CN112350755B - Equivalent circuit, analysis method and system of dual-beam power amplifier behavior model - Google Patents

Equivalent circuit, analysis method and system of dual-beam power amplifier behavior model Download PDF

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CN112350755B
CN112350755B CN202011235620.5A CN202011235620A CN112350755B CN 112350755 B CN112350755 B CN 112350755B CN 202011235620 A CN202011235620 A CN 202011235620A CN 112350755 B CN112350755 B CN 112350755B
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crosstalk
coupler
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CN112350755A (en
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谷林海
王艳峰
罗金玲
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China Star Network Application Co Ltd
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Dongfanghong Satellite Mobile Communication Co Ltd
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B17/00Monitoring; Testing
    • H04B17/0082Monitoring; Testing using service channels; using auxiliary channels
    • H04B17/0085Monitoring; Testing using service channels; using auxiliary channels using test signal generators
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B17/00Monitoring; Testing
    • H04B17/0082Monitoring; Testing using service channels; using auxiliary channels
    • H04B17/0087Monitoring; Testing using service channels; using auxiliary channels using auxiliary channels or channel simulators
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B17/00Monitoring; Testing
    • H04B17/30Monitoring; Testing of propagation channels
    • H04B17/391Modelling the propagation channel
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0408Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas using two or more beams, i.e. beam diversity
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413MIMO systems
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/14Relay systems
    • H04B7/15Active relay systems
    • H04B7/185Space-based or airborne stations; Stations for satellite systems
    • H04B7/1851Systems using a satellite or space-based relay

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Abstract

The invention discloses an equivalent circuit, an analysis method and a system of a dual-beam power amplifier behavior model. The equivalent circuit comprises a nonlinear crosstalk coupler, a first synthesis filter, a second synthesis filter and a linear crosstalk coupler; the first output end of the nonlinear crosstalk coupler is connected with the input end of the first synthesis filter, the output end of the first synthesis filter is connected with the first input end of the linear crosstalk coupler, the second output end of the nonlinear crosstalk coupler is connected with the input end of the second synthesis filter, and the output end of the second synthesis filter is connected with the second input end of the linear crosstalk coupler. The equivalent circuit comprises a nonlinear crosstalk coupler, a linear crosstalk coupler and a comprehensive filter for representing memory effect and nonlinearity, is low in complexity and convenient to apply in practical engineering, provides theoretical reference and technical support for further researching 5G large-scale MIMO and low-orbit satellite communication multi-beam antenna technology, and facilitates linear and nonlinear crosstalk compensation.

Description

Equivalent circuit, analysis method and system of dual-beam power amplifier behavior model
Technical Field
The invention relates to the technical field of power amplifier behavior analysis, in particular to an equivalent circuit of a dual-beam power amplifier behavior model, an analysis method and a system.
Background
The air-ground-sea integrated information network is mainly based on a space-based network and is based on a ground network, and can support various information networks which are accessed randomly and serve as required by various users on land, sea, air and sky. As a strategic national information infrastructure, the air, space, ground and sea integrated information network plays an important role in maintaining national benefits and promoting economic development.
The low-earth-orbit satellite communication is an important part for constructing an air-space-earth-sea integrated global seamless network and needs to have the capacity of high-speed data transmission. Due to the limited spectrum resources of satellite communication, the conventional satellite communication technology has difficulty in meeting the requirements of people on communication capacity and efficiency. In order to improve the system throughput as much as possible in a limited spectrum resource range, the two-beam equal multi-beam antenna technology utilizes two or more high-gain spot beams to simultaneously provide communication services for a plurality of users on the ground, and compared with a single-beam antenna, the two-beam equal multi-beam antenna technology has higher system capacity gain and can simultaneously utilize the limited spectrum resource to a greater extent.
