CN114978834A - Peak-to-average ratio suppression method and device for multi-carrier system and storage medium - Google Patents
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Abstract
The present disclosure provides a method, an apparatus and a storage medium for peak-to-average power ratio suppression of a multi-carrier system, and relates to the technical field of communications, wherein the method comprises: setting a companding function; the companding function comprises a piecewise nonlinear companding function and is used for carrying out companding conversion processing on the time domain signal after the multi-carrier signal is modulated; determining a signal amplitude threshold corresponding to a segmentation point of the companding function and a trimming parameter of the companding function; and carrying out companding transformation processing on the amplitude of the time domain signal after the multi-carrier signal is modulated by using a companding function so as to inhibit the peak-to-average ratio. The method, the device and the storage medium can better realize power compensation and reduce the influence on other performances of the system; meanwhile, the distortion caused by companding is measured by introducing companding distortion power, so that the parameters are optimized, the peak-to-average ratio of the multi-carrier system is effectively reduced, and the distortion caused by companding conversion is reduced.
Description
Technical Field
The present disclosure relates to the field of communications technologies, and in particular, to a method and an apparatus for peak-to-average power ratio suppression in a multi-carrier system, and a storage medium.
Background
UFMC (Universal Filtered multicarrier) is a novel multicarrier technique proposed by combining some advantages of OFDM (Orthogonal Frequency-Division Multiplexing) and FBMC (Filtered Bank multicarrier), divides a Frequency spectrum into a series of subbands including a plurality of subcarriers, and then performs a filtering operation on each subband. The UFMC is used as a novel multi-carrier of future mobile communication, adopts a filtering mode based on sub-bands, and has the advantages of small out-of-band radiation, strong time-frequency offset interference resistance, asynchronous communication support and the like. However, the UFMC system has the problem of too high peak-to-average ratio, which results in the efficiency reduction of the power amplifier and affects the system performance, and the existing peak-to-average ratio suppression scheme does not significantly reduce the PAPR (peak-to-average power ratio) or introduces more severe companding distortion.
Disclosure of Invention
In view of the above, an object of the present invention is to provide a method, an apparatus and a storage medium for peak-to-average ratio suppression in a multi-carrier system.
According to a first aspect of the present disclosure, there is provided a method for peak-to-average power ratio suppression of a multi-carrier system, including: setting a companding function; the companding function comprises a piecewise nonlinear companding function and is used for carrying out companding conversion processing on the time domain signal after the multi-carrier signal is modulated; determining a signal amplitude threshold corresponding to a segmentation point of the companding function and a trimming parameter of the companding function; and performing companding transformation processing on the amplitude of the time domain signal after the multi-carrier signal is modulated by using the companding function so as to suppress the peak-to-average ratio.
Optionally, the companding function is a three-segment nonlinear companding function, and the signal amplitude threshold includes: turning points and truncation points; the step of performing companding change processing on the amplitude of the time domain signal after the multi-carrier signal is modulated comprises the following steps: when the time domain signal amplitude is smaller than the turning point, keeping the time domain signal amplitude unchanged; when the time domain signal amplitude is greater than or equal to the turning point and smaller than the interception point, carrying out nonlinear expansion transformation processing on the time domain signal amplitude, and keeping the phase of the time domain signal unchanged so as to realize power compensation; when the time domain signal amplitude is larger than or equal to the truncation point, the time domain signal amplitude is set to the truncation point, and the phase of the time domain signal is kept unchanged.
Optionally, the determining a signal amplitude threshold corresponding to a segmentation point of the companding function comprises: determining the maximum peak-to-average power ratio (PAPR) of the multi-carrier signal according to preset power amplifier parameters; calculating a truncation point of the companding function based on the maximum PAPR.
Optionally, the determining a signal amplitude threshold corresponding to a segmentation point of the companding function and the modifying parameter comprises: setting a constraint condition of the companding function so as to keep the average power of the time domain signal before and after companding conversion processing unchanged; and setting companding distortion power, and determining the turning point and the correction parameter of the companding function based on the companding distortion power.
Optionally, the companding function is:
wherein A is e And A c Respectively an inflection point and an interception point of the companding function; a. d is the correction parameter of the companding function, and x is the time domain signal after the multi-carrier signal is modulated.
