CN113489666A - Amplitude limiting noise elimination method and system based on peak-to-average ratio inhibition and electronic equipment - Google Patents
Amplitude limiting noise elimination method and system based on peak-to-average ratio inhibition and electronic equipment Download PDFInfo
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Abstract
The invention provides a method and a system for eliminating amplitude limiting noise based on peak-to-average ratio inhibition and electronic equipment. According to the method, the peak-to-average ratio of the OTFS-BFDM signal is suppressed by using an amplitude limiting and filtering method at a sending end, amplitude limiting noise is reconstructed by using the same modulation and amplitude limiting method as that at the sending end, and the residual quantity of the amplitude limiting noise in an initial receiving signal is reduced by means of iterative elimination, so that the accuracy of system decoding is improved while the peak-to-average ratio of the OTFS-BFDM signal is reduced.
Description
Technical Field
The present application relates to the field of wireless communication technologies, and in particular, to a method, a system, and an electronic device for eliminating clipping noise based on peak-to-average power ratio suppression.
Background
Next generation wireless systems (5G and beyond) are intended to facilitate seamless and reliable communications in high mobility environments, including high speed train, airplane, vehicle-to-vehicle, and vehicle-to-infrastructure communications. While Orthogonal Frequency Division Multiplexing (OFDM) systems can achieve high spectral efficiency over time-invariant, frequency-selective channels, they exhibit insufficient robustness over time-variant channels with high doppler spread. Recently proposed Orthogonal Time Frequency Space (OTFS) systems have proven to have significant advantages over OFDM in high mobility environments. And further, OTFS transformation and dual-orthogonal frequency division multiplexing (BFDM) modulation are combined to form an OTFS-BFDM system, the system has a longer non-rectangular prototype window function, flexible waveform design and lower out-of-band dispersion can be realized, and the sparse connectivity of the system is ensured. However, the peak-to-average ratio (PAPR) of the OTFS-BFDM signal becomes higher as the number of symbols in the transmission interval increases. When the PAPR is too high, the transmitter may cause nonlinear distortion of the signal, ultimately affecting the BER performance of the system. Therefore, it is urgent to take effective measures to suppress the PAPR of the OTFS-BFDM system.
In a multi-carrier system based on a Message Passing (MP) signal detection algorithm, in order to not destroy the sparse connectivity of the system, a selective mapping method and an MP auxiliary amplitude limiting method are mostly adopted to inhibit the PAPR of a signal at present, the former causes signal distortion, but requires sideband information transmission and reduces the spectrum utilization rate, and the latter takes amplitude limiting noise and channel noise as the noise input of the MP algorithm, so that the amplitude limiting interference is relieved, but the influence on the system BER is still large.
In view of this, the present invention provides a method for eliminating clipping noise for peak-to-average power ratio suppression in an OTFS-BFDM system, which can recover the BER performance of the system as much as possible while solving the problem of too high PAPR of the system.
Disclosure of Invention
The invention provides a method, a system and electronic equipment for eliminating amplitude limiting noise based on peak-to-average ratio suppression, wherein the following technical scheme is adopted, under the assumption that a channel state, an amplitude limiting parameter and a window function are completely known at a receiving end, and a modulation symbol (such as 4QAM) of an OTFS-BFDM system is transmitted on a delay Doppler grid, wherein the sum respectively represents the maximum Doppler and delay offset:
a clipping noise elimination method based on peak-to-average ratio suppression is applied to a clipping noise elimination system and comprises the following steps:
Step 3, outputting the judgment output variable signal vectorThe OTFS-BFDM is modulated and then divided into two paths, one path is subjected to amplitude limiting and filtering processing which are the same as those of a sending end, so that a first path of amplitude limiting processing signal is obtainedThe other path is multiplied by a limiting attenuation factor to obtain a second path of attenuation processing signalsThe first path of amplitude limiting processing signal is usedAnd the second path of attenuation processing signalSubtracting to obtain a reconstructed clipping noise vectorClipping the noise vectorObtaining the reconstructed clipping noise estimation at the receiver end after passing through the channel convolution matrix;
Step 5, the corrected received signal is processedSubstitutionThe initial received signalAnd returning to the step 2 and repeatedly executing the step 2 according to the preset maximum iteration timesWhen the number of iterations reachesAnd then jumping out and finishing the amplitude limiting noise elimination.