However, in the transceiving end of the transmitter system with two or more beams of the low earth orbit satellite, two or more transmitting channels or receiving channels are integrated on the same circuit board, so that linear crosstalk and nonlinear crosstalk generated between the transmitting channels or the receiving channels are difficult to avoid, and especially the nonlinear crosstalk occurs before power amplification, signals pass through the power amplifier, and the power amplifier is a nonlinear device, so that the system performance is reduced sharply. In the prior art, for a single-path power amplifier, the distortion caused by the nonlinearity and the memory effect of the power amplifier can be effectively compensated through the self-adaptive digital predistortion technology, so that the effect of linearizing the power amplifier is achieved. However, none of the previously studied power amplifier behavior models can be used to represent a power amplifier behavior model in a multi-beam transmitter system, so that the power amplifier behavior model in the multi-beam transmitter system must be re-modeled to establish a multi-beam power amplifier behavior model capable of simulating power amplifier nonlinearity and memory effect, and linear crosstalk and nonlinear crosstalk, so as to perform effective compensation.
In the prior art, as shown in fig. 3, for a low-orbit satellite multi-beam transmitter, a practical modeling application includes nonlinear Crosstalk and linear Crosstalk, where Crosstalk (Crosstalk) is inter-signal interference generated by signals from one branch to another branch during signal transmission of two or more signal sources in an electronic system. In the low-earth-orbit satellite multi-beam transmitter system, crosstalk refers to interference generated by signals among different transmitting paths, and is generated because a plurality of transmitting channels of the low-earth-orbit satellite multi-beam transmitter are integrated on the same circuit board. Depending on where Crosstalk occurs, Crosstalk in a low earth satellite multi-beam transmitter is divided into linear Crosstalk (linear Crosstalk) and nonlinear Crosstalk (nonlinear Crosstalk); the linear crosstalk refers to signal interference of a transmission signal outside a low-orbit satellite multi-beam transmitter, namely transmission signal interference between transmission antennas, and is understood from the other aspect that the crosstalk between the signals is linear crosstalk without a nonlinear power amplifier; the crosstalk between the nonlinear crosstalk signals is required to be subjected to nonlinear power amplification, namely nonlinear crosstalk.
Disclosure of Invention
The invention aims to at least solve the technical problems in the prior art, and particularly innovatively provides a dual-beam power amplifier behavior model equivalent circuit, an analysis method and a system.
In order to achieve the above object, according to a first aspect of the present invention, the present invention provides an equivalent circuit of a two-beam power amplifier behavior model, comprising a nonlinear crosstalk coupler, a first synthesis filter, a second synthesis filter and a linear crosstalk coupler; the first output end of the nonlinear crosstalk coupler is connected with the input end of the first synthesis filter, the output end of the first synthesis filter is connected with the first input end of the linear crosstalk coupler, the second output end of the nonlinear crosstalk coupler is connected with the input end of the second synthesis filter, and the output end of the second synthesis filter is connected with the second input end of the linear crosstalk coupler.
The technical scheme is as follows: aiming at linear crosstalk and nonlinear crosstalk generated by integrating two transmitting channels of a multi-beam transmitter system on the same circuit board, an equivalent circuit of a two-beam transmitter power amplification model is provided based on a nonlinear crosstalk basis function, a linear crosstalk basis function and a memory effect, the equivalent circuit comprises a nonlinear crosstalk coupler, a linear crosstalk coupler and a comprehensive filter for representing the memory effect and the nonlinearity of a dual-beam power amplifier, the equivalent circuit is low in complexity and convenient to apply in practical engineering, theoretical reference and technical support are provided for further researching the 5G large-scale MIMO and low-orbit satellite communication multi-beam antenna technology, and linear and nonlinear crosstalk, the power amplifier memory effect and power amplifier nonlinear compensation are facilitated.
In a preferred embodiment of the present invention, the first synthesize filter includes a first power amplifier and a first attenuator, an input terminal of the first power amplifier is connected to a first output terminal of the nonlinear crosstalk coupler, an output terminal of the first power amplifier is connected to an input terminal of the first attenuator, and an output terminal of the first attenuator is connected to a first input terminal of the linear crosstalk coupler; the second synthesis filter comprises a second power amplifier and a second attenuator, the input end of the second power amplifier is connected with the second output end of the nonlinear crosstalk coupler, the output end of the second power amplifier is connected with the input end of the second attenuator, and the output end of the second attenuator is connected with the second input end of the linear crosstalk coupler.
The technical scheme is as follows: the structure of the first synthesis filter and the second synthesis filter is convenient for simulating the actual power of two transmitting channels in an actual 5G large-scale MIMO circuit board and a satellite communication multi-beam circuit board to the maximum extent, so that the equivalent circuit can simulate an actual application scene with high precision.