Optionally, the multi-carrier system includes: UFMC system, OFDM system, FBMC system; the multi-carrier signal comprises: UFMC signals, OFDM signals, FBMC signals.
According to a second aspect of the present disclosure, there is provided a peak-to-average ratio suppression apparatus for a multicarrier system, comprising: the function setting module is used for setting a companding function; the companding function comprises a piecewise nonlinear companding function and is used for carrying out companding conversion processing on the time domain signal after the multi-carrier signal is modulated; a parameter determining module for determining a signal amplitude threshold corresponding to a segmentation point of the companding function and a trimming parameter of the companding function; and the companding processing module is used for carrying out companding conversion processing on the amplitude of the time domain signal after the multi-carrier signal is modulated by using the companding function so as to carry out peak-to-average ratio suppression.
Optionally, the companding function is a three-segment nonlinear companding function, and the signal amplitude threshold includes: turning points and truncation points; the companding processing module is used for keeping the amplitude of the time domain signal unchanged when the amplitude of the time domain signal is smaller than the turning point; when the time domain signal amplitude is greater than or equal to the turning point and smaller than the interception point, carrying out nonlinear expansion transformation processing on the time domain signal amplitude, and keeping the phase of the time domain signal unchanged so as to realize power compensation; when the time domain signal amplitude is larger than or equal to the truncation point, the time domain signal amplitude is set to the truncation point, and the phase of the time domain signal is kept unchanged.
Optionally, the parameter determining module is specifically configured to determine a maximum peak-to-average power ratio (PAPR) of the multicarrier signal according to a preset power amplifier parameter; calculating a truncation point of the companding function based on the maximum PAPR.
Optionally, the parameter determining module is specifically configured to set a constraint condition of the companding function, so that average power of the time-domain signal before and after the companding transform is performed remains unchanged; and setting companding distortion power, and determining the turning point and the correction parameter of the companding function based on the companding distortion power.
Optionally, the companding function is:
wherein A is e And A c Respectively an inflection point and an interception point of the companding function; a. d are correction parameters of the companding function respectively, and x is a time domain signal after the multi-carrier signal is modulated.
Optionally, the multi-carrier system includes: UFMC system, OFDM system, FBMC system; the multi-carrier signal comprises: UFMC signals, OFDM signals, FBMC signals.
According to a third aspect of the present disclosure, there is provided a peak-to-average ratio suppression apparatus for a multicarrier system, comprising: a memory; and a processor coupled to the memory, the processor configured to perform the method as described above based on instructions stored in the memory.
According to a fourth aspect of the present disclosure, there is provided a computer readable storage medium storing computer instructions for execution by a processor to perform the method as above.
According to the peak-to-average power ratio suppression method, the peak-to-average power ratio suppression device and the storage medium of the multi-carrier system, the second section of the segmented companding function is improved into the nonlinearity, so that power compensation can be better realized, and the influence on other performances of the system is reduced; meanwhile, the distortion caused by companding is measured by introducing companding distortion power, so that the parameters are optimized, and more suitable comprehensive performance of a companding function balance system is flexibly selected according to the actual scene requirement; the method can effectively reduce the peak-to-average ratio of the multi-carrier system and simultaneously reduce the distortion introduced by companding conversion, thereby improving the comprehensive performance of the multi-carrier system.
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In order to more clearly illustrate the embodiments of the present disclosure or the technical solutions in the prior art, the drawings needed to be used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present disclosure, and other drawings can be obtained by those skilled in the art without inventive exercise.
Fig. 1 is a flow diagram illustrating an embodiment of a method for peak-to-average ratio suppression for a multi-carrier system according to the present disclosure;
fig. 2 is a process diagram of one embodiment of a method of peak-to-average ratio suppression for a multi-carrier system according to the present disclosure;
FIG. 3 is a schematic diagram of an input/output curve of a companding function;
FIG. 4 is a diagram illustrating a simulation relationship between companding distortion and parameters;
fig. 5 is a block diagram illustrating an embodiment of a peak-to-average ratio suppression apparatus for a multi-carrier system according to the present disclosure;
fig. 6 is a block diagram of another embodiment of a peak-to-average ratio suppression apparatus of a multi-carrier system according to the present disclosure.
