JP7650397B1 - Apparatus and method for generating a signal, apparatus for demodulating a signal, measuring apparatus, simulation apparatus, apparatus for analyzing a circuit, transmitting apparatus, communication system, power transmitting apparatus, wireless power transmission system, circuit, amplifier circuit, and program - Google Patents

Abstract

An apparatus for generating a signal having an arbitrary instantaneous frequency change and an arbitrary instantaneous amplitude change is provided.
[Solution] A first signal generating device 300 comprises a memory unit 301 that stores setting data for amplitudes A _k , multiple frequencies (f _k = ω _k /2π) and multiple phases φ _k , which are multiple constants or time-varying variables to be applied to multiple amplitude-modulated single-tone waves represented by the following equation (1), a single-tone wave generating unit 302 that generates multiple amplitude-modulated single-tone waves to which the multiple amplitudes, the multiple frequencies and the multiple phases are respectively applied, and an output generating unit 303 that synthesizes the multiple single-tone waves and generates an output signal s(t) of the following equation (2) having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t).

[Selection] Figure 20

Description

This disclosure relates to signal generation, demodulation, measurement, simulation, analysis, transmission, communication, power transmission, wireless power transmission, circuits, amplifier circuits, and programs in a multi-tone environment.

A conventional method is to input a signal that is a composite of sine waves of multiple frequencies to a target and measure its characteristics.

For example, Patent Document 1 discloses a device characteristic testing method in which a test signal containing a mixture of sine waves of multiple different frequencies output from a signal generator is input to a device under test, a signal output from the device under test in response to the test signal containing a mixture of sine waves of multiple different frequencies is stored in memory, the signal stored in memory is analyzed by a processor, and components indicative of the characteristics of the device under test are derived.

JP 2004-061415 A

A signal generating device according to one aspect of the present disclosure (hereinafter referred to as "first aspect") includes a memory unit that stores setting data for amplitudes (A k ), multiple frequencies (f k = ω k /2π), and multiple phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k = _{1 to} n) (n is an integer of 2 or more) amplitude-modulated single-tone waves represented by the following formula ( ₁ ); a single-tone wave generating unit that generates multiple amplitude-modulated single-tone waves to which the multiple amplitudes (A _k ), the multiple frequencies (f _k = ω _k /2π), and the multiple phases (φ _k ), respectively, are applied; and an output generating unit that synthesizes the multiple single-tone waves to generate an output signal s(t) of the following formula (2) having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t).

In the device according to the first aspect, the instantaneous amplitude change A(t) may be expressed as a time function of the following equation (3), the instantaneous frequency change f(t) may be expressed as a time function of the following equation (4), and the output signal s(t) may be expressed as a time function of the following equation (5).

A signal generating device according to another aspect of the present disclosure (hereinafter referred to as a "second aspect") includes a plurality of amplitude modulation units that generate a plurality of amplitude-modulated modulated signals by amplitude-modulating sine waves having different frequencies and phases with different modulation signals, and an output generating unit that synthesizes the plurality of amplitude-modulated modulated signals output from the plurality of amplitude modulation units to generate a frequency-modulated signal having an instantaneous amplitude change and an instantaneous frequency change;
Equipped with.

In the device according to the second aspect, the plurality of amplitude modulation units may include a first amplitude modulation unit that outputs a first amplitude modulated signal having a first frequency, and a second amplitude modulation unit that outputs a second amplitude modulated signal having a second frequency different from the first frequency, and the output generation unit may be an IQ modulation unit that generates the frequency modulated signal by performing IQ modulation on the first amplitude modulated signal and the second amplitude modulated signal as an in-phase component and a quadrature component, respectively.

In any of the devices according to the second aspect, the device may include a plurality of sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, and the output generating unit may synthesize a plurality of frequency modulated signals output from the plurality of sets of IQ modulation units to generate an amplitude modulated and frequency modulated signal having an instantaneous amplitude change and an instantaneous frequency change.

In any of the devices according to the second aspect, the device may include a plurality of sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, and the output generating unit may amplify the plurality of frequency-modulated modulated signals output from the plurality of sets of IQ modulation units with an amplifier, synthesize the plurality of frequency-modulated modulated signals amplified by the amplifier, and generate amplitude-modulated and frequency-modulated signals having instantaneous amplitude changes and instantaneous frequency changes.

A signal generating device according to yet another aspect of the present disclosure (hereinafter referred to as the "third aspect") includes a plurality of frequency modulation units that frequency-modulate sine waves having different amplitudes with different modulation signals to generate a plurality of frequency-modulated modulated signals, and an output generating unit that synthesizes the plurality of frequency-modulated modulated signals output from the plurality of frequency modulation units to generate an amplitude-modulated and frequency-modulated signal having an instantaneous amplitude change and an instantaneous frequency change.

A wireless communication transmitting device according to yet another aspect of the present disclosure (hereinafter referred to as the "fourth aspect") includes a modulation processing unit that generates a modulated signal having an instantaneous amplitude change and an instantaneous frequency change, and a power amplifier that amplifies the modulated signal, and includes, as the modulation processing unit, a device that generates a signal according to any one of the first to third aspects.

A wireless communication system according to yet another aspect of the present disclosure (hereinafter referred to as the "fifth aspect") includes a transmitting device according to the fourth aspect, a transmitting antenna connected to the transmitting device, a receiving antenna that receives a transmission signal transmitted from the transmitting device via the transmitting antenna, and a receiving device connected to the receiving antenna.

A wireless power transmission device according to yet another aspect of the present disclosure (hereinafter referred to as the "sixth aspect") includes a modulation processing unit that generates a modulated signal having an instantaneous amplitude change and an instantaneous frequency change, and a power amplifier that amplifies the modulated signal, and includes, as the modulation processing unit, a device that generates any one of the signals according to the first to third aspects.

A wireless power transmission system according to yet another aspect of the present disclosure (hereinafter referred to as the "seventh aspect") includes a power transmission device according to the sixth aspect, a power transmission antenna connected to the power transmission device, a power receiving antenna that receives a transmission signal for wireless power transmission transmitted from the power transmission device via the power transmission antenna, and a power receiving device connected to the power receiving antenna.

A circuit according to yet another aspect (hereinafter referred to as "eighth aspect") of the present disclosure includes a memory unit that stores setting data for amplitudes (A k ), multiple frequencies (f k = ω k /2π), and multiple phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k = 1 _to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves represented by the following equation ( ₆ ); a single-tone wave generation unit that generates multiple amplitude-modulated single-tone waves to which the multiple amplitudes (A _k ), the multiple frequencies (f _k = ω _k /2π), and the multiple phases (φ _k ), respectively, are applied; and an output generation unit that synthesizes the multiple single-tone waves and generates an output signal s(t) of the following equation (7) having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t).

In the circuit according to the eighth aspect, the instantaneous amplitude change A(t) may be expressed as a time function of the following equation (8), the instantaneous frequency change f(t) may be expressed as a time function of the following equation (9), and the output signal s(t) may be expressed as a time function of the following equation (10).

A circuit according to yet another aspect of the present disclosure (hereinafter referred to as the "ninth aspect") includes a plurality of amplitude modulation units that generate a plurality of amplitude-modulated signals by amplitude-modulating sine waves having different frequencies and phases with different modulation signals, and an output generation unit that synthesizes the plurality of amplitude-modulated signals output from the plurality of amplitude modulation units and generates a frequency-modulated signal having an instantaneous amplitude change and an instantaneous frequency change.

In the circuit according to the ninth aspect, the plurality of amplitude modulation units may include a first amplitude modulation unit that outputs a first amplitude modulated signal having a first frequency, and a second amplitude modulation unit that outputs a second amplitude modulated signal having a second frequency different from the first frequency, and the output generating unit may be an IQ modulation unit that generates the frequency modulated signal by performing IQ modulation on the first amplitude modulated signal and the second amplitude modulated signal as an in-phase component and a quadrature component, respectively.

In any of the circuits according to the ninth aspect, the circuit may include a plurality of sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, and the output generating unit may synthesize a plurality of frequency-modulated modulated signals output from the plurality of sets of IQ modulation units to generate an amplitude-modulated and frequency-modulated signal having an instantaneous amplitude change and an instantaneous frequency change.

In any of the circuits according to the ninth aspect, the circuit may include a plurality of sets of the first amplitude modulation unit, the second amplitude modulation unit, and the IQ modulation unit, and the output generating unit may amplify the plurality of frequency-modulated modulated signals output from the plurality of sets of IQ modulation units with an amplifier, synthesize the plurality of frequency-modulated modulated signals amplified by the amplifier, and generate an amplitude-modulated and frequency-modulated signal having an instantaneous amplitude change and an instantaneous frequency change.

A circuit according to yet another aspect of the present disclosure (hereinafter referred to as "aspect 10") includes a plurality of frequency modulation units that frequency-modulate sine waves having different amplitudes with different modulation signals, and an output generation unit that synthesizes the plurality of frequency-modulated signals output from the plurality of frequency modulation units to generate an amplitude-modulated and frequency-modulated signal having instantaneous amplitude changes and instantaneous frequency changes.

An amplifier circuit according to yet another aspect of the present disclosure (hereinafter referred to as the "eleventh aspect") has any one of the circuits according to the ninth to tenth aspects.

A method for generating a signal according to yet another aspect (hereinafter referred to as "aspect 12") of the present disclosure includes storing setting data for amplitudes (A k ), multiple frequencies (f k = ω k /2π), and multiple phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k = ₁ to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves represented by the following equation ₍₁₁ ); generating multiple amplitude-modulated single-tone waves to which the multiple amplitudes (A _k ), the multiple frequencies (f _k = ω _k /2π), and the multiple phases (φ _k ), respectively, are applied; and synthesizing the multiple single-tone waves to generate an output signal s(t) of the following equation (12) having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t).

In the method according to the twelfth aspect, the instantaneous amplitude change A(t) may be expressed as a time function of the following equation (13), the instantaneous frequency change f(t) may be expressed as a time function of the following equation (14), and the output signal s(t) may be expressed as a time function of the following equation (15).

A method for generating a signal according to yet another aspect of the present disclosure (hereinafter referred to as "a thirteenth aspect") includes amplitude modulating sine waves having different frequencies and phases with different modulation signals to generate a plurality of amplitude-modulated modulated signals, and synthesizing the plurality of amplitude-modulated modulated signals to generate a frequency-modulated signal having an instantaneous amplitude change and an instantaneous frequency change.

A method for generating a signal according to yet another aspect of the present disclosure (hereinafter referred to as "aspect 14") includes frequency modulating sine waves having different amplitudes with different modulation signals to generate a plurality of frequency-modulated signals, and synthesizing the plurality of frequency-modulated signals to generate an amplitude-modulated and frequency-modulated signal having an instantaneous amplitude change and an instantaneous frequency change.

A program according to yet another aspect of the present disclosure (hereinafter referred to as the "fifteenth aspect") is a program for causing a computer or processor to function as a device for generating any one of the signals according to the first to third aspects.

An apparatus according to yet another aspect (hereinafter referred to as "aspect 16") of the present disclosure is an apparatus for performing a simulation to analyze the behavior of waves in a nonlinear system in a multi-tone environment. This apparatus includes: a storage unit that stores setting data of amplitudes (A k ), frequencies (f k =ω k /2π), and phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k = ₁ to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves expressed by the following formula ( ₁₆ ); a single-tone wave generation unit that generates multiple amplitude-modulated single-tone waves to which the multiple amplitudes (A _k ), the multiple frequencies (f _k =ω _k /2π), and the multiple phases (φ _k ), respectively, are applied; and an output generation unit that synthesizes the multiple single-tone waves and generates an output signal s(t) of the following formula (17) corresponding to a wave having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t).

In the device according to the sixteenth aspect, the instantaneous amplitude change A(t) may be expressed as a time function of the following equation (18), the instantaneous frequency change f(t) may be expressed as a time function of the following equation (19), and the output signal s(t) may be expressed as a time function of the following equation (20).

In any of the devices according to the sixteenth aspect, the nonlinear system of the multi-tone environment may include a space having a plurality of (k=1 to n) (n is an integer equal to or greater than 2) wave sources that emit waves, and may include a memory unit that stores setting data for each of the plurality of wave sources, the position of the wave source in the space, modulation information of waves s _k (t) emitted by the wave source, and setting data for propagation characteristics of the waves in the space, a division unit that divides the space into a plurality of meshes, and an output unit that outputs, for each of the plurality of meshes, an arrival profile of the following equation (21) including amplitudes, frequencies, and time changes of the plurality of waves ( _k =1 to n) that have been reached by the waves s k (t) from the plurality of wave sources.

In any of the devices according to the 16th aspect, a calculation unit may be provided that calculates the results of the simulation based on the attainment profile for each mesh.