In order to achieve the above object, according to a second aspect of the present invention, there is provided a dual-beam power amplifier behavior analysis method, including: step S1, building an equivalent circuit of the dual-beam power amplifier behavior model based on the working frequency band and the target power of the dual-beam power amplifier; step S2, repeating M times to execute the following steps: the nth secondary of the first input signal s1(n) and a second input signal s2(n) converting the first input signal s1(n) and a second input signal s2(n) simultaneously inputting an equivalent circuit of the dual-beam power amplifier behavior model; measuring two output signals x of a nonlinear crosstalk coupler1(n) and x2(n), output signal u of the first synthesize filter1(n), output signal u of the second synthesize filter2(n) and two output signals y of the linear crosstalk coupler1(n) and y2(n); the n belongs to [1, M ∈]M is a positive integer; and step S3, acquiring characteristic parameters of the dual-beam power amplifier channel according to the data measured in the step S2.
The technical scheme is as follows: the equivalent circuit for building the dual-beam power amplifier behavior model can simulate the power amplifier nonlinearity and memory effect, the linear crosstalk and the nonlinear crosstalk in a dual-beam channel with high precision, and obtain characteristic parameters based on M groups of measurement data of the equivalent circuit under different input signals, and the characteristic parameters are used for representing the characteristics of the transmission channel in the subsequent 5G large-scale MIMO circuit board and the satellite communication multi-beam circuit board, so that the model complexity is simplified, and the equivalent circuit is suitable for effectively compensating the linear crosstalk, the nonlinear crosstalk, the power amplifier memory effect and the power amplifier nonlinearity of the subsequent 5G large-scale MIMO circuit board and the satellite communication multi-beam circuit board in actual work, and the performance of a transmission system is improved.
In a preferred embodiment of the present invention, the step S3 includes: a step of obtaining crosstalk factors of the nonlinear crosstalk coupler and the linear crosstalk coupler based on the data measured in step S2, which includes the following specific steps: obtaining a nonlinear coupling coefficient CO of a nonlinear crosstalk coupler: the above-mentioned
Figure BDA0002765298380000041
Obtaining a first nonlinear crosstalk factor alpha and a second nonlinear crosstalk factor beta of the nonlinear crosstalk coupler as follows:
Figure BDA0002765298380000051
the first nonlinear crosstalk factor alpha represents the capacity of a second input signal for disturbing a first output signal of the nonlinear crosstalk coupler, and the second nonlinear crosstalk factor beta represents the capacity of the first input signal for disturbing a second output signal of the nonlinear crosstalk coupler; obtaining a linear coupling coefficient CO' of the linear crosstalk coupler: the above-mentioned
Figure BDA0002765298380000052
Obtaining the first linear crosstalk factor of the linear crosstalk couplerThe sub λ and the second linear crosstalk factor η are:
Figure BDA0002765298380000053
the first linear crosstalk factor lambda represents the output signal disturbance output signal y of the second synthesis filter1(n) the second linear crosstalk factor η characterizing the output signal disturbance output signal y of the first synthesis filter2(n) ability of the compound.