Further, the performing of primary amplitude limiting and filtering on the OTFS-BFDM modulated signal specifically includes:
the pair of OTFS-BFDM modulation signal and amplitude limiting processing signalIs expressed asWhereinfor the purpose of OTFS-BFDM modulation signals,which represents the clipping attenuation factor, is,is a clipping noise vector;
in the formula:is amplitude limiting rate, which represents the ratio of amplitude limiting threshold power to the average power of amplitude limiting processing signal;
the signal of the sending end after amplitude limiting processing isWhereinRepresenting a vector of modulation symbols;
Further, the OTFS-BFDM modulation signal is calculated by a transmission matrix of an OTFS-BFDM system, wherein the transmission matrix of the OTFS-BFDM system isWhereinIs the ISSFT transform and is,andrespectively representing normalisationDot IDFT matrix sumThe dimension-unit matrix is a matrix of the dimension units,which represents the kronecker product of,is a filter coefficient matrix of the BFDM analysis,is shown as
further, the PAPR of the clipping noise cancellation system is preset, and the PAPR of the discrete time sample of a frame of OTFS-BFDM transmission signal is defined as:
the PAPR performance of the clipping noise cancellation system is measured by a complementary cumulative distribution function CCDF that calculates that the peak power ratio of each transmitted sample value exceeds a predefined thresholdThe complementary cumulative distribution function CCDF has statistical properties, and is calculated by the following formula:
in the formula:representing random variablesThe probability in a certain interval is that,by natural constantsAn exponential function of the base is used,is the number of sample points.
Further, the pair of initial received signalsPerforming attenuation removing treatment, which specifically comprises the following steps:
processing the amplitude-limited signalAfter passing through a Doppler frequency shift frequency fading channel, an initial receiving signal is obtainedWhereinIn order to convolve the matrix for the channel,for the channel additive white Gaussian noise vector, the receiving matrix of the OTFS-BFDM system isWhereinIs a transformation of the SFFT to the inverse,representing normalizationA point DFT matrix is formed on the basis of the point DFT matrix,is a coefficient matrix of a BFDM synthesis filter;
When receiving signalsObtaining observation signal vector after receiving matrix through OTFS-BFDM system:
Wherein,is composed ofA channel effective matrix representing the system is shown,in order to clip the noise, it is,is the channel noise;
or
Wherein,is composed ofA channel effective matrix representing the system is shown,in order to clip the noise, it is,is the channel noise.
Further, the step 3 specifically includes:
step 301, output variable signal vectorCarrying out OTFS-BFDM modulation to obtain a new OTFS-BFDM signal;
step 302, after performing amplitude limiting processing on the new OTFS-BFDM signal, obtaining a first path of amplitude limiting processed signal;
Step 303, after the new OTFS-BFDM signal is attenuated, a second path of attenuated signal is obtained;
Step 304, limiting the first path of amplitude limiting processing signalAnd the second path of attenuation processing signalSubtracting to obtain reconstructed clipping noise;
Step 305, clipping the reconstructed clipping noiseObtaining a reconstructed clipping noise estimate at the receiver end by means of a channel convolution matrix。
or
Wherein,the residual clipping noise is obtained by calculating the difference between the initial clipping noise and the reconstructed clipping noise, and is obtained before the observation signal enters the detector and is further reduced in the next iteration.
A clipping noise elimination system based on peak-to-average ratio suppression applies the clipping noise elimination method, and the system comprises: the system comprises a transmitter and a receiver, wherein the transmitter is positioned at a transmitting end, the receiver is positioned at a receiving end, and the transmitter and the receiver are connected through a wireless communication link.
An electronic device comprising a memory unit having a computer program stored thereon and a processor unit implementing the above method when executing the program.
Through the embodiment of the application, the following technical effects can be obtained: the PAPR of the OTFS-BFDM signal is restrained by using a method of once amplitude limiting and filtering at a sending end, amplitude limiting noise is reconstructed at a receiving end, and the amplitude limiting noise is eliminated from an initial receiving signal as far as possible through an iteration mode, so that the accuracy of signal decoding is improved.