In any of the devices according to the sixteenth aspect, the simulation may be a simulation for evaluating distortion in communication using a low-noise amplifier, a simulation for evaluating a frequency shift phenomenon caused by arranging multiple sound sources, or a simulation for evaluating the received power when a modulated wave is input to a rectenna in wireless power transmission.

An apparatus according to yet another aspect (hereinafter referred to as a "seventeenth aspect") of the present disclosure is an apparatus for performing a simulation to analyze a circuit having nonlinear characteristics. The apparatus includes an input unit that inputs an input signal s(t) of the following equation (22) having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) to a modeled circuit to be analyzed having nonlinear characteristics, and a calculation unit that calculates a characteristic of the circuit, which is a function of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on a signal output from the circuit.

In the device according to the seventeenth aspect, the circuit to be analyzed is a high-frequency conversion circuit,
The characteristic of the circuit may be a conversion characteristic that indicates the relationship between the input and output of the circuit.

In the device according to the seventeenth aspect, the circuit to be analyzed may be a rectifier circuit constituting a rectenna of a wireless power transmission receiving device, and the characteristic of the circuit may be the efficiency of the circuit in a steady state.

In the device according to the seventeenth aspect, the circuit to be analyzed may be an amplifier circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplifier circuit.

A method according to yet another aspect (hereinafter referred to as "Aspect 18") of the present disclosure is a method for performing a simulation to analyze the behavior of waves in a nonlinear system in a multi-tone environment. This method includes storing setting data of amplitudes (A k ), frequencies (f k =ω k /2π), and phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k = ₁ to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves expressed by the following formula ( ₂₃ ), generating multiple amplitude-modulated single-tone waves to which the multiple amplitudes (A _k ), the multiple frequencies (f _k =ω _k /2π), and the multiple phases (φ _k ), respectively, are applied, and synthesizing the multiple single-tone waves to generate an output signal s(t) of the following formula (24) corresponding to a wave having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t).

In the method according to the 18th aspect, the instantaneous amplitude change A(t) may be expressed as a time function of the following equation (25), the instantaneous frequency change f(t) may be expressed as a time function of the following equation (26), and the output signal s(t) may be expressed as a time function of the following equation (27).

In any of the methods according to the 18th aspect, the nonlinear system of the multi-tone environment may include a space having a plurality of (k=1 to n) (n is an integer equal to or greater than 2) wave sources that emit waves, and may include storing setting data for each of the plurality of wave sources, the positions of the wave sources in the space, modulation information for waves s _k (t) emitted by the wave sources, and setting data for propagation characteristics of the waves in the space, dividing the space into a plurality of meshes, and outputting, for each of the plurality of meshes, an arrival profile of the following equation (28) including amplitudes, frequencies, and time changes of the plurality of waves (k=1 to n) reached by the waves s _k (t) from the plurality of wave sources, for each of the plurality of meshes:

In any of the methods according to the 18th aspect, the method may include generating an output signal s(t) of equation (24) corresponding to a wave having the initial phase _φ0 , the instantaneous amplitude change A(t), and the instantaneous frequency change f(t) at any position in the space based on the arrival profile for each mesh and modulation information of the multiple wave sources, and calculating a result of the simulation.

In any of the methods according to the 18th aspect, the simulation may be a simulation for evaluating distortion in communication using a low-noise amplifier, a simulation for evaluating a frequency shift phenomenon caused by arranging multiple sound sources, or a simulation for evaluating the received power when a modulated wave is input to a rectenna in wireless power transmission.

A method according to yet another aspect (hereinafter referred to as a "19th aspect") of the present disclosure is a method for performing a simulation to analyze a circuit having nonlinear characteristics. This method includes inputting an input signal s(t) of the following equation (29) having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) to a circuit to be analyzed having nonlinear characteristics, and calculating a characteristic of the circuit, which is a function of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on a signal output from the circuit.

In the method according to the 19th aspect, the circuit to be analyzed may be a high-frequency conversion circuit, and the characteristics of the circuit may be conversion characteristics that indicate the relationship between the input and output of the circuit.

In any of the methods according to the 19th aspect, the circuit to be analyzed may be a rectifier circuit constituting a rectenna of a power receiving device for wireless power transmission, and the characteristics of the circuit may be efficiency characteristics of the circuit in a steady state.

In any of the methods according to the 19th aspect, the circuit to be analyzed may be an amplifier circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplifier circuit.

A program according to yet another aspect of the present disclosure (hereinafter referred to as the "twentieth aspect") is a program for causing a computer or processor to function as any one of the devices according to the sixteenth to seventeenth aspects.

An apparatus according to yet another aspect (hereinafter referred to as a “21st aspect”) of the present disclosure is an apparatus for measuring a circuit having nonlinear characteristics, comprising: an input unit that inputs an input signal s(t) of the following equation (30) having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) to a circuit to be measured having nonlinear characteristics, and a calculation unit that calculates a characteristic of the circuit, which is a function of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on a signal output from the circuit.

In the device according to the twenty-first aspect, the circuit to be measured may be a high-frequency conversion circuit, and the characteristic of the circuit may be a conversion characteristic indicating the relationship between the input and output of the circuit.

In the device according to the 21st aspect, the circuit to be measured may be a rectifier circuit constituting a rectenna of a wireless power transmission receiving device, and the characteristics of the circuit may be the efficiency characteristics of the circuit in a steady state.

In the device according to the twenty-first aspect, the circuit to be measured may be an amplifier circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplifier circuit.

An apparatus according to yet another aspect (hereinafter referred to as a "22nd aspect") of the present disclosure is an apparatus for generating a trained model. The apparatus includes: a data storage unit that calculates an output signal from the circuit _when a plurality of input signals s(t) are input to the circuit, the output signal being calculated for the plurality of input signals s(t) of the following formula (31) having an initial phase φ 0 , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t), and that stores data of a plurality of sets of input/output characteristics indicating a relationship between the plurality of input signals s(t) and the output signal; a learning unit that performs machine learning using the data of the plurality of sets of input/output characteristics as training data; and a model generation unit that generates a trained model of the characteristics of the circuit based on a result of the machine learning by the learning unit.

In the device according to the twenty-second aspect, the circuit may be a high-frequency conversion circuit, and the characteristic of the circuit may be a conversion characteristic that indicates the relationship between the input and output of the circuit.

In the device according to the twenty-second aspect, the circuit may be a rectifier circuit constituting a rectenna of a wireless power transmission receiving device, and the characteristics of the circuit may be efficiency characteristics of the circuit in a steady state.

In the device according to the twenty-second aspect, the circuit may be an amplifier circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplifier circuit.

An apparatus according to yet another aspect of the present disclosure (hereinafter referred to as the "23rd aspect") is an apparatus that performs demodulation to restore an input signal of a circuit. This apparatus includes a storage unit that stores a trained model generated by any of the apparatuses according to the 22nd aspect, and a demodulation unit that uses the trained model to generate a signal that restores the input signal of the circuit based on the measurement results of the output signal of the circuit.

An apparatus according to yet another aspect of the present disclosure (hereinafter referred to as the "24th aspect") is an apparatus for optimizing a circuit. This apparatus includes a storage unit that stores a trained model generated by any of the apparatuses according to the 22nd aspect, and an optimization processing unit that uses the trained model to correct and optimize the characteristics of the circuit.

A method according to still another aspect (hereinafter referred to as a "25th aspect") of the present disclosure is a method for generating a trained model. This method includes: calculating an output signal from the circuit when a plurality of input signals s(t) having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) of the following formula (32) are input to the circuit, storing data of a plurality of sets of input/output characteristics indicating a relationship between the plurality of input signals s(t) and the output signal; and performing machine learning using the data of the plurality of sets of input/output characteristics as training data to generate a trained model of characteristics of the circuit.

In the method according to the twenty-fifth aspect, the circuit may be a high-frequency conversion circuit, and the characteristic of the circuit may be a conversion characteristic that indicates the relationship between the input and output of the circuit.

In the method according to the twenty-fifth aspect, the circuit may be a rectifier circuit constituting a rectenna of a wireless power transmission receiving device, and the characteristics of the circuit may be efficiency characteristics of the circuit in a steady state.

In the method according to the twenty-fifth aspect, the circuit may be an amplifier circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplifier circuit.

A program according to yet another aspect of the present disclosure (hereinafter referred to as the "26th aspect") is a program for causing a computer or processor to function as any one of the devices according to the 22nd to 24th aspects.

FIG. 1 is a diagram showing an example of an actual operation model of a wireless power transmission (WPT) system. FIG. 2 is a diagram showing an example of transmission and reception of a wireless power transmission signal (WPT signal) between a power transmitting device and a power receiving device in a wireless power transmission (WPT) system. FIG. 3 is a diagram showing an example of a schematic of wireless power transmission from a power transmitting device to a power receiving device in a wireless power transmission (WPT) system. FIG. 4 is a diagram showing an example of a configuration of a main part of a wireless power transmission (WPT) system. FIG. 5 is a diagram showing an example of transmission and reception of a plurality of wireless power transmission signals (WPT signals) of the same frequency in a wireless power transmission (WPT) system. FIG. 6 is a diagram illustrating an example of a power receiving device that receives a plurality of wireless power transmission signals (WPT signals) of the same frequency. FIG. 7 is a diagram showing an example of transmission and reception of a plurality of wireless power transmission signals (WPT signals) having different frequencies in a wireless power transmission (WPT) system. FIG. 8 is a diagram illustrating an example of a power receiving device that receives a plurality of wireless power transmission signals (WPT signals) having different frequencies. FIG. 9 is a diagram showing an example of transmission and reception of a plurality of downlink signals with different frequencies in a communication system. 10A is a diagram showing an example of a signal before synthesis (before superposition) in a multi-tone environment, and FIG 10B is a diagram showing an example of a multi-tone signal after synthesis. FIG. 11 is a graph showing an example of frequency fluctuation of a multi-tone signal. FIG. 12 is a graph showing an example of power fluctuation of a multi-tone signal. FIG. 13 is a diagram showing an example of a multi-tone signal. FIG. 14 is a diagram showing an example of the characteristics of a rectifier circuit when a continuous wave and a modulated wave are input. FIG. 15 is a diagram illustrating an example of an input/output model of a conversion circuit. FIG. 16 is a diagram showing an example of the input and output of a conversion circuit having linear characteristics. FIG. 17 is a diagram showing another example of the input and output of a conversion circuit having a nonlinear characteristic. FIG. 18 is a diagram illustrating an example of an input/output model of a conversion circuit in the frequency domain. FIG. 19 is a diagram illustrating an example of an input/output model of a conversion circuit in the time domain. FIG. 20 is a block diagram showing an example of a main configuration of a first signal generating device according to an embodiment. FIG. 21 is a flowchart showing an example of signal generation in the first signal generating device according to the embodiment. FIG. 22 is a block diagram showing an example of a configuration of a main part of a second signal generating device according to an embodiment. FIG. 23 is a flowchart illustrating an example of signal generation in the second signal generating device according to the embodiment. FIG. 24 is a block diagram showing an example of a configuration of a main part of a third signal generating device according to an embodiment. FIG. 25 is a flowchart illustrating an example of signal generation in the third signal generating device according to the embodiment. FIG. 26 is a block diagram showing an example of a configuration of a main part of a fourth signal generating device according to an embodiment. FIG. 27 is a block diagram showing an example of a configuration of a main part of a fifth signal generating device according to an embodiment. FIG. 28 is a block diagram showing an example of a configuration of a main part of a sixth signal generating device according to an embodiment. FIG. 29 is a block diagram showing an example of a configuration of a main part of a seventh signal generating device according to an embodiment. FIG. 30 is a block diagram showing an example of a configuration of a main part of an eighth signal generating device according to an embodiment. FIG. 31 is a diagram illustrating an example of a circuit including the circuit of the signal generating device according to the embodiment. FIG. 32 is a graph showing an example of a change in phase of an amplitude-modulated and frequency-modulated signal. FIG. 33 is a graph showing an example of a frequency modulated signal decomposed from an amplitude modulated and frequency modulated signal using a method according to an embodiment. FIG. 34 is a graph showing an example of a frequency modulated signal decomposed from an amplitude modulated and frequency modulated signal by the method of the reference example. FIG. 35 is a block diagram showing an example of a configuration of a main part of a first simulation device according to an embodiment. FIG. 36 is a flowchart showing an example of a simulation in the first simulation device according to the embodiment. FIG. 37 is a graph showing an example of a reaching profile in the ray tracing method. FIG. 38 is a block diagram showing an example of a configuration of a main part of a second simulation device according to an embodiment. FIG. 39 is a flowchart showing an example of a simulation in the second simulation device according to the embodiment. FIG. 40 is a block diagram showing an example of a configuration of a main part of a third simulation device according to an embodiment. FIG. 41 is a flowchart showing an example of a simulation in the third simulation device according to the embodiment. FIG. 42 is a block diagram showing an example of a configuration of a main part of a measurement device according to an embodiment. FIG. 43 is a flowchart showing an example of measurement in the measurement device according to the embodiment. FIG. 44 is a diagram showing an example of an input/output model of an amplifier (amplification circuit) in the time domain. FIG. 45 is a block diagram showing an example of a main configuration of a machine learning device according to an embodiment. FIG. 46 is a flowchart showing an example of machine learning in the machine learning device according to the embodiment. FIG. 47 is a block diagram showing an example of a configuration of a main part of a demodulation device according to an embodiment. FIG. 48 is a block diagram showing an example of a configuration of a main part of an optimization device according to an embodiment.