Detailed Description
The present disclosure now will be described more fully hereinafter with reference to the accompanying drawings, in which exemplary embodiments of the disclosure are shown. The technical solutions in the embodiments of the present disclosure will be clearly and completely described below with reference to the drawings in the embodiments of the present disclosure, and it is obvious that the described embodiments are only a part of the embodiments of the present disclosure, and not all of the embodiments. All other embodiments, which can be derived by one of ordinary skill in the art from the embodiments disclosed herein without making any creative effort, shall fall within the scope of protection of the present disclosure. The technical solution of the present disclosure is described in various aspects below with reference to various figures and embodiments.
The terms "first", "second", and the like are used hereinafter only for descriptive distinction and not for other specific meanings.
Fig. 1 is a flowchart illustrating an embodiment of a method for peak-to-average power ratio suppression of a multi-carrier system according to the present disclosure, as shown in fig. 1:
In one embodiment, the multi-carrier system includes a UFMC system, an OFDM system, an FBMC system, or the like; the multi-carrier signal includes UFMC signals, OFDM signals, FBMC signals, and the like.
And 103, carrying out companding transformation processing on the amplitude of the time domain signal after the multi-carrier signal is modulated by using a companding function so as to inhibit the peak-to-average ratio.
The peak-to-average ratio suppression method of the multi-carrier system of the present disclosure provides a piecewise nonlinear companding scheme, as shown in fig. 2, by performing companding transformation on the amplitude of the time domain signal modulated by the multi-carrier signal, the peak-to-average ratio suppression of the multi-carrier system is achieved, thereby improving the PAPR performance of the system.
In one embodiment, the companding function is a three-stage nonlinear companding function, and the signal amplitude threshold comprises a turning point and a truncation point. The companding change processing of the amplitude of the time domain signal after the modulation of the multi-carrier signal can adopt various methods. For example, when the amplitude of the time domain signal is smaller than the turning point, the amplitude of the time domain signal is kept unchanged; when the amplitude of the time domain signal is greater than or equal to the turning point and less than the truncation point, carrying out nonlinear expansion transformation processing on the amplitude of the time domain signal, and keeping the phase of the time domain signal unchanged to realize power compensation; when the time domain signal amplitude is greater than or equal to the truncation point, the time domain signal amplitude is set to the truncation point, and the phase of the time domain signal is kept unchanged.
By improving the second section of the segmented companding function into nonlinearity, power compensation can be better realized, and the influence on other performances of the system is reduced; meanwhile, the distortion caused by companding is measured by introducing companding distortion power, so that the parameters are optimized, and more suitable comprehensive performance of a companding function balance system is flexibly selected according to the actual scene requirements.
In one embodiment, the increase of the power of a single signal is not only determined by the increased amplitude Δ x, but also influenced by the amplitude x of the signal itself, and when the power increases the same value, the distortion generated by companding the large amplitude signal is smaller than that generated by companding the small signal, so that the design of the companding function should compress the large amplitude signal with a small amplitude, thereby reducing the companding distortion as much as possible.
The companding function is:
wherein A is e And A c Turning point and truncation of companding function respectivelyPoint; a. d is a correction parameter of the companding function, x is a time domain signal after the multi-carrier signal is modulated, and | x | is the amplitude of the time domain signal after the multi-carrier signal is modulated.
The input and output curves of the companding function are shown in fig. 3, and the companding function is divided into three sections: signal amplitude less than A e The small amplitude signal of (2) remains unchanged; amplitude between A e And A c The signals between the two circuits are subjected to nonlinear expansion transformation to realize power compensation, and the phases of the signals are unchanged; amplitude greater than A c Cutting the amplitude to A c The phase remains unchanged.
Determining the signal amplitude threshold corresponding to the segmentation point of the companding function may take a variety of approaches. For example, determining the maximum peak-to-average power ratio (PAPR) of a multi-carrier signal according to preset power amplifier parameters; and calculating the truncation point of the companding function based on the maximum PAPR.
Determining the signal amplitude threshold and the trim parameter corresponding to the segmentation point of the companding function can be done in a number of ways. For example, the constraint condition of the companding function is set to keep the average power of the time domain signal before and after the companding conversion processing; and setting the companding distortion power, and determining a turning point and a correction parameter of the companding function based on the companding distortion power.