The technical scheme is as follows: acquiring four characteristic parameters of a first nonlinear crosstalk factor alpha and a second nonlinear crosstalk factor beta of a nonlinear crosstalk coupler, a first linear crosstalk factor lambda and a second linear crosstalk factor eta of a linear crosstalk coupler, wherein the four characteristic parameters represent nonlinear crosstalk and linear crosstalk characteristics in a dual-beam channel; and the relationship among crosstalk factors is also provided, so that the calculation and the practical application are convenient. In a preferred embodiment of the present invention, the step S3 further includes the steps of: step A; constructing a first input vector S according to the data measured in the step S21A second input vector S2A first output signal vector Y1A second output signal vector Y2(ii) a Said S1=[s1(1),s1(2),...,s1(M)];S2=[s2(1),s2(2),...,s2(M)];Y1=[y1(1),y1(2),...,y1(M)];Y2=[y2(1),y2(2),...,y2(M)](ii) a B, performing a step; inputting the first input vector S1A second input vector S2A first output signal vector Y1A second output signal vector Y2Substituting the elements into the dual-beam power amplifier model to obtain M equation sets, and solving a polynomial parameter a of the dual-beam power amplifier model from the M equation setskqAnd bkq(ii) a The formula of the dual-beam power amplifier model is as follows:
Figure BDA0002765298380000061
wherein K represents a preset nonlinear order, and K belongs to [1, K ∈](ii) a Q represents the preset memory depth, Q is the [1, Q ]](ii) a M is K or Q, K is less than or equal to M, and Q is less than or equal to M; step C, obtaining the coefficient of the first synthesis filter as follows:
Figure BDA0002765298380000062
obtaining a second synthesis filter coefficient as:
Figure BDA0002765298380000063
the technical scheme is as follows: polynomial parameter akqAnd bkqAnd the first comprehensive filter coefficient and the second comprehensive filter coefficient are characteristic parameters of a dual-beam power amplifier channel, the characteristic parameters represent the memory effect and nonlinearity of the dual-beam power amplifier, the used dual-beam power amplifier model effectively embodies the characteristics of the nonlinearity and memory effect of the power amplifier and the linear crosstalk and nonlinear crosstalk, the relation among the parameters is given, the power amplifier model can be used for representing a power amplifier behavior model in a multi-beam transmitter system, and the linear crosstalk and the nonlinear crosstalk of a subsequent 5G large-scale MIMO circuit board and a satellite communication multi-beam circuit board, the memory effect and the nonlinearity of the power amplifier can be effectively compensated through the dual-beam power amplifier model in actual work, so that the performance of the transmitting system is improved.
In order to achieve the above object, according to a third aspect of the present invention, the present invention provides an analysis system based on the dual-beam power amplifier behavior analysis method of the present invention, comprising an equivalent circuit of the dual-beam power amplifier behavior model of the present invention, two signal generators, and at least one signal detection device; the output ends of the two signal generators are respectively connected with the two input ends of the nonlinear crosstalk coupler, and the signal detection equipment measures two output signals x of the nonlinear crosstalk coupler simultaneously or in a time-sharing manner1(n) and x2(n), output signal u of the first synthesize filter1(n), output signal u of the second synthesize filter2(n) and two output signals y of the linear crosstalk coupler1(n) and y2(n)。
The technical scheme is as follows: the equivalent circuit of the system comprises a nonlinear crosstalk coupler, a linear crosstalk coupler and a comprehensive filter for representing the memory effect and nonlinearity of the dual-beam power amplifier, the complexity of the equivalent circuit is low, the equivalent circuit is convenient to be applied in practical engineering, theoretical reference and technical support are provided for further researching the 5G large-scale MIMO and low-orbit satellite communication multi-beam antenna technology, the linear crosstalk, the nonlinear crosstalk, the power amplifier memory effect and the nonlinear compensation are convenient to perform, and the system can conveniently generate different input signals through a signal generator.
In a preferred embodiment of the present invention, the crosstalk isolator further includes a radio frequency switch, and two input ends of the radio frequency switch are respectively connected to two output ends of the linear crosstalk coupler in a one-to-one correspondence.
The technical scheme is as follows: the radio frequency switch is used for measuring two output signals of the linear crosstalk coupler in a time-sharing mode, so that the number of required signal detection equipment can be reduced, and the system structure is simplified.
Drawings
FIG. 1 is a schematic diagram of an equivalent circuit according to an embodiment of the present invention;
FIG. 2 is another schematic diagram of an equivalent circuit according to an embodiment of the present invention;
fig. 3 is an input/output characteristic curve of a first power amplifier or a second power amplifier in an equivalent circuit according to an embodiment of the present invention;
fig. 4 is a schematic diagram of interference in a dual-beam power amplifier channel in the prior art.
Reference numerals:
1 a nonlinear crosstalk coupler; 2 a first synthesis filter; 3 a second synthesize filter; 4 linear crosstalk coupler.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to the same or similar elements or elements having the same or similar function throughout. The embodiments described below with reference to the accompanying drawings are illustrative only for the purpose of explaining the present invention, and are not to be construed as limiting the present invention.
In the description of the present invention, it is to be understood that the terms "longitudinal", "lateral", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", and the like, indicate orientations or positional relationships based on those shown in the drawings, and are used merely for convenience of description and for simplicity of description, and do not indicate or imply that the referenced devices or elements must have a particular orientation, be constructed in a particular orientation, and be operated, and thus, are not to be construed as limiting the present invention.