Below, an embodiment of the present disclosure will be described with reference to the drawings. Note that each figure in the drawings merely shows a schematic representation of the shape, size, positional relationship, corresponding relationship, configuration, processing, steps, procedures, etc. to the extent that the contents of the present disclosure can be understood, and therefore the present disclosure is not limited to only the shape, size, positional relationship, corresponding relationship, configuration, processing, steps, and procedures exemplified in each figure. Furthermore, the numerical values exemplified in this disclosure are merely preferred examples, and therefore the present disclosure is not limited to the numerical values exemplified.

In the embodiments of the present disclosure, examples of generating and using signals having instantaneous amplitude changes and instantaneous frequency changes in a multi-tone environment, simulating wave propagation and circuits using the signals, measuring circuit characteristics, and demodulating and optimizing signals are described. In addition, in the embodiments of the present disclosure, examples of analyzing, reproducing, and using instantaneous frequency fluctuation characteristics in a multi-tone environment in which circuits and waves such as electromagnetic waves exist are described. Here, in this disclosure, a multi-tone environment means an environment in which signals of multiple frequencies, waves such as radio waves (electromagnetic waves) and sound waves exist, and a multi-tone signal means multiple signals with different frequencies in a multi-tone environment, or a signal in which the multiple signals overlap (are combined).

In addition, in an embodiment of the present disclosure, the frequency of the radio waves (electromagnetic waves) for wireless power transmission and wireless communication is, for example, microwaves, millimeter waves, or submillimeter waves of 300 MHz or higher.

Fig. 1 is a diagram showing an example of an actual operation model of a wireless power transmission (WPT) system 100. In Fig. 1, the WPT system 100 includes, for example, a plurality of power transmitting devices 110(1) to 110(4) arranged in an indoor space 900, which is a space to be operated, and a plurality of power receiving devices 120 that receive high-frequency wireless power transmission signals (WPT signals) of a predetermined frequency transmitted from the power transmitting devices 110(1) to 110(4) and output DC power. As shown in Fig. 2, each of the plurality of power receiving devices 120 simultaneously receives a plurality of WPT signals S _WPT transmitted from the plurality of power transmitting devices 110(1) to 110(4).

Figure 3 is a diagram showing an example of a schematic of wireless power transmission from a power transmitting device 110 to a power receiving device 120 of a wireless power transmission (WPT) system 100. In Figure 3, a WPT signal consisting of high-frequency radio frequency (RF) radio waves is transmitted from a power transmitting antenna 111 of the power transmitting device 110 via a predetermined directional beam. The power transmitting antenna 111 is, for example, an array antenna in which multiple antenna elements are arranged two-dimensionally. The power receiving device 120 includes a power receiving antenna 121 that receives a WPT signal consisting of high-frequency radio frequency (RF) radio waves transmitted from the power transmitting antenna 111 of the power transmitting device 110, and a rectifier 122 having a conversion circuit that converts AC to DC. The power receiving antenna 121 is, for example, an array antenna in which multiple antenna elements 121a are arranged two-dimensionally. The rectifier 122 has a rectifier circuit group consisting of multiple rectifier circuits connected to the multiple antenna elements 121a of the power receiving antenna 121, for example, and outputs direct current (DC) power.

Figure 4 is a diagram showing an example of the main configuration of a wireless power transmission (WPT) system 100. In Figure 4, the power transmission device 110 includes, for example, an oscillator 112 that outputs a high-frequency sine wave (carrier wave) signal of a predetermined frequency, a modulator 113 that modulates the carrier wave output from the oscillator 112 using a predetermined modulation method, and a (power) amplifier 114 that amplifies the modulated signal output from the modulator 113. The transmission signal (modulated signal) amplified to a predetermined power by the amplifier 114 is transmitted from the power transmission antenna 111. The high-frequency WPT signal received via the power receiving antenna 121 of the power receiving device 120 is converted to direct current by the rectifier 122. The direct current power output from the rectifier 122 is supplied to the load 910.

Fig. 5 is a diagram showing an example of transmission and reception of multiple wireless power transmission signals (WPT signals) S WPT of the same frequency in a wireless power transmission (WPT) system 100. In the ideal example of Fig. 5, multiple power transmitting devices 110(1) to 110(4) of the WPT system 100 transmit WPT signals S _WPT of the same frequency f with transmission powers _{P 1} to P _4. In this case, as shown in Fig. 6, a reception signal S _R having a substantially constant amplitude and reception power in which multiple WPT signals S _WPT of the same frequency f from the power transmitting devices 110(1) to 110(4) are superimposed is received by the power receiving device 120.

FIG. 7 is a diagram showing an example of transmission and reception of a plurality of wireless power transmission signals (WPT signals) S _WPT having different frequencies in a wireless power transmission (WPT) system. In the example of a realistic multi-tone environment in FIG. 7, there is a difference in transmission frequency between the plurality of power transmitting devices 110(1) to 110(4), and the plurality of power transmitting devices 110(1) to 110(4) of the WPT system 100 transmit WPT signals S _WPT having a plurality of frequencies f ₁ to f ₄ having different frequencies with transmission powers P ₁ to P _4. In this case, as shown in FIG. 8, a reception signal S R accompanied by frequency fluctuation and reception power fluctuation in which the WPT signals S _WPT having a plurality of frequencies f ₁ to f ₄ , which are multi-tone signals transmitted from the power transmitting devices ₁₁₀ (1) to 110(4), are superimposed is received by the power receiving device 120.

Fig. 9 is a diagram showing an example of transmission and reception of multiple downlink signals S _DL having different frequencies in a communication system 200. In Fig. 9, the communication system 200 includes, for example, base stations 210 (1) to 210 (4) as multiple transmitting devices arranged in a space to be operated, and terminal devices 220 as multiple receiving devices that receive high-frequency downlink signals S _DL of a predetermined frequency transmitted from the base stations 210 (1) to 210 (4). As shown in Fig. 9, each of the multiple terminal devices 220 simultaneously receives a downlink signal S _DL transmitted from a base station of a cell in which the device itself is located and a downlink signal S _DL transmitted from a base station of a surrounding cell.

The environment of the communication system 200 in Fig. 9 may also be a multi-tone environment in which there is a difference in transmission frequency between the multiple base stations (transmitting devices) 210(1) to 210(4), and downlink signals S _DL of multiple frequencies f ₁ to f ₄ with different frequencies from each other are transmitted from the multiple base stations (transmitting devices) 210(1) to 210(4) with transmission powers P ₁ to P _4. Even in the multi-tone environment of this communication system 200, the terminal device 220 receives a reception signal S R accompanied by frequency fluctuations and reception power fluctuations in which the downlink signals S _DL of multiple frequencies f ₁ to f ₄ , which are multi-tone signals transmitted from the base stations (transmitting devices) 210( ₁₎ to 210(4), are superimposed.

FIG. 10(a) is a diagram showing an example of multi-tone signals S1 to S4 before synthesis (before superposition) in a multi-tone environment. FIG. 10(b) is a diagram showing an example of a multi-tone signal S _MT after synthesis. When the signals S1 to S4 in the multi-tone environment illustrated in FIG. 10(a) are synthesized (superposed), a multi-tone signal S _MT after synthesis accompanied by frequency fluctuations (see FIG. 11) and received power fluctuations (see FIG. 12) is generated as shown in FIG. 10(b). That is, a multi-tone environment has an instantaneous frequency fluctuation characteristic in which signals (waves) with different frequencies overlap each other and instantaneous amplitude modulation as well as instantaneous frequency modulation occurs. Some circuits, devices, and systems show a response to the instantaneous frequency fluctuation characteristic of this multi-tone environment. In the embodiment of the present disclosure, an example of analysis, reproduction, and utilization of a waveform of a multi-tone signal having an instantaneous frequency fluctuation characteristic in a multi-tone environment that affects the response of a circuit, device, and system is shown.

[Waveform analysis]
In the case where there are multiple transmitting stations (power transmitting device 110 or transmitting device 210) and multiple receiving stations (power receiving device 120 or receiving device 220) as in the wireless power transmission (WPT) system (see FIG. 7) and communication system (see FIG. 9) described above, the signal received by the receiving station is subjected to amplitude modulation (instantaneous amplitude fluctuation) and frequency modulation (instantaneous frequency fluctuation) due to interference between multiple signals (multi-tone interference). By analyzing the waveform of the signal subjected to these amplitude modulations (instantaneous amplitude fluctuations) and frequency modulations (instantaneous frequency fluctuations) and knowing the characteristics of the instantaneous frequency fluctuations, the efficiency of the received power at the receiving station (power receiving device 120 or receiving device 220) (for example, the power receiving efficiency at the power receiving device 120) can be accurately estimated.

[Waveform Reproduction]
As described above, in a multi-tone environment, instantaneous amplitude fluctuations and instantaneous frequency fluctuations occur due to overlapping of waves (signals) (see, for example, FIG. 13). In other words, by selecting and synthesizing a suitable number of waves (signals), it is possible to calculate and reproduce (generate) a signal having any instantaneous amplitude change and instantaneous frequency change (instantaneous amplitude fluctuation and instantaneous frequency fluctuation). For example, by reproducing (generating) a frequency-varying wave without amplitude fluctuation, it is possible to improve distortion in signal amplification by an amplifier (amplification circuit).

[Using Waveforms]
By using the signal (waveform) having the instantaneous amplitude change and instantaneous frequency change calculated by the synthesis of the above-mentioned appropriate multiple waves (signals), it is possible to calculate the characteristics of the rectifier circuit of the above-mentioned power receiving device 120 (see FIG. 14) and the characteristics of the amplifier (amplification circuit) of the receiving device 220 when a signal having an instantaneous amplitude change and instantaneous frequency change is input. In addition, since it is possible to calculate the entire waveform of a multi-tone interference wave having an instantaneous amplitude change and instantaneous frequency change, it is possible to use it for new distortion correction (inverse correction) and demodulation of a received signal by back-calculating the input from the output. Furthermore, it can be used to improve the amount of information transmitted in a communication system and to design a wireless power transmission (WPT) system.

In an embodiment of the present disclosure, the instantaneous frequency variation characteristics of a circuit in a multi-tone environment can be analyzed using the following method.

[Analysis method for instantaneous frequency fluctuation characteristics (new analytical formula)]
15, 16, and 17 are diagrams showing examples of input/output models of conversion circuits 800, 810, and 820, respectively. In the general conversion circuit 800 shown in FIG. 15, when an input x _input and an output x _output exist, the operation of the conversion circuit 800 can be defined as a function g. For example, when the input wave 811 and the output wave 812 are considered as a whole (over the entire range of the target time range) as shown in FIG. 16, the conversion circuit 810 is a linear circuit having linear characteristics. Also, when the conversion circuit 820 is a nonlinear circuit having nonlinear characteristics as shown in FIG. 17, it is considered that the conversion process continues to be performed for each partial waveform 821, 822, and 823 obtained by dividing the target time range.

When an input signal to a circuit is expressed by the following equation (33) (a _k are constants), and an output signal is expressed by the following equation (34), the function g that defines the operation of the circuit is said to be linear. On the other hand, if the function g is nonlinear, the following equation (34) does not hold.

When the function g for which the above formula (34) does not hold is nonlinear, it is impossible in principle to estimate the circuit characteristics by decomposing the input signal x _input . Therefore, in the embodiment of the present disclosure, a method is used to calculate the output signal x _output by focusing on the time characteristic (x _input (t)) of the input signal as shown in the following formula (35).

Here, the input signal x _input (t) having a time characteristic is defined not by an instantaneous value but by an instantaneous amplitude A(t) and an instantaneous frequency f(t) as shown in the following equation (36).

In the embodiment of the present disclosure, instead of estimating the characteristic g in the frequency domain of the nonlinear conversion circuit 810 by decomposing the input signal as shown in FIG. 18, the characteristic g in the time domain of the nonlinear conversion circuit 820 is estimated using the input signal x _input (t) defined by the above equation (36), as shown in FIG. 19.