In one embodiment, (1) different peak-to-average ratio requirements and error rate requirements of the UFMC system are met under different power amplifier configurations and application scenarios; (2) determining the maximum peak-to-average power ratio (PAPR) of UFMC transmitting signals according to power amplifier parameters in specific scenes preset Setting the definition formula of the PAPR:
the truncation of the companding function is calculated according to the formula as follows:
Ac＝σx10PAPR preset /20。
(3) before and after companding, the average power of the UFMC signal is kept unchanged. However, since | x [ n ] | is a non-stationary rayleigh random process, in order to ensure that the signal power before and after companding remains unchanged, c (x) is also required to be time-varying, that is, the power of the signal at each sampling time remains unchanged before and after companding, which requires calculating and adjusting corresponding parameters of the companding function at each sampling time so that the signal power before and after companding at the sampling time is consistent, which is very difficult to implement; so long as it is ensured that the overall average power of the signal before and after companding remains unchanged, the companding function c (x) should satisfy the constraint:
E{|x c [n]| 2 }＝E{|x[n]| 2 }
wherein x is c [n]Refers to the companded signal, i.e. x c [n]＝c(x[n])。
(4) Introducing a companding distortion power formula:
(5) the constraint conditions in (2) and (3) and the truncation band formula of the companding function are added into the companding distortion power formula in (4), and the expression of the companding distortion obtained by simplification comprises d and A e Two degrees of freedom. An optimal companding function is determined by means of simulation.
As shown in fig. 4, the distortion σ is distorted by companding c 2 The simulation relationship diagram with the parameters d and Ae shows that:
1. when the parameter d is determined, the companding distortion sigma c 2 With A e When the pressure is increased, the transverse coordinate of the lowest point of the curve is the distortion of the companding
Take A at minimum e The value of (a). And when the point of interception A c Has different values corresponding to different minimum companding distortion sigma c 2 And a to minimize companding distortion e Taking the value of (A);
2. when the point of interception A c Determining sigma when different values of d are taken c 2 -A e The curves coinciding at the lowest point, i.e. companding distortion sigma c 2 And A for minimizing companding distortion e Is taken from the truncation point A c And (4) uniquely determining.
Finding d and A that minimize companding distortion by simulation e And obtaining the corresponding optimal companding function. A can be determined by various methods c The value of (a).
In the method for suppressing the peak-to-average power ratio of the multi-carrier system in the embodiment, the second segment of the segmented companding function is improved into the nonlinearity, so that power compensation can be better realized, and the influence on other performances of the system is reduced; the function form of the piecewise nonlinear companding scheme is adopted, and the introduction of a plurality of degrees of freedom in the piecewise nonlinear companding function can balance the comprehensive performance of the system by adjusting the parameters so as to be suitable for different application scenes; introducing companding distortion to measure the influence of companding on the system bit error rate when the parameters are determined, thereby optimizing the parameters; and searching for a parameter optimal solution by means of simulation so as to determine an optimal function. The peak-to-average ratio suppression method of the multi-carrier system in the above embodiment does not depend on the characteristics of the UFMC system, and is supported to be used in other multi-carrier systems such as OFDM and FBMC.
In one embodiment, as shown in fig. 5, the present disclosure provides a peak-to-average ratio suppression apparatus 50 of a multi-carrier system, which includes a function setting module 51, a parameter determination module 52, and a companding processing module 53. The function setting module 51 sets a companding function; the companding function comprises a piecewise nonlinear companding function and is used for carrying out companding conversion processing on the time domain signal after the multi-carrier signal is modulated. The parameter determination module 52 determines a signal amplitude threshold corresponding to a segmentation point of the companding function and a trim parameter of the companding function. The companding processing module 53 performs companding transform processing on the amplitude of the time domain signal after the multi-carrier signal is modulated by using a companding function, so as to perform peak-to-average ratio suppression.
In one embodiment, the companding function is a three-stage nonlinear companding function, and the signal amplitude threshold comprises a turning point and a truncation point. When the time domain signal amplitude is smaller than the turning point, the companding processing module 53 keeps the time domain signal amplitude unchanged; when the time domain signal amplitude is greater than or equal to the turning point and less than the truncation point, the companding processing module 53 performs nonlinear expansion transformation processing on the time domain signal amplitude and keeps the phase of the time domain signal unchanged to realize power compensation; when the time-domain signal amplitude is greater than or equal to the truncation point, the companding processing module 53 sets the time-domain signal amplitude as the truncation point and keeps the phase of the time-domain signal unchanged.