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In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings needed to be used in the embodiments or the prior art descriptions will be briefly described below, and it is obvious that the drawings in the following description are some embodiments of the present application, and those skilled in the art can also obtain other drawings according to the drawings without inventive labor.
FIG. 1 is a flow chart of the algorithm of the clipping noise cancellation method of the present invention;
FIG. 2 is a schematic diagram of the system components of the present invention;
FIG. 3 is a diagram of the PAPR complementary cumulative distribution function of the present invention;
fig. 4 is a schematic diagram of bit error rate simulation according to the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are some embodiments of the present application, but not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present application.
The invention provides an amplitude limiting noise elimination scheme aiming at the peak-to-average power ratio inhibition of an OTFS-BFDM system based on the OTFS-BFDM system architecture, and the problem that the PAPR of the system is too high especially under the condition of a large data packet is considered. The invention uses a method of amplitude limiting and filtering at the sending end once, ensures the linear relation between the original signal and the amplitude limiting processing signal and reduces the PAPR of the system, and reduces the interference of the amplitude limiting noise to the signal decoding by a method of reconstructing the amplitude limiting noise and iteratively eliminating at the receiving end.
Fig. 1 is a flowchart of an algorithm of a clipping noise removing method according to the present invention, which is applied to a clipping noise removing system, and the clipping noise removing method includes the following steps:
When a Gaussian random signal enters the amplitude limiting device, the output signal of the Gaussian random signal can be statistically decomposed into the sum of two parts of uncorrelated signals, and the purpose of using one-time amplitude limiting and filtering is to keep the linear relation and filter out-of-band noise;
the performing primary amplitude limiting and filtering on the OTFS-BFDM modulated signal specifically includes:
the pair of OTFS-BFDM modulation signal and amplitude limiting processing signalIs expressed asWhereinfor the purpose of OTFS-BFDM modulation signals,which represents the clipping attenuation factor, is,is a clipping noise vector;
in the formula:is amplitude limiting rate, which represents the ratio of amplitude limiting threshold power to the average power of amplitude limiting processing signal;
the signal of the sending end after amplitude limiting processing isWhereinRepresents a modulation symbol vector, e.g., 4 QAM;
the OTFS-BFDM modulation signal is calculated through a transmission matrix of an OTFS-BFDM system, wherein the transmission matrix of the OTFS-BFDM system isWhereinIs the ISSFT transform and is,andrespectively representing normalisationDot IDFT matrix sumThe dimension-unit matrix is a matrix of the dimension units,which represents the kronecker product of,is a filter coefficient matrix of the BFDM analysis,is shown as
at a sending end, presetting the PAPR of the clipping noise elimination system, and defining the PAPR of a discrete time sample of a frame of OTFS-BFDM transmitting signal as:
in practical applications, the PAPR performance of the clipping noise cancellation system is measured by a complementary cumulative distribution function CCDF that calculates that the peak power ratio of each transmitted sample value exceeds a predefined thresholdThe complementary cumulative distribution function CCDF has statistical properties, and is calculated by the following formula:
in the formula:representing random variablesThe probability in a certain interval is that,by natural constantsAn exponential function of the base is used,is the number of sampling points;
The pair of initial received signalsPerforming attenuation removing treatment, which specifically comprises the following steps:
processing the amplitude-limited signalAfter passing through a Doppler frequency shift frequency fading channel, an initial receiving signal is obtainedWhereinIn order to convolve the matrix for the channel,for the channel additive white Gaussian noise vector, the receiving matrix of the OTFS-BFDM system isWhereinIs a transformation of the SFFT to the inverse,representing normalizationA point DFT matrix is formed on the basis of the point DFT matrix,is a coefficient matrix of a BFDM synthesis filter;
When receiving signalsObtaining observation signal vector after receiving matrix through OTFS-BFDM system:
Wherein,is composed ofA channel effective matrix representing the system is shown,in order to clip the noise, it is,is the channel noise;
or
Wherein,is composed ofA channel effective matrix representing the system is shown,in order to clip the noise, it is,is the channel noise;