In the description of the present invention, unless otherwise specified and limited, it is to be noted that the terms "mounted," "connected," and "connected" are to be interpreted broadly, and may be, for example, a mechanical connection or an electrical connection, a communication between two elements, a direct connection, or an indirect connection via an intermediate medium, and specific meanings of the terms may be understood by those skilled in the art according to specific situations.
The invention discloses an equivalent circuit of a dual-beam power amplifier behavior model, as shown in figure 1, in a preferred embodiment, the equivalent circuit comprises a nonlinear crosstalk coupler 1, a first synthesis filter 2, a second synthesis filter 3 and a linear crosstalk coupler 4; the first output end of the nonlinear crosstalk coupler 1 is connected with the input end of the first synthesis filter 2, the output end of the first synthesis filter 2 is connected with the first input end of the linear crosstalk coupler 4, the second output end of the nonlinear crosstalk coupler 1 is connected with the input end of the second synthesis filter 3, and the output end of the second synthesis filter 3 is connected with the second input end of the linear crosstalk coupler 4.
In the embodiment, the memory effect and nonlinearity of the equivalent dual-beam power amplifier of the synthesis filter are utilized.
In a preferred embodiment, as shown in fig. 2, the first synthesize filter 2 includes a first power amplifier and a first attenuator, an input terminal of the first power amplifier is connected to a first output terminal of the nonlinear crosstalk coupler 1, an output terminal of the first power amplifier is connected to an input terminal of the first attenuator, and an output terminal of the first attenuator is connected to a first input terminal of the linear crosstalk coupler 4; the second synthesis filter 3 comprises a second power amplifier and a second attenuator, the input end of the second power amplifier is connected with the second output end of the nonlinear crosstalk coupler 1, the output end of the second power amplifier is connected with the input end of the second attenuator, and the output end of the second attenuator is connected with the second input end of the linear crosstalk coupler 4.
In this embodiment, in order to realize the function of the synthesize filter, the synthesize filter is designed as a series structure of a power amplifier and an attenuator, and the attenuator can simulate the power condition when the channel transmits any channel.
The invention also discloses a dual-beam power amplifier behavior analysis method, which comprises the following steps:
step S1, building an equivalent circuit of the dual-beam power amplifier behavior model based on the working frequency band and the target power of the dual-beam power amplifier;
step S2, repeating M times to execute the following steps:
the nth secondary of the first input signal s1(n) and a second input signal s2(n) converting the first input signal s1(n) and a second input signal s2(n) simultaneously inputting an equivalent circuit of the dual-beam power amplifier behavior model;
measuring two output signals x of a nonlinear crosstalk coupler 11(n) and x2(n), output signal u of first synthesize filter 21(n), output signal u of second synthesize filter 32(n) and two output signals y of the linear crosstalk coupler 41(n) and y2(n);n∈[1,M]M is a positive integer, n is a positive integer;
and step S3, acquiring characteristic parameters of the dual-beam power amplifier channel according to the data measured in the step S2.
In this embodiment, in step S1, the nonlinear crosstalk coupler 1, the linear crosstalk coupler 4, the first synthesize filter 2, and the second synthesize filter 3 corresponding to the operating frequency band are selected according to the operating frequency band of the dual-beam power amplifier. If the dual-beam power amplifier is 5G, the working frequency of the nonlinear crosstalk coupler and the linear crosstalk coupler can be 50Hz to 20GHz, the coupling value is 13dB and 10dB, and the maximum insertion loss is 0.2dB and 0.5 dB; the first comprehensive filter 2 and the second comprehensive filter 3 are preferably both in a power amplifier series attenuator structure, the ultra-wideband frequency range of the attenuator is 10MHz to 20GHz, the attenuation range is 2dB step-by-step to 22dB, and the amplification factor of the power amplifier is set according to the target power of the dual-beam power amplifier. The input/output characteristic curve of the selected power amplifier is shown in fig. 4.