In the embodiments of the present disclosure, the nonlinear circuit that performs characteristic estimation is a circuit that generates analog or digital nonlinear conversion between input and output. For example, an example of an analog nonlinear circuit is a circuit that uses diodes and transistors, which are nonlinear elements. Examples of analog nonlinear circuits include an amplifier circuit that includes a transistor, and a rectifier circuit that includes a diode or a transistor.

As shown in the wireless power transmission (WPT) system (see FIG. 7) and the communication system (see FIG. 9) described above, it is known that when two or more signals (waves) of different frequencies enter the same receiving station (power receiving device 120, receiving device (terminal device) 220), amplitude and frequency modulation (beat) occurs. Here, the beat f(t)=sin( _ω1t )+sin( _ω2t ) generated by two identical amplitude signals (interference waves) sin( _ω1t ) and sin( _ω2t ) of different frequencies ( _ω1 , _ω2 ) becomes a single-frequency amplitude-modulated wave represented by the following equation (39) when ω in the following equation (37) and Δω in the following equation (38) are defined.

When multiple waves (interference waves) interfering with each other have unequal amplitudes, the beat s(t) is expressed by the following equation (40) and the representative frequency is _ω0. Then, the beat s(t) is expressed by the following equation (41), and the beat amplitude waveform A(t) ² is expressed by the following equation (42).

Similarly, when the beat s(t) is expressed by the following equation (43), the amplitude waveform A(t) ² of the beat is expressed by the following equation (44).

[New analytical formula for signals with instantaneous frequency change]
In an embodiment of the present disclosure, a novel analytical formula shown below is proposed for a signal having any instantaneous amplitude change and instantaneous frequency change (instantaneous amplitude fluctuation and instantaneous frequency fluctuation), and examples of its use in various applications are shown.

In this embodiment, attention is paid to the fact that a signal s(t) emitted by a signal source in a multi-tone environment is expressed by the following equation (45), and an instantaneous frequency change f(t) is derived by the following equation (46).

By substituting the following equations (47) and (48) into the above equation (46), an analytical equation (general solution) for the instantaneous frequency change f(t) shown in the following equation (49) can be obtained.

The analytical formula for the instantaneous frequency change f(t) shown in the above formula (49) is intended for signals in which the signal s(t) emitted by a signal source in a multi-tone environment is expressed by the above formula (47). However, as described later, any amplitude-frequency modulated wave (modulated wave that has been subjected to amplitude modulation and frequency modulation) can be decomposed into an amplitude modulated wave (modulated wave that has been subjected to amplitude modulation), so any modulated wave having an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) can be described by the analytical formulas shown in the above formulas (45), (48), and (49). In addition, the above analytical formulas that can describe any modulated wave having an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) are useful for evaluating the effect of multi-tone interference in communications and for designing systems for wireless power transmission.

[First signal generating device and method]
20 is a block diagram showing an example of a configuration of a main part of a first signal generating device 300 according to an embodiment. In FIG. 20, the first signal generating device 300 includes a storage unit 301, a single tone wave generating unit 302, and an output signal generating unit 303.

The memory unit 301 stores setting data of amplitudes (A k ), multiple frequencies (f k = ω k /2π), and multiple phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k = ₁ to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves expressed by the following equation ( ₅₀ ):

The single-tone wave generating section 302 generates a plurality of amplitude-modulated single-tone waves by applying the plurality of amplitudes (A _k ), the plurality of frequencies (f _k =ω _k /2π) and the plurality of phases (φ _k ), respectively.

The output generating unit 303 combines the multiple single tone waves generated by the single tone wave generating unit 302 to generate an output signal s(t) (multi-tone modulated wave) having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) as expressed by the following equation (51).

In the above equation (51), for example, the instantaneous amplitude change A(t) is expressed as a time function of the following equation (52), the instantaneous frequency change f(t) is expressed as a time function of the following equation (53), and the output signal s(t) is expressed as a time function of the following equation (54).

Fig. 21 is a flowchart showing an example of signal generation in the first signal generating device 300 according to the embodiment. In the first signal generating method S100 in Fig. 21, first, a plurality of constants or time-varying variables, namely, amplitudes ( _Ak ), a plurality of frequencies (fk = ωk/2π) and a plurality of phases ( _φk ) to be applied to a plurality (k = ₁ to n) (n is an integer of 2 or more) of amplitude-modulated single-tone waves expressed by the above formula ( ₅₀ ), are set, and the set data is stored in the storage unit 301 (S101).

Here, the multiple frequencies ( _fk = _ωk /2π) may be the same frequency, or some or all of the multiple frequencies ( _fk = _ωk /2π) may be multiple frequencies different from each other. Furthermore, the multiple amplitudes ( _Ak ), multiple frequencies ( _fk = _ωk /2π) and multiple phases ( _φk ) may be set by an operator or user of the device 300 via a user interface, an operation unit, remote control, or the like, or may be automatically set by the device 300 based on various conditions.

Next, the single-tone wave generating unit 302 reads setting data of multiple amplitudes (A _k ), multiple frequencies (f _k = ω _k /2π) and multiple phases (φ _k ) from the storage unit 301, and generates multiple (k = 1 to n) amplitude-modulated single-tone waves A _k (t) sin(ω _k t + φ _k ) by applying the setting data (S102).

Next, the output signal generating unit 303 synthesizes the multiple single-tone waves A _k (t) sin(ω _k t+φ _k ) generated by the single-tone wave generating unit 302 to generate an output signal s(t) (multi-tone modulated wave) having an initial phase φ ₀ , instantaneous amplitude change A(t) and instantaneous frequency change f(t) as expressed by equation (52) or equation (55) above (S103).

According to the signal generating device 300 and the signal generating method S100 in Figures 20 and 21, an output signal s(t) (multi-tone modulated wave) having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) in a multi-tone environment can be generated based on the proposed equations (50) to (54) above, making it possible to analyze, reproduce, and utilize the instantaneous frequency fluctuation characteristics in a multi-tone environment.

[Second signal generation device]
22 is a block diagram showing an example of a configuration of a main part of a second signal generating device 310 according to an embodiment. In FIG. 22, the second signal generating device 310 includes a storage unit 311, a plurality (n) of amplitude modulation units 312(1) to 312(n), and an output generating unit 313.

The memory unit 311 stores setting data for multiple amplitudes, multiple frequencies, and multiple phases of multiple sine waves (carrier waves) to be amplitude modulated, as well as setting data for multiple modulation signals and modulation conditions used for the amplitude modulation of the multiple sine waves (carrier waves).

Based on the modulation signal and modulation conditions, multiple (n) amplitude modulation units 312(1) to 312(n) amplitude modulate sine waves having different frequencies and phases with different modulation signals to generate multiple amplitude-modulated signals (hereinafter also referred to as "amplitude-modulated waves" or "AM-modulated waves") s _AM1 (t) to s _AMn (t).

The output generating unit 313 synthesizes multiple amplitude-modulated modulated signals (amplitude-modulated waves) s _AM1 (t) to s _AMn (t) output from the multiple amplitude modulation units 312 (1) to 312 (n) to generate a frequency-modulated modulated signal (hereinafter also referred to as a "frequency-modulated wave" or "FM-modulated wave") s _FM (t) having instantaneous amplitude changes and instantaneous frequency changes.

Figure 23 is a flowchart showing an example of signal generation in the second signal generating device 310 according to the embodiment. In the second signal generating method S110 in Figure 23, first, setting data for multiple amplitudes, multiple frequencies, and multiple phases of multiple (n) sine waves (carrier waves) to be amplitude modulated, and multiple modulation signals and modulation conditions to be used for the amplitude modulation of the multiple sine waves (carrier waves), are set, and the setting data is stored in the memory unit 311 (S111).

Here, the multiple amplitudes, multiple frequencies, multiple phases, multiple modulation signals, and modulation conditions may be set by an operator or user of the device 310 via a user interface, an operation unit, remote control, etc., or may be automatically set by the device 310 based on various conditions.

Next, a plurality of amplitude modulation sections 312(1) to 312(n) amplitude-modulate sine waves having different frequencies and phases with different modulation signals and modulation conditions to generate a plurality of amplitude-modulated signals (amplitude-modulated waves) s _AM1 (t) to s _AMn (t).

Next, the output generating unit 313 synthesizes the multiple amplitude-modulated signals (amplitude-modulated waves) s _AM1 (t) to s _AMn (t) output from the multiple amplitude modulation units 312 (1) to 312 (n) to generate a frequency-modulated signal (frequency-modulated wave) s _FM (t) having instantaneous amplitude changes and instantaneous frequency changes.

According to the signal generating device 310 and the signal generating method S110 of FIG. 22 and FIG. 23, a plurality of amplitude-modulated waves s _AM1 (t) to s _AMn (t) can be synthesized to generate a frequency-modulated wave s _FM (t) having instantaneous amplitude changes and instantaneous frequency changes in a multi-tone environment, thereby making it possible to analyze, reproduce and utilize the instantaneous frequency fluctuation characteristics in a multi-tone environment.

[Third signal generation device]
24 is a block diagram showing an example of a main configuration of a third signal generating device 320 according to an embodiment. In FIG. 24, the third signal generating device 320 includes a storage unit 321, a plurality (n) of frequency modulation units 322(1) to 322(n), and an output generating unit 323.

The storage unit 321 stores setting data for multiple amplitudes, multiple frequencies, and multiple phases of multiple sine waves (carrier waves) to be amplitude modulated, as well as setting data for multiple modulation signals and modulation conditions used for frequency modulation of the multiple sine waves (carrier waves).

Based on the modulation signal and modulation conditions, multiple (n) frequency modulation units 322(1) to 322(n) frequency-modulate sine waves having different amplitudes with different modulation signals to generate multiple frequency-modulated signals (frequency-modulated waves) s _FM1 (t) to s _FMn (t).

The output generating unit 323 synthesizes multiple frequency-modulated signals (frequency-modulated waves) s _FM1 (t) to s _FMn (t) output from the multiple frequency modulation units 322 (1) to 322 (n) to generate an amplitude-modulated and frequency-modulated signal (hereinafter also referred to as an "amplitude-frequency modulated wave" or "AMFM-modulated wave") s _AMFM (t) having instantaneous amplitude changes and instantaneous frequency changes.

Figure 25 is a flowchart showing an example of signal generation in the third signal generating device 320 according to the embodiment. In the third signal generating method S120 in Figure 25, first, multiple amplitudes, multiple frequencies, and multiple phases of multiple (n) sine waves (carrier waves) to be frequency modulated, as well as the modulation signal and modulation conditions to be used for the amplitude modulation of the multiple sine waves (carrier waves), are set, and the setting data is stored in the memory unit 311 (S111).

Here, the multiple amplitudes, multiple frequencies, multiple phases, multiple modulation signals, and modulation conditions may be set by an operator or user of the device 320 via a user interface, an operation unit, remote control, etc., or may be automatically set by the device 320 based on various conditions.

Next, a plurality of frequency modulation sections 322(1) to 322(n) frequency-modulate the sine waves having different amplitudes with different modulation signals to generate a plurality of frequency-modulated signals (frequency-modulated waves) s _FM1 (t) to s _FMn (t).

Next, the output generating unit 323 synthesizes the multiple frequency-modulated modulated signals (frequency-modulated waves) s _FM1 (t) to s _FMn (t) output from the multiple frequency modulation units 322 (1) to 322 (n) to generate an amplitude-modulated and frequency-modulated modulated signal (amplitude-frequency modulated wave) s _AMFM (t) having instantaneous amplitude changes and instantaneous frequency changes.

According to the signal generating device 320 and the signal generating method S120 in FIG. 24 and FIG. 25, a plurality of frequency modulated waves s _FM1 (t) to s _FMn (t) can be synthesized to generate an amplitude-frequency modulated wave s _AMFM (t) having instantaneous amplitude changes and instantaneous frequency changes in a multi-tone environment, thereby making it possible to analyze, reproduce and utilize the instantaneous frequency fluctuation characteristics in a multi-tone environment.

[Fourth signal generation device]
Fig. 26 is a block diagram showing an example of a configuration of a main part of a fourth signal generating device 330 according to an embodiment. The fourth signal generating device 330 in Fig. 26 corresponds to a configuration in which the number n of amplitude modulation sections 312(1) to 312(n) in the second signal generating device 310 in Fig. 22 described above is 2. Note that in Fig. 26, explanations of parts common to Fig. 22 described above will be omitted.

26 , a fourth signal generating device 330 includes a first amplitude modulation section 331 that outputs a first amplitude modulated signal (first amplitude modulated wave) s _AM1 (t) having a first frequency, a second amplitude modulation section 332 that outputs a second amplitude modulated signal (second amplitude modulated wave) s _{AM2 (t) having a second frequency different from the first frequency, and an output generating section 333. The output generating section 333 combines the amplitude modulated signal (first amplitude modulated wave) s AM1 (} t) output from the first amplitude modulation section 331 and the amplitude modulated signal (second amplitude modulated wave) s AM2 (t) output from the second amplitude modulation section ₃₃₁ to generate a frequency modulated signal (frequency modulated wave) s _FM (t) having an instantaneous amplitude change and an instantaneous frequency change.