The parameter determining module 52 determines the maximum PAPR of the multi-carrier signal according to preset power amplifier parameters, and calculates the truncation point of the companding function based on the maximum PAPR. The parameter determination module 52 sets the constraints of the companding function so that the average power of the time domain signal before and after the companding transform process is kept constant. The parameter determination module 52 sets the companding distortion power, determines the turning point and the correction parameters of the companding function based on the companding distortion power.
In one embodiment, fig. 6 is a block diagram of another embodiment of a peak-to-average ratio suppression apparatus of a multi-carrier system according to the present disclosure. As shown in fig. 6, the apparatus may include a memory 61, a processor 62, a communication interface 63, and a bus 64. The memory 61 is used for storing instructions, the processor 62 is coupled to the memory 61, and the processor 62 is configured to execute a peak-to-average ratio suppression method for implementing the multi-carrier system described above based on the instructions stored in the memory 61.
The memory 61 may be a high-speed RAM memory, a non-volatile memory (non-volatile memory), or the like, and the memory 61 may be a memory array. The storage 61 may also be partitioned and the blocks may be combined into virtual volumes according to certain rules. The processor 62 may be a central processing unit CPU, or an application Specific Integrated circuit asic, or one or more Integrated circuits configured to implement the peak-to-average ratio suppression method of the multi-carrier system of the present disclosure.
In one embodiment, the present disclosure provides a computer-readable storage medium storing computer instructions that, when executed by a processor, implement a peak-to-average ratio suppression method of a multi-carrier system as in any of the above embodiments.
The peak-to-average power ratio suppression method, device and storage medium for a multi-carrier system provided by the above embodiments can better implement power compensation and reduce the influence on other performances of the system by improving the second segment of the segmented companding function into nonlinearity; meanwhile, the distortion caused by companding is measured by introducing companding distortion power, so that the parameters are optimized, and more suitable comprehensive performance of a companding function balance system is flexibly selected according to the actual scene requirement; the method has lower implementation complexity, can effectively reduce the peak-to-average ratio of the multi-carrier system, and simultaneously reduce the distortion introduced by companding conversion, thereby improving the comprehensive performance of the multi-carrier system.
The method and system of the present disclosure may be implemented in a number of ways. For example, the methods and systems of the present disclosure may be implemented by software, hardware, firmware, or any combination of software, hardware, and firmware. The above-described order for the steps of the method is for illustration only, and the steps of the method of the present disclosure are not limited to the order specifically described above unless specifically stated otherwise. Further, in some embodiments, the present disclosure may also be embodied as programs recorded in a recording medium, the programs including machine-readable instructions for implementing the methods according to the present disclosure. Thus, the present disclosure also covers a recording medium storing a program for executing the method according to the present disclosure.
The description of the present disclosure has been presented for purposes of illustration and description, and is not intended to be exhaustive or limited to the disclosure in the form disclosed. Many modifications and variations will be apparent to practitioners skilled in this art. The embodiment was chosen and described in order to best explain the principles of the disclosure and the practical application, and to enable others of ordinary skill in the art to understand the disclosure for various embodiments with various modifications as are suited to the particular use contemplated.
Claims (14)
1. A peak-to-average ratio suppression method of a multi-carrier system comprises the following steps:
setting a companding function; the companding function comprises a piecewise nonlinear companding function and is used for carrying out companding conversion processing on a time domain signal after the multi-carrier signal is modulated;
determining a signal amplitude threshold corresponding to a segmentation point of the companding function and a trimming parameter of the companding function;
and performing companding transformation processing on the amplitude of the time domain signal after the multi-carrier signal is modulated by using the companding function so as to suppress the peak-to-average ratio.
2. The method of claim 1, wherein the companding function is a three-segment nonlinear companding function, the signal amplitude threshold comprising: turning points and truncation points; the companding processing of the amplitude of the time domain signal after the modulation of the multi-carrier signal comprises:
when the time domain signal amplitude is smaller than the turning point, keeping the time domain signal amplitude unchanged;
when the time domain signal amplitude is greater than or equal to the turning point and smaller than the interception point, carrying out nonlinear expansion transformation processing on the time domain signal amplitude, and keeping the phase of the time domain signal unchanged so as to realize power compensation;
when the time domain signal amplitude is larger than or equal to the truncation point, the time domain signal amplitude is set as the truncation point, and the phase of the time domain signal is kept unchanged.