In the present embodiment, step S3 preferably includes: a step of obtaining crosstalk factors of the nonlinear crosstalk coupler 1 and the linear crosstalk coupler 4 based on the data measured in step S2, which includes the following specific steps:
obtaining the nonlinear coupling coefficient CO of the nonlinear crosstalk coupler 1:
Figure BDA0002765298380000101
the first nonlinear crosstalk factor α and the second nonlinear crosstalk factor β of the nonlinear crosstalk coupler 1 are obtained as follows:
Figure BDA0002765298380000102
the first nonlinear crosstalk factor alpha represents the ability of the second input signal to disturb the first output signal of the nonlinear crosstalk coupler 1, and the second nonlinear crosstalk factor beta represents the ability of the first input signal to disturb the second output signal of the nonlinear crosstalk coupler 1;
obtaining the linear coupling coefficient CO' of the linear crosstalk coupler 4:
Figure BDA0002765298380000103
the first and second linear crosstalk factors λ, η of the linear crosstalk coupler 4 are obtained as follows:
Figure BDA0002765298380000104
the first linear crosstalk factor λ characterizes the output signal disturbance output signal y of the second synthesis filter 31(n) ability, second linear crosstalkThe factor eta characterizes the output signal disturbance output signal y of the first synthesis filter 22(n) ability of the compound.
In the present embodiment, step S3 preferably further includes the steps of:
step A; constructing a first input vector S based on the data measured in step S21A second input vector S2A first output signal vector Y1A second output signal vector Y2
S1=[s1(1),s1(2),...,s1(M)];S2=[s2(1),s2(2),...,s2(M)];Y1=[y1(1),y1(2),...,y1(M)];Y2=[y2(1),y2(2),...,y2(M)];
B, performing a step; inputting the first input vector S1A second input vector S2A first output signal vector Y1A second output signal vector Y2Substituting the elements into the dual-beam power amplifier model to obtain M equation sets, and solving a polynomial parameter a of the dual-beam power amplifier model from the M equation setskqAnd bkq(ii) a The formula of the dual-beam power amplifier model is as follows:
Figure BDA0002765298380000111
wherein K represents a preset nonlinear order, and K belongs to [1, K ]; q represents a preset memory depth, and Q belongs to [1, Q ]; m is K or Q, K is less than or equal to M, and Q is less than or equal to M;
step C, obtaining the coefficients of the first synthesis filter 2 as:
Figure BDA0002765298380000112
the coefficients of the second synthesis filter 3 are obtained as follows:
Figure BDA0002765298380000113
in this embodiment, the process of establishing the dual-beam power amplifier model includes:
let s1(n)、s2(n) respectively representing input signal, nonlinear crosstalk signal x before input power amplification1(n) and x2(n) can be represented as:
Figure BDA0002765298380000121
output signal u of first synthesis filter 2 and second synthesis filter 31(n) and u2(n) are respectively:
Figure BDA0002765298380000122
the output signal y passes through the linear crosstalk coupler 41(n) and y2(n) is:
Figure BDA0002765298380000123
Figure BDA0002765298380000124
in the present embodiment, the process of determining the coefficient of the first synthesize filter 2 includes:
step 1: the discrete nth order nonlinear Volterra series expansion can be expressed as:
Figure BDA0002765298380000125
h1(q1),h2(q1,q2),h3(q1,q2,q3) And hN(q1,…,qN) Respectively representing the coefficients corresponding to the respective polynomials.
Step 2: only the first three terms are intercepted from the polynomial in the step 1, and the obtained simplified polynomial can be expressed as:
Figure BDA0002765298380000131
in the formula, h3(q1,q2,q3) Representing the coefficients of the corresponding polynomial.
And 3, only taking diagonal terms from the polynomial in the step 2, and making all the terms except the diagonal terms zero to obtain a further simplified polynomial which can be expressed as:
Figure BDA0002765298380000132
step 4, obtaining the first synthesis filter 2 by a mathematical induction method can be expressed as:
Figure BDA0002765298380000133
step 5, the radio frequency signal generates various harmonics through the power amplifier, and the even harmonics can be filtered by the band-pass filter, therefore, only considering the odd order term, the first synthesis filter 2 can be written as:
Figure BDA0002765298380000134
in the formula, a coefficient H of a synthesis filter 2q1(x) Can be expressed as
Figure BDA0002765298380000135
The process of calculating the coefficients of the second synthesize filter 3 is referred to above and will not be described herein.