According to the signal generating device 330 in FIG. 26, by synthesizing two amplitude-modulated waves s _AM1 (t) and s _AM2 (t), it is possible to generate a frequency-modulated wave s _FM (t) having instantaneous amplitude changes and instantaneous frequency changes in a multi-tone environment.

[Fifth signal generation device]
Fig. 27 is a block diagram showing an example of a configuration of a main part of a fifth signal generating device 340 according to an embodiment. The fifth signal generating device 340 in Fig. 27 corresponds to a configuration in which the number n of frequency modulation units 322(1) to 322(n) in the third signal generating device 320 in Fig. 24 described above is 2. Note that in Fig. 27, explanations of parts common to Fig. 24 described above will be omitted.

27, the fifth signal generating device 340 includes a first frequency modulation section 341 that outputs a first frequency modulated signal (first frequency modulated wave) s _FM1 (t) having a first amplitude, a second frequency modulation section 342 that outputs a second frequency modulated signal (second frequency modulated wave) s _FM2 (t) having a second amplitude different from the first amplitude, and an output generating section 343. The output generating section 343 synthesizes the frequency modulated signal (first frequency modulated wave) s _FM1 (t) output from the first frequency modulation section 341 and the frequency modulated signal (second frequency modulated wave) s FM2 (t) output from the second frequency modulation section ₃₄₁ , and generates an amplitude modulated and frequency modulated signal (amplitude frequency modulated wave) s _AMFM (t) having an instantaneous amplitude change and an instantaneous frequency change.

According to the signal generating device 340 in FIG. 27, by synthesizing two frequency modulated waves s _FM1 (t) and s _FM2 (t), it is possible to generate an amplitude frequency modulated wave s _AMFM (t) having instantaneous amplitude changes and instantaneous frequency changes in a multi-tone environment.

[Sixth signal generation device]
Fig. 28 is a block diagram showing an example of a configuration of a main part of a sixth signal generating device 350 according to an embodiment. The sixth signal generating device 350 in Fig. 28 corresponds to a configuration in which the number n of the amplitude modulation sections 312(1) to 312(n) in the second signal generating device 310 in Fig. 22 described above is 2, and the output generating section 313 is an IQ modulation section. Note that in Fig. 28, explanations of parts common to Fig. 22 described above will be omitted.

28, the sixth signal generating device 350 includes a first amplitude modulation section 351 that outputs a first modulated signal (first amplitude modulated wave) s _AM1 (t) having a first frequency, a second amplitude modulation section 352 that outputs a second modulated signal (second amplitude modulated wave) s _{AM2 (t) having a second frequency different from the first frequency, and an IQ modulation section 353 as an output generating section. The IQ modulation section 353 generates a frequency modulated signal (frequency modulated wave) s FM} (t) by performing IQ modulation using the amplitude modulated signal (first amplitude modulated wave) s _AM1 (t) output from the first amplitude modulation section 351 as an in-phase component signal I(t) and the amplitude modulated signal (second amplitude modulated wave) s _AM2 (t) output from the second amplitude modulation section 352 as a quadrature component signal _Q (t). This frequency modulated wave s _FM (t) is output as an output signal 354 .

According to the signal generating device 350 of FIG. 28, two amplitude-modulated waves s _AM1 (t) and s _AM2 (t) are IQ-modulated as an in-phase component and a quadrature component, respectively, to generate a frequency-modulated wave s _FM (t) having instantaneous amplitude changes and instantaneous frequency changes in a multi-tone environment.

[Seventh signal generation device]
Fig. 29 is a block diagram showing an example of a configuration of a main part of a seventh signal generating device 360 according to an embodiment. The seventh signal generating device 360 in Fig. 29 includes two sets of configurations of the sixth signal generating device 350 in Fig. 28 described above. Note that in Fig. 29, descriptions of parts common to Fig. 22 and Fig. 28 described above will be omitted.

29, the seventh signal generating device 360 includes a first frequency-modulated wave generating unit 366(1), a second frequency-modulated wave generating unit 366(2), and an output generating unit 365. The first frequency-modulated wave generating unit 366(1) includes a first amplitude modulation unit 361(1), a second amplitude modulation unit 362(1), and an IQ modulation unit 363(1) like the sixth signal generating device 350 of FIG. 28 described above, and outputs a first frequency-modulated modulated signal (frequency-modulated wave) s _FM1 (t) generated by being modulated by the IQ modulation unit 363(1) as an output signal 364(1). 28, the second frequency-modulated wave generating unit 366(2) includes a second amplitude modulation unit 361(2), a second amplitude modulation unit 362(2), and an IQ modulation unit 363(2), and outputs a second frequency-modulated modulated signal (frequency-modulated wave) _sFM2 (t) generated by modulation in the IQ modulation unit 363(2) as an output signal 364(2). The final-stage output generating unit 365 synthesizes a plurality of frequency-modulated modulated signals (frequency-modulated waves) sFM1(t), _sFM2 (t) output from a plurality of sets of the first frequency-modulated wave generating unit ₃₆₆ (1) and the second frequency-modulated wave generating unit 366(2), respectively, to generate an amplitude-modulated and frequency-modulated modulated signal _sAMFM (t) having instantaneous amplitude changes and instantaneous frequency changes.

According to the signal generating device 360 of FIG. 29, by synthesizing two frequency modulated waves s FM1 (t) and s _FM2 (t) output from two pairs of a first frequency modulated wave generating unit 366 (1) and a second frequency modulated wave generating unit 366 (2), each of which has an IQ modulation unit 363 (1) and an IQ modulation unit 363 (2), an amplitude frequency modulated wave s _AMFM (t) having instantaneous amplitude changes and instantaneous frequency changes in a multi-tone _environment can be generated.

[Eighth signal generation device]
Fig. 30 is a block diagram showing an example of a configuration of a main part of an eighth signal generating device 370 according to an embodiment. The eighth signal generating device 370 in Fig. 30 includes two sets of configurations of the sixth signal generating device 350 in Fig. 28 described above, similar to the seventh signal generating device 360 in Fig. 29. Note that in Fig. 30, descriptions of parts common to Figs. 22, 28, and 29 described above will be omitted.

30, the eighth signal generating device 370 includes a first frequency-modulated wave generating unit 377(1), a second frequency-modulated wave generating unit 377(2), and an output generating unit 376. The first frequency-modulated wave generating unit 377(1) includes a first amplitude modulation unit 371(1), a second amplitude modulation unit 372(1), an IQ modulation unit 373(1), and a power amplifier 375(1), and outputs a first frequency-modulated modulated signal (frequency-modulated wave) s _FM1 (t) generated by modulation in the IQ modulation unit 373(1) as an output signal 374(1), which is then amplified by the power amplifier 375(1). The second frequency-modulated wave generating unit 377(2) includes a second amplitude modulation unit 371(2), a second amplitude modulation unit 372(2), an IQ modulation unit 373(2), and a power amplifier 375(1), and outputs the second frequency-modulated modulated signal (frequency-modulated wave) s _FM2 (t) generated by modulation in the IQ modulation unit 373(2) as an output signal 374(2) and amplified by the power amplifier 375(1).

The final stage output generating unit 376 synthesizes multiple frequency modulated signals (frequency modulated waves) sFM1(t) and _sFM2 (t) output from the power amplifiers 375(1) and 375(2) of the multiple sets of first frequency modulated wave generating units 377(1) and second frequency modulated wave generating units ₃₇₇ (2), respectively, to generate an amplitude modulated and frequency modulated signal _sAMFM (t) having instantaneous amplitude changes and instantaneous frequency changes.

According to the signal generating device 370 of FIG. 30, by synthesizing two frequency modulated waves s FM1 (t) and s FM2 (t) output from two sets of a first frequency modulated wave generating unit 377 (1) and a second frequency modulated wave generating unit 37 (2), each of which has an IQ modulation unit 373 (1) and an IQ modulation unit ₃₇₃ (2), it is possible to generate an amplitude frequency modulated wave s _AMFM (t) (multi-tone modulated wave) having instantaneous amplitude changes and instantaneous _frequency changes in a multi-tone environment.

In particular, according to the signal generating device 370 of Fig. 30, a highly power-efficient Chireix amplifier (also called an "outphasing amplifier") is configured by power amplifiers 375(1), 375(2) to which two frequency-modulated waves _sFM1 (t) and _sFM2 (t) having an outphasing relationship are input, and an output generating unit 376 that combines the amplified frequency-modulated waves _sFM1 (t) and _sFM2 (t) output from the power amplifiers 375(1), 375(2). Therefore, an amplitude-frequency modulated wave _sAMFM (t) (multi-tone modulated wave) can be generated with high power efficiency.

As shown in circuit 400 in FIG. 31, any of the signal generating devices 300, 310, 320, 330, 340, 350, 360, and 370 described above may be incorporated as a signal generating circuit 410 to configure a modulated wave generating circuit, a power transmission circuit, a transmission circuit, a conversion circuit, an oscillation circuit, an amplification circuit, a nonlinear circuit, and the like.

[Decomposition of Amplitude Frequency Modulated Wave (AMFM Modulated Wave)]
The AMFM modulated wave of the following equation (55) generated by the signal generating circuits 340, 360, 370 in the above-mentioned Figures 27, 29 and 30 can be decomposed into any FM modulated wave.

Here, consider decomposing the AMFM modulated wave s _AMFM (t) into two FM modulated waves s _FM1 and s _FM2 (hereinafter also referred to as "FM decomposed waves") as shown in the following equation (56).

In this case, the FM modulated waves s _FM1 and s _FM2 can be expressed by the following formulas (57) and (58), respectively, where Amax=max(|A(t)|).

As shown in the above equations (57) and (58), if the two phases φ _AMFM and φ _env are known, any FM decomposition into the FM modulated waves s _FM1 and s _FM2 can be achieved.

The phase φ _env in the above equations (57) and (58) can be calculated from the following equation (60) after defining the following equation (59).

A(t) in the following equation (61) may be substituted into the above equation (59) for use.

Since A(t) is continuous in principle, the phase φ _env is also continuous. A necessary and sufficient condition for the phase φ _env is that it has continuity, so the above formula (60) holds.

In the conventional calculation method, the phase φ _AMFM in the above formula (57) and formula (58) can be calculated using any inverse trigonometric function, as shown in the following formula (62) or (63), where φ ₀ is the initial phase.

Using φ _AMFM derived from the above equation (62) or (63), the AMFM modulated wave s(t) is expressed as in the following equation (64).

However, the above formula (64) derived by the conventional calculation method has practical defects. For example, no matter which inverse trigonometric function (arcsin, arccos) is used, the phase φ _AMFM calculated by the above formula (62) or (63) generates aliasing as shown by the dashed line in FIG.

The correct FM decomposition wave to be calculated here does not have aliasing, as shown in Figure 33. However, when using the conventional calculation method described above, aliasing occurs in the calculated FM decomposition wave, as shown in Figure 34, and the correct FM decomposition wave cannot be obtained.

但し、

あるいは、

Therefore, in the embodiment of the present disclosure, in order to eliminate the above-mentioned aliasing and obtain a correct FM decomposition wave, φ′ _AMFM is defined using the following equation (65) or equation (66), and the phase φ _AMFM is calculated using the following equations (67) to (69).

however,

or,

The FM modulated waves s _FM1 and s _FM2 obtained by decomposing the AMFM modulated wave can be calculated by the following equations (70) and (71) using the above phases φ _env and φ _AMFM .

Here, if it is known that the AMFM modulated wave to be decomposed is obtained by synthesis of trigonometric functions, the phase φ _AMFM of the following equation (72) can be calculated using the instantaneous frequency change f(t) of the above equation (53). However, the initial phase φ ₀ is found from f(t) = 0 and f'(t) = 0. If phase information of the sine wave (carrier wave) before modulation is not necessary, the initial phase φ ₀ may be set to 0.

[Decomposition of Amplitude Frequency Modulated Wave (AMFM Modulated Wave) Generated by IQ Modulation]
The AMFM modulated waves (hereinafter also referred to as "IQ modulated waves" or "IQ modulated signals") generated by the signal generating circuits 340, 360, and 370 in Figures 29 and 30 described above can be decomposed into FM modulated waves as follows.

The IQ modulated signal S(t) is expressed, for example, by the following equation (73): where A _i (t) and A _q (t) are the amplitudes of the in-phase signal (I signal) and quadrature signal (Q signal) before IQ modulation, respectively.

In this case, the amplitude A(t) and frequency f _AMFM (t) of the IQ modulated signal S(t) can be expressed by the following equations (74) and (75), respectively: where ω is the frequency of the carrier wave (sine wave).