3. The method of claim 2, the determining a signal amplitude threshold corresponding to a segmentation point of the companding function comprising:
determining the maximum peak-to-average power ratio (PAPR) of the multi-carrier signal according to preset power amplifier parameters;
calculating a truncation point of the companding function based on the maximum PAPR.
4. The method of claim 2, the determining a signal amplitude threshold corresponding to a segmentation point of the companding function and modifying the parameter comprising:
setting a constraint condition of the companding function so as to keep the average power of the time domain signal before and after companding conversion processing unchanged;
and setting companding distortion power, and determining the turning point and the correction parameter of the companding function based on the companding distortion power.
5. The method of claim 4, wherein,
the companding function is:
wherein A is e And A c Respectively an inflection point and an interception point of the companding function; a. d are correction parameters of the companding function respectively, and x is a time domain signal after the multi-carrier signal is modulated.
6. The method of any one of claims 1 to 5,
the multi-carrier system includes: UFMC system, OFDM system, FBMC system;
the multi-carrier signal comprises: UFMC signals, OFDM signals, FBMC signals.
7. A peak-to-average power ratio suppressing apparatus for a multi-carrier system, comprising:
the function setting module is used for setting a companding function; the companding function comprises a piecewise nonlinear companding function and is used for carrying out companding conversion processing on the time domain signal after the multi-carrier signal is modulated;
a parameter determining module for determining a signal amplitude threshold corresponding to a segmentation point of the companding function and a trimming parameter of the companding function;
and the companding processing module is used for carrying out companding conversion processing on the amplitude of the time domain signal after the multi-carrier signal is modulated by using the companding function so as to inhibit the peak-to-average ratio.
8. The apparatus of claim 7, wherein the companding function is a three-stage nonlinear companding function, the signal amplitude threshold comprising: turning points and truncation points;
the companding processing module is used for keeping the amplitude of the time domain signal unchanged when the amplitude of the time domain signal is smaller than the turning point; when the time domain signal amplitude is greater than or equal to the turning point and smaller than the interception point, carrying out nonlinear expansion transformation processing on the time domain signal amplitude, and keeping the phase of the time domain signal unchanged so as to realize power compensation; when the time domain signal amplitude is larger than or equal to the truncation point, the time domain signal amplitude is set to the truncation point, and the phase of the time domain signal is kept unchanged.
9. The apparatus of claim 8, wherein,
the parameter determination module is specifically used for determining the maximum peak-to-average power ratio (PAPR) of the multi-carrier signal according to preset power amplifier parameters; calculating a truncation point of the companding function based on the maximum PAPR.
10. The apparatus of claim 8,
the parameter determining module is specifically configured to set a constraint condition of the companding function, so that average power of the time-domain signal before and after companding conversion is kept unchanged; and setting companding distortion power, and determining the turning point and the correction parameter of the companding function based on the companding distortion power.
11. The apparatus of claim 10, wherein,
the companding function is:
wherein A is e And A c Respectively an inflection point and an interception point of the companding function; a. d are correction parameters of the companding function respectively, and x is a time domain signal after the multi-carrier signal is modulated.
12. The apparatus of any one of claims 7 to 11,
the multi-carrier system includes: UFMC system, OFDM system, FBMC system;
the multi-carrier signal comprises: UFMC signals, OFDM signals, FBMC signals.
13. A peak-to-average ratio suppressing apparatus for a multicarrier system, comprising:
a memory; and a processor coupled to the memory, the processor configured to perform the method of any of claims 1-6 based on instructions stored in the memory.
14. A computer-readable storage medium that non-transitory stores computer instructions for execution by a processor to perform the method of any one of claims 1-6.
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2021
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| CN101005474A (en) * | 2006-01-17 | 2007-07-25 | 中山大学 | New compression extension method for reducing OFDM signal peak to average ratio |
| US20120148261A1 (en) * | 2010-12-14 | 2012-06-14 | Zte Corporation | Method and system for optical orthogonal frequency division multiplexing with companding transform |
| CN106685876A (en) * | 2016-11-14 | 2017-05-17 | 西南石油大学 | Multidimensional PTS method for reducing peak-to-average power ratio of OFDM (orthogonal frequency division multiplexing) system |
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