In an application scenario of the embodiment, in a research and development process of a dual-beam power amplifier product (such as a 5G MIMO or low-earth orbit satellite multi-beam channel application scenario), a dual-beam power amplifier behavior is established according to a target power and a working frequency band of a dual-beam channelThe equivalent circuit of the model is used for obtaining a first nonlinear crosstalk factor alpha and a second nonlinear crosstalk factor beta of a nonlinear crosstalk coupler 1 of a dual-beam power amplification channel, a first linear crosstalk factor lambda and a second linear crosstalk factor eta of a linear crosstalk coupler 4 and a polynomial parameter a of the dual-beam power amplification model after M times of measurement based on measurement datakqAnd bkqAnd substituting the characteristic parameters into a dual-beam power amplifier model formula, fixing the obtained dual-beam power amplifier model, and in the use of a product, knowing an output signal corresponding to each input signal according to the dual-beam power amplifier model, so that the input signal can be compensated based on the dual-beam power amplifier model to obtain a target output signal, so that the output signal is the target output signal.
The invention also discloses an analysis system based on the dual-beam power amplifier behavior analysis method, and in a preferred embodiment, the analysis system comprises an equivalent circuit of the dual-beam power amplifier behavior model, two signal generators and at least one signal detection device; the output ends of the two signal generators are respectively connected with the two input ends of the nonlinear crosstalk coupler 1, and the signal detection equipment measures two output signals x of the nonlinear crosstalk coupler 1 simultaneously or in a time-sharing manner1(n) and x2(n), output signal u of first synthesize filter 21(n), output signal u of second synthesize filter 32(n) and two output signals y of the linear crosstalk coupler 41(n) and y2(n)。
In this embodiment, the signal generator is preferably, but not limited to, selected to have a frequency range of 9kHz to 6 GHz; the frequency resolution is 0.1 Hz; the output level range is-127 dBm to +13 dBm; signal source with level resolution of 0.1 dB.
In a preferred embodiment, the system further comprises a radio frequency switch, and two input ends of the radio frequency switch are respectively connected with two output ends of the linear crosstalk coupler 4 in a one-to-one correspondence manner. The working frequency of the radio frequency switch is 50Hz to 20GHz, the insertion loss is low, and the isolation is high.
In a preferred embodiment, the signal detection device is a spectrometer. Preferably, the frequency spectrometer is selected from the frequency range of 9kHz to 20 GHz; the resolution bandwidth RBW is 30Hz, the average noise level DANL is less than or equal to-130 dBm and is a measurement level range: 130dBm to 30 dBm.
In the description herein, references to the description of the term "one embodiment," "some embodiments," "an example," "a specific example," or "some examples," etc., mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
While embodiments of the invention have been shown and described, it will be understood by those of ordinary skill in the art that: various changes, modifications, substitutions and alterations can be made to the embodiments without departing from the principles and spirit of the invention, the scope of which is defined by the claims and their equivalents.

Claims (6)

1. An equivalent circuit of a dual-beam power amplifier behavior model is characterized by comprising a nonlinear crosstalk coupler, a first synthesis filter, a second synthesis filter and a linear crosstalk coupler;
the first output end of the nonlinear crosstalk coupler is connected with the input end of the first synthesis filter, the output end of the first synthesis filter is connected with the first input end of the linear crosstalk coupler, the second output end of the nonlinear crosstalk coupler is connected with the input end of the second synthesis filter, and the output end of the second synthesis filter is connected with the second input end of the linear crosstalk coupler.
2. The equivalent circuit of the dual-beam power amplifier behavioral model according to claim 1, characterized in that, the first synthesize filter includes the first power amplifier and the first attenuator, the input terminal of the first power amplifier is connected with the first output terminal of the nonlinear crosstalk coupler, the output terminal of the first power amplifier is connected with the input terminal of the first attenuator, the output terminal of the first attenuator is connected with the first input terminal of the linear crosstalk coupler;
the second synthesis filter comprises a second power amplifier and a second attenuator, the input end of the second power amplifier is connected with the second output end of the nonlinear crosstalk coupler, the output end of the second power amplifier is connected with the input end of the second attenuator, and the output end of the second attenuator is connected with the second input end of the linear crosstalk coupler.