From the above formulas (74) and (75) and the above formulas (61) and (72), the phase φ _env and phase φ _AMFM can be obtained by the following formulas (76) and (77). That is, when an IQ modulated signal (amplitude frequency modulated wave) is decomposed, if the amplitude A _i (t) of the I signal and the amplitude A _q (t) of the Q signal are known, it can be decomposed into FM modulated waves s _FM1 and s _FM2 .

Regarding the above equation (77), analytical solutions of the following equations (78) and (79) can be derived.

[Decomposition of Frequency Modulation (FM) Wave]
The AM-modulated waves s _AM , s _AM obtained by decomposing the FM-modulated wave s _FM generated by the signal generating circuit 330 in Fig. 26 described above can be derived from the addition theorem as shown in the following equation (80): where A in equation (80) is a constant.

For example, if φ _FM =(φ' _FM +ω ₀ t) using an arbitrary frequency ω ₀ (≠0), the FM modulated wave s _FM can be expressed as shown in the following equation (81). In other words, an arbitrary FM modulated wave can be decomposed into multiple AM modulated waves.

[Decomposition of frequency modulated wave (FM modulated wave) generated by IQ modulation]
The FM modulated wave s _FM generated by the IQ modulation of the signal generating circuit 350 in Fig. 28 described above can be derived from the addition theorem as shown in the following equation (84) when the in-phase signal I and quadrature signal Q before modulation are respectively expressed by the following equations (82) and (83). Here, ω _carrier in equations (82) and (83) is the frequency of the carrier wave (sine wave).

[Decomposition of Amplitude Frequency Modulated Wave (AMFM Modulated Wave) Generated by IQ Modulation]
When the in-phase signals _I1 , _I2 and the quadrature signals _Q1 , _Q2 before being modulated by the IQ modulation of the signal generating circuit 360 in FIG. 29 described above are respectively expressed by the following equations (85) to (88), the _AMFM modulated wave s of an arbitrary waveform generated by the signal generating circuit 360 can be decomposed into two FM modulated waves _sFM1 , _sFM1 as shown in the following equations (89) to (94).

但し、

however,

By substituting the φ _env of the above equation (76) and the φ _AMFM of the above equation (77) or the above analytical solution equation (78) into the phase φ _env and phase φ _AMFM of the above equations (89) to (92), the two FM modulated waves s _FM1 and s _FM1 obtained by decomposing the AMFM modulated wave s _AMFM can be obtained.

For example, if the amplitudes of the in-phase signals _I1 , _I2 , which are the IQ signals used to generate the AMFM modulated wave (IQ modulated signal) to be decomposed, are denoted by _Ai (t) and the amplitudes of the quadrature signals _Q1 , _Q2 are denoted by _Aq (t), then the in-phase signals _I1 , _I2 and the quadrature signals _Q1 , _Q2 are respectively expressed by the following equations (95) to (98).

When an AMFM modulated wave (IQ modulated signal) s(t) is decomposed into two FM modulated waves _sFM1 and _sFM2 as shown in the following equation (99), the decomposed FM modulated waves _sFM1 and _sFM2 can be obtained as shown in the following equations (100) and (101).

The analytical expressions for the instantaneous frequency fluctuation characteristics in a multi-tone environment (the above-mentioned expressions (45) to (49)) can also be used in various simulations. Simulations that can use the above-mentioned analytical expressions include, for example, simulations for analyzing the behavior of waves in a nonlinear system in a multi-tone environment. Simulations that can use the above-mentioned analytical expressions include, for example, wave propagation simulations, simulations for evaluating distortion in communications using low-noise amplifiers, simulations for evaluating frequency shift phenomena caused by arranging multiple sound sources, and simulations for evaluating the received power when a modulated wave is input to a rectenna in wireless power transmission. Here, wave propagation simulations are defined as analyses of physical phenomena whose behavior is described by wave equations such as sound waves and electromagnetic waves. Examples of analyses of physical phenomena include electromagnetic field analysis, sound analysis, and light propagation analysis.

[First simulation device and method]
Fig. 35 is a block diagram showing an example of a main configuration of a first simulation device 500 according to an embodiment. The simulation device 500 in Fig. 35 is a device that performs a simulation for analyzing the behavior of waves in a nonlinear system in a multi-tone environment. In Fig. 35, the first simulation device 500 includes a storage unit 501, a single-tone wave generation unit 502, and an output generation unit 503.

The memory unit 501 stores setting data of amplitudes (A k ), multiple frequencies (f k = ω k /2π), and multiple phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k = ₁ to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves expressed by the following equation ( ₁₀₂ ):

The single-tone wave generating section 502 generates a plurality of amplitude-modulated single-tone waves by applying the plurality of amplitudes (A _k ), the plurality of frequencies (f _k =ω _k /2π) and the plurality of phases (φ _k ), respectively.

The output generating unit 503 combines the multiple single tone waves generated by the single tone wave generating unit 502 to generate an output signal s(t) (multi-tone modulated wave) of the following equation (103) having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t).

In the above equation (103), for example, the instantaneous amplitude change A(t) is expressed as a time function of the following equation (104), the instantaneous frequency change f(t) is expressed as a time function of the following equation (105), and the output signal s(t) is expressed as a time function of the following equation (106).

Fig. 36 is a flowchart showing an example of a simulation in the first simulation device 500 according to the embodiment. In the first simulation method S130 in Fig. 36, first, a plurality of constants or time-varying variables, namely, amplitudes (A _k ), a plurality of frequencies (f k = ω k /2π), and a plurality of phases (φ _k ) to be applied to a plurality (k = ₁ to n) (n is an integer of 2 or more) of amplitude-modulated single-tone waves expressed by the above formula ( ₁₀₂ ), are set, and the set data is stored in the storage unit 501 (S131).

Here, the multiple frequencies ( _fk = _ωk /2π) may be the same frequency, or some or all of the multiple frequencies ( _fk = _ωk /2π) may be multiple frequencies different from each other. Furthermore, the multiple amplitudes ( _Ak ), multiple frequencies ( _fk = _ωk /2π) and multiple phases ( _φk ) may be set by an operator or user of the present device 500 via a user interface, an operation unit, remote control, or the like, or may be automatically set by the present device 500 based on various conditions.

Next, the single-tone wave generating unit 502 reads setting data of multiple amplitudes (A _k ), multiple frequencies (f _k = ω _k /2π) and multiple phases (φ _k ) from the storage unit 501, and generates multiple (k = 1 to n) amplitude-modulated single-tone waves A _k (t) sin(ω _k t + φ _k ) by applying the setting data (S132).

Next, the output generating unit 503 synthesizes the multiple single-tone waves A _k (t) sin(ω _k t+φ _k ) generated by the single-tone wave generating unit ₅₀₂ to generate an output signal s(t) (multi-tone modulated wave) of the above equation (103) or equation (106) corresponding to a wave having an initial phase φ 0 , instantaneous amplitude change A(t) and instantaneous frequency change f(t) (S133).

According to the simulation device 500 and simulation method S130 in Figures 35 and 36, it is possible to output an output signal s(t) corresponding to a wave having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) in a multi-tone environment based on the proposed equations (102) to (106) above, thereby making it possible to perform various simulations of physical phenomena having instantaneous frequency fluctuation characteristics in a multi-tone environment.

When performing the wave propagation simulation described above, the analytical formula for the instantaneous frequency fluctuation characteristics in the multi-tone environment described above can be used in conjunction with other analytical methods for wave phenomena. Examples of other analytical methods that can be used in conjunction with the formula include the OFDM (orthogonal frequency division multiplexing) method, the finite element method, the momentum method, and the ray tracing method.

In the embodiment of the present disclosure, a link between the analytical formula of the instantaneous frequency fluctuation characteristic and the ray tracing method will be described. The ray tracing method is a method of calculating a propagation path by regarding an electromagnetic wave (radio wave) as light (ray) based on a geometrical optics approximation. In the ray tracing method, an electromagnetic wave of a transmission signal sk transmitted from a plurality of transmitting stations (wave sources) k located at a plurality of transmitting points propagates, and the strength s(x, t) of a received signal that arrives at a receiving point located at a certain coordinate (x) at time t and is received is expressed by the following formula (107) for each transmitting station (wave source). In the formula, a _k is a constant set for each wave source.

The time change in the strength s(x, t) of the received signal of the electromagnetic wave arriving at the receiving point can be output as an arrival profile, for example, as shown in FIG. 37.

[Second simulation device and method]
FIG. 38 is a block diagram showing an example of a main configuration of a second simulation device 510 according to an embodiment. The simulation device 510 in FIG. 38 is a device that performs a simulation for analyzing the behavior of waves in a nonlinear system in a multi-tone environment. Here, the nonlinear system in the multi-tone environment includes a space (e.g., an n-dimensional analysis space) having a plurality of wave sources (k=1 to n) (n is an integer of 2 or more) that emit waves such as electromagnetic waves and sound waves. In particular, the second simulation device 510 is an example of a simulation device that uses an analytical expression of the instantaneous frequency fluctuation characteristic and a ray tracing method in cooperation with each other.

In FIG. 38, the second simulation device 510 includes a memory unit 511, a single-tone wave generating unit 512, an output generating unit 513, a mesh dividing unit 514, and a reach profile output unit 515.

The memory unit 511 stores setting data for amplitudes (A k ), multiple frequencies (f k = ω k /2π), and multiple phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k = ₁ to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves expressed by the following equation ( ₁₀₈ ):

Furthermore, the storage unit 511 stores setting data for each of a plurality of (k=1 to n) (n is an integer of 2 or more) wave sources k (wave source 1 to wave source n) in the target space, the position of the wave source k in the space, modulation information of the wave s _k (t) emitted by the wave source k, and setting data for the propagation characteristics of the wave in the space (which may include the material of the medium).

The single-tone wave generating unit 512 generates a plurality of amplitude-modulated single-tone waves by applying the plurality of amplitudes (A _k ), the plurality of frequencies (f _k = ω _k /2π) and the plurality of phases (φ _k ) emitted by each wave source based on the setting data of the modulation information, etc.

The output generating unit 513 synthesizes multiple single-tone waves emitted by multiple wave sources generated by the single-tone wave generating unit 512 for each mesh described below, and generates an output signal s(t) (multi-tone modulated wave) of the following equation (109) corresponding to a wave having an initial phase φ ₀ , instantaneous amplitude change A(t), and instantaneous frequency change f(t).

In the above equation (109), for example, the instantaneous amplitude change A(t) is expressed as a time function of the following equation (110), the instantaneous frequency change f(t) is expressed as a time function of the following equation (111), and the output signal s(t) is expressed as a time function of the following equation (112).

The mesh division unit 514 performs the process of dividing the target space into multiple meshes.

The arrival profile output unit 515 outputs, for each of the plurality of meshes, an arrival profile of the following equation (113) including the amplitudes, frequencies and time changes of the multiple waves (k=1 to n) arrived by waves s _k (t) from multiple wave sources k, based on the output signal s(t) from the output generation unit 513 and setting data of the wave propagation characteristics in the space.

The second simulation device 510 may include a simulation result calculation unit 516 that calculates the results of various simulations based on the arrival profile for each mesh. Here, the simulations are, for example, a simulation to evaluate distortion in communication using a low-noise amplifier, a simulation to evaluate a frequency shift phenomenon caused by arranging multiple sound sources, or a simulation to evaluate the received power when a modulated wave is input to a rectenna in wireless power transmission.

Figure 39 is a flowchart showing an example of a simulation in the second simulation device 510 according to the embodiment. In the second simulation method S140 in Figure 39, first, the mesh division unit 514 divides the target space into a plurality of meshes of a predetermined size and shape (S141). The size and shape of the meshes may be set according to the content of the simulation.

Next, for each of a plurality of (k=1 to n) (n is an integer of 2 or more) wave sources k (wave source 1 to wave source n) in the target space, setting data for the position of wave source k in the space, modulation information for wave s _k (t) emitted by wave source k, and propagation characteristics of the wave in the space (which may include the material of the medium) are set, and the setting data are stored in memory unit 511 (S142).

Furthermore, a plurality of constants or time-varying variables, namely amplitudes (A k ), a plurality of frequencies (f k = ω _k /2π) and a plurality of phases (φ _k ) to be applied to a plurality ( _k = 1 to n) (n is an integer of 2 or more) of amplitude-modulated single-tone waves expressed by the above formula ( ₁₁₂ ), are set, and the setting data is stored in memory unit 511 (S143).

Here, the multiple frequencies ( _fk = _ωk /2π) may be the same frequency, or some or all of the multiple frequencies ( _fk = _ωk /2π) may be multiple frequencies different from each other. In addition, the size and shape of the mesh, the modulation conditions, the wave propagation characteristics, the multiple amplitudes ( _Ak ), the multiple frequencies ( _fk = _ωk /2π) and the multiple phases ( _φk ) may be set by an operator or user of the present device 510 via a user interface, an operation unit, remote control, or the like, or may be automatically set by the present device 510 based on various conditions.