in the above-mentioned calculation formula,proved to be sparse connectivitySimultaneous multiplication by a diagonal matrix before and after it does not change the sparse connectivity, henceThe signal detection is also sparse and connected, so that the signal detection can be carried out by using an MP algorithm based on a factor graph; the system noise comprises amplitude limiting noise and channel noise, and the system defaults to use the channel noise as noise input of an MP detection algorithm when signal decoding is carried out, so that the decoding accuracy is influenced, the BER performance is reduced, and the amplitude limiting noise needs to be eliminated;
step 3, outputting the judgment output variable signal vectorThe OTFS-BFDM is modulated and then divided into two paths, one path is subjected to amplitude limiting and filtering processing which are the same as those of a sending end, so that a first path of amplitude limiting processing signal is obtainedThe other path is multiplied by a limiting attenuation factor to obtain a second path of attenuation processing signalsThe first path of amplitude limiting processing signal is usedAnd the second path of attenuation processing signalSubtracting to obtain a reconstructed clipping noise vectorClipping the noise vectorObtaining the reconstructed clipping noise estimation at the receiver end after passing through the channel convolution matrix;
The step 3 specifically includes:
step 301, output variable signal vectorCarrying out OTFS-BFDM modulation to obtain a new OTFS-BFDM signal;
step 302, after performing amplitude limiting processing on the new OTFS-BFDM signal, obtaining a first path of amplitude limiting processed signal;
Step 303, after the new OTFS-BFDM signal is attenuated, a second path of attenuated signal is obtained;
Step 304, limiting the first path of amplitude limiting processing signalAnd the second path of attenuation processing signalSubtracting to obtain reconstructed clipping noise;
Step 305, clipping the reconstructed clipping noiseObtaining a reconstructed clipping noise estimate at the receiver end by means of a channel convolution matrix;
or
Wherein,the residual amplitude limiting noise is obtained by calculating the difference between the initial amplitude limiting noise and the reconstructed amplitude limiting noise, and is obtained before an observation signal enters a detector and is further reduced in the next iteration;
step 5, the corrected received signal is processedReplacing the original received signalAnd returning to the step 2 and repeatedly executing the step 2 according to the preset maximum iteration timesWhen the number of iterations reachesJumping out and finishing the amplitude limiting noise elimination;
fig. 2 is a schematic diagram of a system composition structure of the present invention, where the clipping noise canceling system includes two parts, i.e., a transmitter and a receiver, the transmitter is located at a transmitting end, the receiver is located at a receiving end, and the transmitter and the receiver are connected through a wireless communication link.
The transmitter performs ISSFT conversion, BFDM modulation, amplitude limiting and filtering processing at a transmitting end, and the receiver performs BFDM demodulation, octal finite Fourier transform (SFFT), ISFFT and BFDM modulation, amplitude limiting and filtering processing at a receiving end.
In the simulation experiments of the present invention, the delay-doppler spectrum parameters considered are shown in table i, where the power gain of each path is uniformly distributed.
Table I: path =5 delay doppler spectral parameter
Table ii summarizes other relevant simulation parameters.
Table ii: simulation parameters
Fig. 3 is a diagram illustrating PAPR complementary cumulative distribution function of the present invention, wherein OTFS-BFDM uses CCDF of PAPR of RRC window function. To better study the PAPR of the signal, the value of the oversampling factor is O = 4.As shown in the figure, after the clipping process, the PAPR of the OTFS-BFDM signal is greatly reduced. When the CCDF probability isWhen the signal is processed, the PAPR of the signal adopting the amplitude limiting method is 1.015dB less than that of the SLM method and 4.38dB less than that of the original signal. In addition, as N increases, the CCDF of the signal PAPR also increases.
Fig. 4 is a schematic diagram of bit error rate simulation according to the present invention. In the invention, the BER performance of an OTFS-BFDM system adopting RRC under the condition that the Doppler frequency shift is 1935Hz is evaluated. It can be seen from the figure that OTFS-BFDM using the iterative clipping noise cancellation method has better and better BER performance as the number of iterations increases, since the residual clipping noise decreases as the number of iterations increases. Whether an iterative clipping noise cancellation method or an MP assisted clipping method is used (referred to as OTFS _ RCwithCN in the figure), the BER rate of the OTFS-BFDM system gets better as the clipping rate increases, since the higher the signal distortion, the smaller the signal distortion. While the latter allows for clipping noise as part of the system noise, the BER of systems employing the latter is generally greater than the former.