3. A dual-beam power amplifier behavior analysis method is characterized by comprising the following steps:
step S1, building an equivalent circuit of the dual-beam power amplifier behavior model of claim 1 or 2 based on the working frequency band and the target power of the dual-beam power amplifier;
step S2, repeating M times to execute the following steps:
the nth secondary of the first input signal s1(n) and a second input signal s2(n) converting the first input signal s1(n) and a second input signal s2(n) simultaneously inputting an equivalent circuit of the dual-beam power amplifier behavior model;
measuring two output signals x of a nonlinear crosstalk coupler1(n) and x2(n), output signal u of the first synthesize filter1(n), output signal u of the second synthesize filter2(n) and two output signals y of the linear crosstalk coupler1(n) and y2(n); the n belongs to [1, M ∈]M is a positive integer;
step S3, obtaining characteristic parameters of the dual-beam power amplifier channel according to the data measured in the step S2; the step S3 includes: a step of obtaining crosstalk factors of the nonlinear crosstalk coupler and the linear crosstalk coupler based on the data measured in step S2, which includes the following specific steps:
obtaining a nonlinear coupling coefficient CO of a nonlinear crosstalk coupler:
the above-mentioned
Figure FDA0003108240150000021
Obtaining a first nonlinear string of nonlinear crosstalk couplersThe crosstalk factor α and the second nonlinear crosstalk factor β are:
Figure FDA0003108240150000022
the first nonlinear crosstalk factor alpha represents the capacity of a second input signal for disturbing a first output signal of the nonlinear crosstalk coupler, and the second nonlinear crosstalk factor beta represents the capacity of the first input signal for disturbing a second output signal of the nonlinear crosstalk coupler;
obtaining a linear coupling coefficient CO' of the linear crosstalk coupler:
the above-mentioned
Figure FDA0003108240150000023
Obtaining a first linear crosstalk factor lambda and a second linear crosstalk factor eta of the linear crosstalk coupler as follows:
Figure FDA0003108240150000024
the first linear crosstalk factor lambda represents the output signal disturbance output signal y of the second synthesis filter1(n) the second linear crosstalk factor η characterizing the output signal disturbance output signal y of the first synthesis filter2(n) ability; the step S3 further includes the steps of:
step A; constructing a first input vector S according to the data measured in the step S21A second input vector S2A first output signal vector Y1A second output signal vector Y2
Said S1=[s1(1),s1(2),...,s1(M)];S2=[s2(1),s2(2),...,s2(M)];Y1=[y1(1),y1(2),...,y1(M)];Y2=[y2(1),y2(2),...,y2(M)];
B, performing a step; inputting the first input vector S1A second input vector S2A first output signal vector Y1A second outputSignal vector Y2Substituting the elements into the dual-beam power amplifier model to obtain M equation sets, and solving a polynomial parameter a of the dual-beam power amplifier model from the M equation setskqAnd bkq(ii) a The formula of the dual-beam power amplifier model is as follows:
Figure FDA0003108240150000031
wherein K represents a preset nonlinear order, and K belongs to [1, K ]; q represents a preset memory depth, and Q belongs to [1, Q ]; m is K or Q, K is less than or equal to M, and Q is less than or equal to M;
step C, obtaining the coefficient of the first synthesis filter as follows:
Figure FDA0003108240150000032
obtaining a second synthesis filter coefficient as:
Figure FDA0003108240150000033
4. an analysis system based on the dual-beam power amplifier behavior analysis method of claim 3, characterized by comprising the equivalent circuit of the dual-beam power amplifier behavior model of claim 1 or 2, two signal generators, and at least one signal detection device;
the output ends of the two signal generators are respectively connected with the two input ends of the nonlinear crosstalk coupler, and the signal detection equipment measures two output signals x of the nonlinear crosstalk coupler simultaneously or in a time-sharing manner1(n) and x2(n), output signal u of the first synthesize filter1(n), output signal u of the second synthesize filter2(n) and two output signals y of the linear crosstalk coupler1(n) and y2(n)。
5. The analytical system of claim 4, further comprising an RF switch having two inputs connected in one-to-one correspondence with two outputs of the linear crosstalk coupler, respectively.
6. The analytical system of claim 4, wherein the signal detection device is a spectrometer.
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