Next, the single-tone wave generating unit 512 reads out setting data for modulation conditions, multiple amplitudes (A _k ), multiple frequencies (f _k = ω _k /2π) and multiple phases (φ _k ) from the memory unit 511, and generates multiple (k = 1 to n) amplitude-modulated single-tone waves A _k (t) sin(ω _k t + φ _k ) by applying the setting data (S144).

Next, the output generating unit 513 synthesizes the multiple single-tone waves A _k (t) sin(ω _k t+φ _k ) generated by the single-tone wave generating unit ₅₁₂ to generate an output signal s(t) (multi-tone modulated wave) of the above equation (109) or equation (112) corresponding to a wave having an initial phase φ 0 , instantaneous amplitude change A(t) and instantaneous frequency change f(t) (S143).

Next, based on the output signal s(t) from the output generating unit 513 and setting data on the propagation characteristics of the waves in the space, the arrival profile output unit 515 outputs for each of the plurality of meshes an arrival profile of the above formula (113) including the amplitudes, frequencies and time changes of the multiple waves (k=1 to n) arrived by the waves s _k (t) from the multiple wave sources k (S416).

Furthermore, as an optional process, the simulation result calculation unit 516 may calculate the results of various simulations, such as the aforementioned evaluation of communication distortion, evaluation of the frequency shift phenomenon, and evaluation of received power, based on the arrival profile for each mesh (S147).

38 and 39, based on the proposed equations (108) to (112) above, it is possible to output an output signal s(t) corresponding to a wave having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) in the space of a multi-tone environment, and to output an arrival profile of the wave for each mesh. This makes it possible to perform various simulations of physical phenomena related to wave propagation having instantaneous frequency fluctuation characteristics in a multi-tone environment.

In particular, according to the simulation device 510 and the simulation method S140 according to the embodiment of the present disclosure, it is possible to calculate the instantaneous amplitude and instantaneous frequency at any position in the target space. In addition, since the reach profile for each mesh output from the reach profile output unit 515 can be reused, it is possible to consider various use cases. In addition, the reach profile output for each mesh based on the output signal s(t) of the above formula (109) or formula (112) corresponding to a wave having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) is useful for analyzing a phenomenon in which instantaneous characteristics are important.

[Third simulation device and method]
Fig. 40 is a block diagram showing an example of a main configuration of a third simulation device 520 according to an embodiment. The simulation device 520 in Fig. 40 is a device that performs a simulation for analyzing a circuit having nonlinear characteristics in a multi-tone environment (hereinafter also referred to as a "nonlinear circuit"). In Fig. 40, the third simulation device 520 includes a storage unit 521, a single-tone wave generation unit 522, an output generation unit 523, an input unit 524, and a circuit characteristic calculation unit 525. Note that the storage unit 521, the single-tone wave generation unit 522, and the output generation unit 523 in Fig. 40 have the same configurations and operations as the storage unit 501, the single-tone wave generation unit 502, and the output generation unit 503 in Fig. 35 described above, and therefore description thereof will be omitted.

The input section 524 inputs an input signal s(t) of the following equation (114) having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) to a modeled circuit to be analyzed having nonlinear characteristics.

The circuit characteristic calculation unit 525 calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit.

Figure 41 is a flowchart showing an example of a simulation in the third simulation device 520 according to the embodiment. Note that steps S151 to S153 of the first simulation method S150 in Figure 41 are similar to steps S131 to S133 in Figure 36 described above, and therefore will not be described here.

In the third simulation method S150 of FIG. 41, after the output generation unit 523 generates an output signal s(t) (S151 to S153), the input unit 524 inputs an input signal s(t) having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) of the above equation (114) into a modeled circuit to be analyzed having nonlinear characteristics (S154).

Next, the circuit characteristic calculation unit 525 calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit (S155).

According to the simulation device 520 and simulation method S150 of Figures 39 and 40, it is possible to output an output signal s(t) corresponding to a wave having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) in a multi-tone environment based on the above proposed equation, thereby making it possible to perform various simulations of physical phenomena having instantaneous frequency fluctuation characteristics in a multi-tone environment.

Here, the circuit to be analyzed may be a high-frequency conversion circuit, and the characteristics of the circuit may be conversion characteristics that indicate the relationship between the input and output of the circuit. For example, if the conversion circuit 820 in FIG. 19 described above is a high-frequency conversion circuit, an arbitrary input signal s(t) of the above formula (114) generated by synthesizing a plurality of amplitude-modulated single tone waves is input to the high-frequency conversion circuit 820, and the characteristics of the high-frequency conversion circuit 820 can be calculated based on the signal output from the high-frequency conversion circuit 820. In particular, even if the high-frequency conversion circuit 820 is a nonlinear circuit having nonlinear characteristics in which the input/output relationship is nonlinear, the output g(A(t), f(t)), which is a function of the instantaneous amplitude change A(t) and instantaneous frequency change f(t) of the nonlinear circuit, can be calculated, and nonlinear circuit operation analysis becomes possible.

The circuit to be analyzed may be a rectifier circuit constituting a rectenna of a power receiving device for wireless power transmission, and the characteristic of the circuit may be the efficiency η of the circuit in a steady state. For example, when an arbitrary input signal s(t) of the above formula (114) generated by synthesizing a plurality of amplitude-modulated single tone waves is input to the rectifier circuit, the power density distribution PPD(p,f) of the input signal s(t), which is a modulated wave, with respect to the power p and frequency f can be calculated. Using the power density distribution PPD(p,f) of the rectifier circuit and continuous wave characteristics (efficiency η _CW (p,f,ν) when a continuous wave is input with average power p and frequency f when the output voltage is ν), the efficiency η _mod when a modulated wave is input, as shown in the following formula (115), can be calculated, and the steady state analysis of the rectifier circuit is possible.

The circuit to be analyzed may be an amplifier circuit, and the characteristics of the circuit may be the output waveform and efficiency of the amplifier circuit. For example, the output waveform and efficiency when a modulated wave is input can be calculated by combining with the characteristics of the amplifier circuit when a continuous wave is input. Here, when a signal s _in input to the amplifier circuit is a modulated wave shown in the following formula (116), the waveform of the output signal s _out can be calculated by the following formula (117). However, G in the following formula (117) is the gain of the amplifier circuit, which depends on the amplitude and frequency of the input signal.

In addition, by using the signal s _in generated based on the above-mentioned proposed formula, it is possible to calculate the instantaneous characteristics of various multi-tone interference waves in an amplifier circuit (amplifier). In addition, since input/output characteristics can be obtained for various cases, it is possible to perform inverse correction using machine learning or optimization as described below. For example, it is possible to perform inverse correction of the input of an amplifier circuit (amplifier) using machine learning or optimization.

[Measurement device and method]
Fig. 42 is a block diagram showing an example of a main configuration of a measurement device 600 according to an embodiment. The measurement device 600 in Fig. 42 is a device for measuring a circuit having a nonlinear characteristic in a multi-tone environment (hereinafter also referred to as a "nonlinear circuit"). In Fig. 42, the measurement device 600 includes a storage unit 601, a single-tone wave generation unit 602, an output generation unit 603, an input unit 604, an output measurement unit 605, and a circuit characteristic calculation unit 606. Note that the storage unit 601, the single-tone wave generation unit 602, and the output generation unit 603 in Fig. 42 have the same configurations and operations as the storage unit 501, the single-tone wave generation unit 502, and the output generation unit 503 in Fig. 35 described above, and therefore description thereof will be omitted.

An input section 604 inputs an input signal s(t) of the following equation (118) having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) to the actual circuit under test.

The output measurement unit 605 measures the signal output from the circuit to which the input signal s(t) is input.

The circuit characteristic calculation unit 606 calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit.

Figure 43 is a flowchart showing an example of measurement in the measurement device 600 according to the embodiment. Note that steps S161 to S163 of the measurement method S160 in Figure 43 are similar to steps S131 to S133 in Figure 36 described above, and therefore will not be described here.

In the measurement method S160 of Figure 43, after the output generation unit 603 generates an output signal s(t) (S151 to S153), the input unit 604 inputs an input signal s(t) having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) of the above equation (118) to the nonlinear circuit to be measured having nonlinear characteristics (S164).

Next, the signal output from the circuit is measured by the output measurement unit 605 (S165).

Next, the circuit characteristic calculation unit 607 calculates the characteristics of the circuit, which are functions of the instantaneous amplitude change A(t) and the instantaneous frequency change f(t), based on the signal output from the circuit (S165).

According to the measuring apparatus 600 and measuring method S160 of Figures 42 and 43, a multi-tone modulated signal s(t) having an initial phase φ ₀ in a multi-tone environment, an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) in a multi-tone environment is generated based on the above proposed equation, and input to the nonlinear circuit to be measured, and the characteristics of the nonlinear circuit can be calculated based on the signal output from that circuit.

Here, the circuit to be measured may be a high-frequency conversion circuit, and the characteristic of the circuit may be a conversion characteristic indicating the relationship between the input and output of the circuit. For example, an arbitrary multi-tone modulated signal s(t) of the above formula (119) generated by synthesizing a plurality of amplitude-modulated single-tone waves is input to a high-frequency amplifier (amplification circuit) 830 shown in FIG. 44, and the characteristics of the amplifier (amplification circuit) 830 (e.g., output waveform, efficiency, instantaneous characteristics of multi-tone interference waves, etc.) can be calculated based on the signal output from the amplifier (amplification circuit) 830, making it possible to perform nonlinear circuit operation analysis.

The circuit to be measured may be a rectifier circuit constituting a rectenna of a wireless power transmission receiving device, and the characteristic of the circuit may be the efficiency characteristic of the rectifier circuit (e.g., efficiency η in a steady state).

[Machine learning device and method]
45 is a block diagram showing an example of a configuration of a main part of a machine learning device 700 according to an embodiment. The machine learning device 700 is a device that generates a trained model that can be used to analyze circuit characteristics. In FIG. 45, the machine learning device 700 includes a data storage unit 701, a learning unit 702, and a model generation unit 703.

The data storage unit 701 calculates the output signal from the circuit when a plurality of input signals s(t) having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) of the following equation (119) are input to the circuit, and stores data on multiple sets of input/output characteristics showing the relationship between the plurality of input signals s(t) and the output signal.

The learning unit 702 performs machine learning using the data on the multiple sets of input/output characteristics as training data.

The model generation unit 703 generates a trained model of the characteristics of the circuit based on the results of the machine learning by the learning unit 702.

The trained model is, for example, a machine-learned model generated by machine learning using multiple sets of training data (supervised learning data) for one or multiple circuits, each set consisting of data on the input signal to the circuit, data on the output signal from the circuit, and data on the characteristics of the circuit (supervised data). When data on the output signal of the circuit and data on the desired characteristics of the circuit are input as data on the explanatory variables, for example, this trained model outputs data on the optimal input signal as data on the objective variable.

The algorithm used in the trained model of this embodiment is not limited to a specific algorithm. For example, as an algorithm of the machine-learned model that learns using training data (supervised learning data), SVR (Support Vector Regression), which is classified as "Regression" that learns numerical data and predicts numerical values, can be used. Instead of this SVR, Linear (Ordinary) Regression, Bayesian Linear Regression, Random (Decision) Forest, Boosted decision tree, Fast forest quantile, Neural network, Poisson Regression, Support Vector Ordinal Regression, Ridge Regression, Lasso Regression, etc. may be used.

Figure 46 is a flowchart showing an example of machine learning in the machine learning device 700 according to the embodiment. Note that steps S171 to S173 of the machine learning method S170 in Figure 46 are similar to steps S131 to S133 in Figure 36 described above, and therefore will not be described here.

In the machine learning method S170 of Fig. 46, an input signal s(t) of the above formula (119) having an initial phase φ ₀ , an instantaneous amplitude change A(t), and an instantaneous frequency change f(t) is input to a target circuit for machine learning in a pseudo manner (S174), and an output signal from the target circuit is calculated (S175). Data on the input signal s(t), output signal, and input/output characteristics of the target circuit are stored in the data storage unit 701 as a set of training data (supervised learning data). The data storage unit 701 stores multiple sets of data on the input signal s(t), output signal, and input/output characteristics obtained for one or more target circuits (S176).

Next, the learning unit 702 performs machine learning using the data of multiple sets of input signals, output signals, and input/output characteristics stored in the data storage unit 701, and the model generation unit 703 generates a trained model of a specified algorithm (S177).