The invention discloses a method for eliminating amplitude limiting noise aiming at peak-to-average power ratio (PAPR) suppression in an OTFS-BFDM system. The method uses the amplitude limiting and filtering method to restrain the peak-to-average ratio of the OTFS-BFDM signal, reconstructs the amplitude limiting noise at the receiving end by using the same modulation and amplitude limiting method as the transmitting end, and reduces the residual quantity of the amplitude limiting noise in the initial receiving signal by an iterative elimination mode, thereby reducing the peak-to-average ratio of the OTFS-BFDM signal and improving the accuracy of system decoding. By comparing the PAPR and BER performance of the OTFS-BFDM system using the RRC window function under different methods, the method for amplitude limiting and filtering can better inhibit the PAPR than the SLM method, and the amplitude limiting noise elimination method aiming at the peak-to-average ratio inhibition has better BER performance than the MP auxiliary amplitude limiting method.
In some embodiments, part or all of the computer program may be loaded and/or installed onto the device via ROM. When being loaded and executed, may carry out one or more of the steps of the method described above.
The functions described herein above may be performed, at least in part, by one or more hardware logic components. For example, without limitation, exemplary types of hardware logic components that may be used include: a Field Programmable Gate Array (FPGA), an Application Specific Integrated Circuit (ASIC), an Application Specific Standard Product (ASSP), a system on a chip (SOC), a load programmable logic device (CPLD), and the like.
Program code for implementing the methods of the present disclosure may be written in any combination of one or more programming languages. These program codes may be provided to a processor or controller of a general purpose computer, special purpose computer, or other programmable data processing apparatus, such that the program codes, when executed by the processor or controller, cause the functions/operations specified in the flowchart and/or block diagram to be performed. The program code may execute entirely on the machine, partly on the machine, as a stand-alone software package partly on the machine and partly on a remote machine or entirely on the remote machine or server.
In the context of this disclosure, a machine-readable medium may be a tangible medium that can contain, or store a program for use by or in connection with an instruction execution system, apparatus, or device. The machine-readable medium may be a machine-readable signal medium or a machine-readable storage medium. A machine-readable medium may include, but is not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any suitable combination of the foregoing. More specific examples of a machine-readable storage medium would include an electrical connection based on one or more wires, a portable computer diskette, a hard disk, a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disc read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing.
Further, while operations are depicted in a particular order, this should be understood as requiring that such operations be performed in the particular order shown or in sequential order, or that all illustrated operations be performed, to achieve desirable results. Under certain circumstances, multitasking and parallel processing may be advantageous. Likewise, while several specific implementation details are included in the above discussion, these should not be construed as limitations on the scope of the disclosure. Certain features that are described in the context of separate embodiments can also be implemented in combination in a single implementation. Conversely, various features that are described in the context of a single implementation can also be implemented in multiple implementations separately or in any suitable subcombination.
Although the subject matter has been described in language specific to structural features and/or methodological acts, it is to be understood that the subject matter defined in the appended claims is not necessarily limited to the specific features or acts described above. Rather, the specific features and acts described above are disclosed as example forms of implementing the claims.
Claims (10)
1. A clipping noise elimination method based on peak-to-average power ratio suppression is applied to a clipping noise elimination system and is characterized by comprising the following steps:
step 1, at a sending end, carrying out primary amplitude limiting and filtering on an OTFS-BFDM modulation signal to obtain an amplitude limiting processing signal;
Step 2, at the receiving end, the initial received signal is processedAfter attenuation removal processing is carried out, observation signal vectors on a time domain are obtained through BFDM demodulation and octane-limited Fourier transform (SFFT)Will beSubstituting MP algorithm for channel equalization and decoding judgment, and outputting variable signal vector;
Step 3, outputting the judgment output variable signal vectorThe OTFS-BFDM is modulated and then divided into two paths, one path is subjected to amplitude limiting and filtering processing which are the same as those of a sending end, so that a first path of amplitude limiting processing signal is obtainedThe other path is multiplied by a limiting attenuation factor to obtain a second path of attenuation processing signalsThe first path of amplitude limiting processing signal is usedAnd the second path of attenuation processing signalSubtracting to obtain a reconstructed clipping noise vectorClipping the noise vectorObtaining the reconstructed clipping noise estimation at the receiver end after passing through the channel convolution matrix;
Step 4, receiving from the beginningSignalSubtracting reconstructed clipping noiseTo obtain a corrected received signalProceeding to the next iteration, and correcting the received signalPerforming attenuation removal processing and OTFS-BFDM demodulation to obtain a corrected observation signal vector;
Step 5, the corrected received signal is processedReplacing the original received signalAnd returning to the step 2 and repeatedly executing the step 2 according to the preset maximum iteration timesWhen the number of iterations reachesAnd then jumping out and finishing the amplitude limiting noise elimination.