Here, the target circuit of the machine learning may be a high-frequency conversion circuit, and the characteristic of the circuit may be a conversion characteristic that indicates the relationship between the input and output of the circuit. The target circuit of the machine learning may be a rectifier circuit that constitutes a rectenna of a power receiving device for wireless power transmission, and the characteristic of the circuit may be an efficiency characteristic of the rectifier circuit (e.g., efficiency η in a steady state). The target circuit of the machine learning may be an amplifier circuit, and the characteristic of the circuit may be the output waveform and efficiency of the amplifier circuit.

[Demodulation device]
Fig. 47 is a block diagram showing an example of a main configuration of a demodulation device 710 according to an embodiment. The demodulation device 710 is a device that performs demodulation to restore an input signal of a circuit. In Fig. 47, the demodulation device 710 includes a storage unit 711, an output measurement unit 712, a demodulation unit 713, and a demodulation result output unit 714.

The memory unit 711 stores a trained model generated by any of the machine learning devices or methods described above.

The output measurement unit 712 measures the output of the target circuit.

The demodulation unit 713 uses the trained model to generate a signal that restores the input signal of the target circuit based on the measurement results of the output signal of the circuit.

The demodulation result output unit 714 outputs the input signal to the circuit that was restored and generated by the demodulation unit 713.

[Optimization device]
Fig. 48 is a block diagram showing an example of a main configuration of an optimization device 720 according to an embodiment. The optimization device 720 is a device that optimizes a target circuit. In Fig. 48, the optimization device 720 includes a storage unit 721, a condition setting unit 722, an optimization processing unit 723, an optimization result output unit 724, and an inverse correction unit 725.

The memory unit 721 stores a trained model generated by any of the machine learning devices or methods described above.

The condition setting unit 722 sets the conditions that are the premise for optimizing the target circuit.

The optimization processing unit 723 uses the trained model to correct and optimize at least one of the characteristics and parameters of the target circuit under the conditions.

The optimization result output unit 724 outputs at least one of the characteristics and parameters of the circuit optimized by the optimization processing unit 723.

The inverse correction unit 725 corrects the input signal to be input to the circuit based on at least one of the characteristics and parameters of the circuit optimized by the optimization processing unit 723.

As described above, according to the embodiment of the present disclosure, it is possible to generate any multi-tone modulated wave in a multi-tone environment, and it becomes possible to analyze, reproduce, and utilize the instantaneous frequency fluctuation characteristics in a multi-tone environment.

In addition, the devices, methods, systems, circuits, programs, etc. disclosed herein can be useful, for example, in system design for wireless power transmission, increasing the efficiency of wireless power transmission, evaluating the impact of multi-tone interference in wireless communications, and improving the quality of wireless communications, and can therefore contribute to achieving Goal 9 of the Sustainable Development Goals (SDGs), which is to "build resilient infrastructure, promote inclusive and sustainable industrialization, and promote innovation and promote resilience."

The processing steps described in this specification, as well as the devices and methods for generating signals, devices for demodulating signals, measuring devices, simulation devices, devices for analyzing circuits, transmitting devices, communication systems, power transmitting devices, wireless power transmission systems, and circuit components, can be implemented by various means. For example, these steps and components may be implemented by hardware, firmware, software, or a combination thereof.

For hardware implementation, the processing units and other means used to realize the above steps and components in an entity (e.g., various wireless communication devices, Node B, terminals, hard disk drive devices, or optical disk drive devices) may be implemented in one or more application specific integrated circuits (ASICs), digital signal processors (DSPs), digital signal processors (DSPDs), programmable logic devices (PLDs), field programmable gate arrays (FPGAs), processors, controllers, microcontrollers, microprocessors, electronic devices, other electronic units designed to perform the functions described herein, computers, or combinations thereof.

Also, for firmware and/or software implementations, the means such as processing units used to realize the above components may be implemented with programs (e.g., codes such as procedures, functions, modules, instructions, etc.) that perform the functions described herein. In general, any computer/processor readable medium tangibly embodying firmware and/or software codes may be used to implement the means such as processing units used to realize the above steps and components described herein. For example, the firmware and/or software codes may be stored in a memory and executed by a computer or processor, for example in a control device. The memory may be implemented inside the computer or processor or external to the processor. The firmware and/or software code may also be stored in a computer or processor readable medium, such as, for example, random access memory (RAM), read-only memory (ROM), non-volatile random access memory (NVRAM), programmable read-only memory (PROM), electrically erasable programmable read-only memory (EEPROM), flash memory, floppy disk, compact disk (CD), digital versatile disk (DVD), magnetic or optical data storage device, etc. The code may be executed by one or more computers or processors and may cause the computers or processors to perform certain aspects of the functionality described herein.

The medium may be a non-transitory recording medium. The program code may be in any format as long as it can be read and executed by a computer, processor, or other device or machine, and the format is not limited to a specific format. For example, the program code may be any of source code, object code, and binary code, or may be a mixture of two or more of these codes.

Moreover, the description of the embodiments disclosed herein is provided to enable any person skilled in the art to make or use the present disclosure. Various modifications to the present disclosure will be readily apparent to those skilled in the art, and the general principles defined herein may be applied to other variations without departing from the spirit or scope of the present disclosure. Thus, the present disclosure is not intended to be limited to the examples and designs described herein, but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

1: Wave source 100: WPT system 110: Power transmitting device 111: Power transmitting antenna 112: Oscillator 113: Modulator 114: Amplifier 120: Power receiving device 121: Power receiving antenna 121a: Antenna element 122: Rectifier 200: Communication system 210: Transmitting device 210: Base station 220: Receiving device 220: Terminal device 300: First signal generating device 301: Memory unit 302: Single tone wave generating unit 303: Output signal generating unit 310: Second signal generating device 311: Memory unit 312: Amplitude modulation unit 313: Output generating unit 320: Third signal generating device 321: Memory unit 322: Frequency modulation unit 323: Output generating unit 330: Fourth signal generating device 331: First amplitude modulation unit 332 : second amplitude modulation section 333 : output generation section 340 : fifth signal generation device 341 : first frequency modulation section 342 : second frequency modulation section 343 : output generation section 350 : sixth signal generation device 351 : first amplitude modulation section 352 : second amplitude modulation section 353 : IQ modulation section 354 : output signal 360 : seventh signal generation device 361(1) : first amplitude modulation section 361(2) : second amplitude modulation section 362(1) : first amplitude modulation section 362(2) : second amplitude modulation section 363(1) : IQ modulation sections 364(1), 364(2) : output signal 366(1) : first frequency modulated wave generation section 366(2) : second frequency modulated wave generation section 370 : eighth signal generation device 371(1) : first amplitude modulation unit 371(2) : second amplitude modulation unit 372 : second amplitude modulation unit 373 : IQ modulation unit 374 : output signal 375 : power amplifier 376 : output generation unit 377(1) : first frequency modulated wave generation unit 377(2) : second frequency modulated wave generation unit 400 : circuit 410 : signal generation circuit 500 : first simulation device 501 : memory unit 502 : single tone wave generation unit 503 : output generation unit 510 : second simulation device 511 : memory unit 512 : single tone wave generation unit 513 : output generation unit 514 : mesh division unit 515 : achievement profile output unit 516 : simulation result calculation unit 520 : third simulation device 521 : memory unit 522 : single tone wave generation unit 523 : output generation unit 524 : input unit 525 : Circuit characteristic calculation section 600 : Measurement device 601 : Memory section 602 : Single tone wave generation section 603 : Output generation section 604 : Input section 605 : Output measurement section 606 : Circuit characteristic calculation section 607 : Circuit characteristic calculation section 610 : Conversion circuit 620 : Conversion circuit 700 : Machine learning device 701 : Data storage section 702 : Learning section 703 : Model generation section 710 : Demodulation device 711 : Memory section 712 : Output measurement section 713 : Demodulation section 714 : Demodulation result output section 720 : Optimization device 721 : Memory section 722 : Condition setting section 723 : Optimization processing section 724 : Optimization result output section 725 : Inverse correction section

Claims (11)

1. An apparatus for generating a signal, comprising:
a storage unit for storing setting data of amplitudes (A k ), multiple frequencies (f k =ω k /2π) and multiple phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k = ₁ to n) (n is an integer of 2 or more) amplitude-modulated single-tone waves expressed by the following formula ( ₁ );
a single-tone wave generating unit that generates a plurality of amplitude-modulated single-tone waves by applying the plurality of amplitudes (A _k ), the plurality of frequencies (f _k =ω _k /2π) and the plurality of phases ( _φ k );
an output generating unit that synthesizes the plurality of single tone waves to generate an output signal s(t) having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) as expressed by the following equation (2);
Equipped with
The instantaneous amplitude change A(t) is expressed as a time function of the following equation (3):
The instantaneous frequency change f(t) is expressed as a time function of the following equation (4):
The output signal s(t) is expressed as a time function by the following equation (5):
An apparatus comprising:

A wireless communication transmitting device,
a modulation processor for generating a modulated signal having an instantaneous amplitude change and an instantaneous frequency change;
a power amplifier for amplifying the modulated signal;
The modulation processing unit includes the device according to claim 1.
A transmitting device comprising: A wireless communication system, comprising:
A transmitting device according to claim 2;
a transmitting antenna connected to the transmitting device;
a receiving antenna for receiving a transmission signal transmitted from the transmitting device via the transmitting antenna;
a receiving device connected to the receiving antenna;
A communication system comprising: A wireless power transmission device,
a modulation processor for generating a modulated signal having an instantaneous amplitude change and an instantaneous frequency change;
a power amplifier for amplifying the modulated signal;
The modulation processing unit includes the device according to claim 1.
The power transmission device is characterized by the above. A wireless power transmission system,
The power transmitting device according to claim 4;
A power transmitting antenna connected to the power transmitting device;
a power receiving antenna for receiving a transmission signal for wireless power transmission transmitted from the power transmitting device via the power transmitting antenna;
a power receiving device connected to the power receiving antenna;
A wireless power transmission system comprising: 1. A circuit comprising:
a storage unit for storing setting data of amplitudes (A k ), multiple frequencies (f k =ω k /2π), and multiple phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k = _{1 to} n) (n is an integer of 2 or more) amplitude-modulated single-tone waves expressed by the following formula ( ₆ );
a single-tone wave generating unit that generates a plurality of amplitude-modulated single-tone waves by applying the plurality of amplitudes (A _k ), the plurality of frequencies (f _k =ω _k /2π) and the plurality of phases ( _φ k );
an output generating unit that synthesizes the plurality of single tone waves to generate an output signal s(t) having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) as expressed by the following equation (7);
Equipped with
The instantaneous amplitude change A(t) is expressed as a time function of the following equation (8):
The instantaneous frequency change f(t) is expressed as a time function of the following equation (9):
The output signal s(t) is expressed as a time function by the following equation (10):
16. A circuit comprising:

An amplifier circuit having the circuit of claim 6. 1. A method for generating a signal, comprising:
storing setting data of amplitudes (A k ), frequencies (f k =ω k /2π), and phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k =1 to n) (n is an integer of ₂ or more) amplitude-modulated single-tone waves expressed by the following formula ( ₁₁ );
generating a plurality of amplitude-modulated single-tone waves by applying the plurality of amplitudes (A _k ), the plurality of frequencies (f _k =ω _k /2π) and the plurality of phases (φ _k );
synthesizing the plurality of single-tone waves to generate an output signal s(t) having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t) expressed by the following equation (12);
Including,
The instantaneous amplitude change A(t) is expressed as a time function of the following equation (13):
The instantaneous frequency change f(t) is expressed as a time function of the following equation (14):
The output signal s(t) is expressed as a time function by the following equation (15):
A method comprising:

A program for causing a computer or processor to function as the device of claim 1. An apparatus for performing a simulation to analyze wave behavior in a nonlinear system in a multi-tone environment, comprising:
a storage unit for storing setting data of amplitudes (A k ), multiple frequencies (f k =ω k /2π), and multiple phases (φ _k ), which are multiple constants or time-varying variables to be applied to multiple ( _k = _{1 to} n) (n is an integer of 2 or more) amplitude-modulated single-tone waves expressed by the following formula ( ₁₆ );
a single-tone wave generating unit that generates a plurality of amplitude-modulated single-tone waves by applying the plurality of amplitudes (A _k ), the plurality of frequencies (f _k =ω _k /2π) and the plurality of phases ( _φ k );
an output generating unit that synthesizes the plurality of single-tone waves and generates an output signal s(t) of the following equation (17) that corresponds to a wave having an initial phase φ ₀ , an instantaneous amplitude change A(t) and an instantaneous frequency change f(t);
Equipped with
The instantaneous amplitude change A(t) is expressed as a time function of the following equation (18):
The instantaneous frequency change f(t) is expressed as a time function of the following equation (19):
The output signal s(t) is expressed as a time function by the following equation (20):
An apparatus comprising:

A program for causing a computer or processor to function as the device of claim 10.

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