2. The clipping noise removing method according to claim 1, wherein the clipping and filtering the OTFS-BFDM modulated signal for one time specifically includes:
the above-mentionedFor OTFS-BFDM modulation signal and amplitude limiting processing signalIs expressed asWhereinfor the purpose of OTFS-BFDM modulation signals,which represents the clipping attenuation factor, is,is a clipping noise vector;
in the formula: is amplitude limiting rate, which represents the ratio of amplitude limiting threshold power to the average power of amplitude limiting processing signal;
the signal of the sending end after amplitude limiting processing isWhereinRepresenting a vector of modulation symbols;
3. The clipping noise cancellation method according to claim 2, wherein the OTFS-BFDM modulated signal is calculated by a transmission matrix of an OTFS-BFDM system, the transmission matrix of the OTFS-BFDM system beingWhereinIs the ISSFT transform and is,andrespectively representing normalisationDot IDFT matrix sumThe dimension-unit matrix is a matrix of the dimension units,which represents the kronecker product of,is a filter coefficient matrix of the BFDM analysis,is shown as
4. the clipping noise cancellation method according to one of claims 1 to 3,
presetting the PAPR of the clipping noise elimination system, and defining the PAPR of discrete time samples of a frame of OTFS-BFDM transmitting signals as follows:
the PAPR performance of the clipping noise cancellation system is measured by a complementary cumulative distribution function CCDF that calculates that the peak power ratio of each transmitted sample value exceeds a predefined thresholdThe complementary cumulative distribution function CCDF has statistical properties, and is calculated by the following formula:
5. The clipping noise cancellation method according to claim 1, wherein the pair of original received signalsPerforming attenuation removing treatment, which specifically comprises the following steps:
processing the amplitude-limited signalAfter passing through a Doppler frequency shift frequency fading channel, an initial receiving signal is obtainedWhereinIn order to convolve the matrix for the channel,for the channel additive white Gaussian noise vector, the receiving matrix of the OTFS-BFDM system isWhereinIs a transformation of the SFFT to the inverse,representing normalizationA point DFT matrix is formed on the basis of the point DFT matrix,is a coefficient matrix of a BFDM synthesis filter;
6. the clipping noise cancellation method of claim 5, wherein the BFDM synthesis filter coefficient matrixIs shown as;
When receiving signalsObtaining observation signal vector after receiving matrix through OTFS-BFDM system:
Wherein,is composed ofA channel effective matrix representing the system is shown,in order to clip the noise, it is,is the channel noise;
or
7. The clipping noise removing method according to claim 1, wherein the step 3 specifically includes:
step 301, output variable signal vectorCarrying out OTFS-BFDM modulation to obtain a new OTFS-BFDM signal;
step 302, after performing amplitude limiting processing on the new OTFS-BFDM signal, obtaining a first path of amplitude limiting processed signal;
Step 303, after the new OTFS-BFDM signal is attenuated, a second path of attenuated signal is obtained;
Step 304, limiting the first path of amplitude limiting processing signalAnd the second path of attenuation processing signalSubtracting to obtain reconstructed clipping noise;
8. The clipping noise cancellation method according to claim 1, wherein the modified observation signal vector isCalculated by the following formula:
or
9. A clipping noise removing system based on peak-to-average ratio suppression, which applies the clipping noise removing method according to one of the claims 1 to 8, wherein the system comprises two parts, a transmitter and a receiver, the transmitter is located at a transmitting end, the receiver is located at a receiving end, and the transmitter and the receiver are connected through a wireless communication link.
10. An electronic device comprising a memory unit and a processor unit, the memory unit having stored thereon a computer program, characterized in that the processor unit, when executing the program, implements the method according to one of claims 1 to 8.
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