CN102223341B - Method for reducing peak-to-average power ratio of frequency domain forming OFDM (Orthogonal Frequency Division Multiplexing) without bandwidth expansion - Google Patents
Method for reducing peak-to-average power ratio of frequency domain forming OFDM (Orthogonal Frequency Division Multiplexing) without bandwidth expansion Download PDFInfo
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Abstract
The invention discloses a method for reducing a peak-to-average power ratio of frequency domain forming OFDM (Orthogonal Frequency Division Multiplexing) without bandwidth expansion and mainly solves the problem that the peak-to-mean ratio performance of an OFDM signal showed in the prior art is too low. The method disclosed by the invention comprises the following steps of: (1) carrying out a serial-to-parallel conversion on input signals by a signal processor and obtaining signal sequences in parallel transmission; (2) multiplying a diagonal matrix and a square matrix, made up of different Chu sequences, to acquire a pre-coding matrix, and weighing the signal sequences by using the pre-coding matrix; (3) constructing a Gaussian-like function as a frequency domain forming function, and weighing the signals; (4) after carrying out a zero insertion operation and a rapid inverse Fourier transform on each data symbol, performing a parallel-to-serial conversion on the signal sequences and acquiring OFDM transmission signals suitable for transmission. The method for reducing the peak-to-average power ratio of frequency domain forming OFDM (Orthogonal Frequency Division Multiplexing) without bandwidth expansion, disclosed by the invention, has the advantages of low complexity and high utilization rate of frequency spectrum; and the peak-to-average ratio of the signals can be reduced remarkably without losing bit error rate of received signals, and the power utilization rate of a transmitter of a communication system is improved.
Description
Technical field
The invention belongs to communication technical field, further relate to OFDM (orthogonal frequency division multiplexing, OFDM) signal peak average power ratio (Peak to Average Power Ratio in system, PAPR, be called for short peak-to-average force ratio) method that reduces, can be used for improving the transmission performance of ofdm system.
Background technology
Compare with conventional art, the OFDM transmission technology can provide larger coverage, better transmission quality, higher data rate and spectrum efficiency.Yet, because the data symbol in the OFDM transmission system is to be formed by stacking by the sub-carrier signal of a plurality of independences through ovennodulation, when each data-signal sub-carrier phase is identical or close, signal just can be subject to the modulation of identical initial phase signal, thereby produce larger instantaneous power peak value, bring higher peak-to-average force ratio.Because the dynamic range of general power amplifier is all limited, when the higher signal of peak-to-average force ratio passes through high power amplifier, disturb and the inband signaling distortion for fear of nonlinear distortion, the spread spectrum of signal, power amplifier must be worked in the back-off mode, greatly reduces operating efficiency and the power utilization of amplifier.Therefore, in order better to bring into play the advantage of OFDM technology, must reduce the peak-to-average force ratio of signal transmission in ofdm system.
The people such as Imran Baig are at article " A New ZCT Precoding Based SLM Technique for PAPR Reduction in OFDM Systems " (Circuits and Systems (APCCAS), 2010 IEEE Asia Pacific Conference on, Page (s): propose a kind of peak-to-average force ratio that reduces the ofdm system signal transmission based on the selectivity mapping method of Zadoff-Chu matrixing 1123-1126).The implementation step of the method is: the first, and the transmitting terminal signal processor carries out serial to parallel conversion to input signal, obtains the burst of a parallel transmission; The second, burst be multiply by respectively V different phase rotation coefficient, obtain V different weighted signal sequence, weighted signal sequence input ZCT precoder is carried out the ZCT conversion; The 3rd, after all are carried out quick inverse Fourier transform through the weighted signal sequence of ZCT conversion, carry out parallel serial conversion; The 4th, the weighted signal of selecting to have minimum peak-to-average force ratio is launched, and realizes reducing the purpose of signal transmission peak-to-average force ratio.The method has reduced the peak-to-average force ratio of signal transmission to a certain extent, and under ideal state, there is no the performance loss of bit error rate.In specific communication scenes, can satisfy the user to the performance requirement of communication system.
The weak point of the method is: the first, and owing to will burst being carried out repeatedly fast Fourier transform and matrix multiplication operation, the computational complexity of the method is too high; The second, the method needs the side information of signal transmission, in case receiving terminal mistake occurs to the reception of side information, the performance of BER of signal can sharply descend; The 3rd, the method is large to the reduction insufficient amplitude of peak-to-average force ratio, can't satisfy most of mobile subscriber terminal equipment to the requirement of peak-to-average force ratio performance number.
The patent application that Beijing Jiaotong University proposes " reduces the method for ofdm system peak-to-average force ratio " (the applying date: on January 9th, 2009 based on the virtual carrier preservation algorithm, application number: 200910076602.4, publication number: a kind of method that discloses reduction ofdm system signal peak-to-average ratio based on virtual carrier CN 101459648A).The implementation step of the method is: the first, the special frequency-region signal that sets is carried out quick inverse Fourier transform, and the time-domain signal that obtains after conversion is deposited in memory; The second, the frequency-region signal that carries useful information is carried out quick inverse Fourier transform, obtain time-domain signal; The 3rd, the peak-to-average force ratio value of the time-domain signal of calculating useful information is as the initial value of peak-to-average force ratio; The the four, the four, the time-domain signal of useful information and the time-domain signal of virtual carrier are carried out iterative addition, and compare with the peak-to-average force ratio initial value, obtain to have the time-domain signal of minimum peak-to-average force ratio.The method is compared with traditional method based on the virtual subnet carrier wave, and the computational complexity of communication system is less, and can obtain better peak-to-average force ratio performance and performance of BER.
The weak point of the method is: the first, and large to the reduction insufficient amplitude of peak-to-average force ratio, can't satisfy most of mobile subscriber terminal equipment to the requirement of peak-to-average force ratio performance number; The second, the method need to take the extra signal bandwidth of communication system and transmitting power, has reduced the availability of frequency spectrum and the power utilization of communication system.
The people such as X.Zhu are at article " Reducing the peak-to-average power ratio using unitary matrix transformation " (IET Commun., 2009, Vol.3, Iss.2, pp.161-171) in a kind of method of the reduction ofdm system signal peak-to-average ratio based on the precoding of IDFT matrix is proposed.The implementation step of the method is: the first, and the transmitting terminal signal processor carries out serial to parallel conversion to input signal, obtains the burst of a parallel transmission; The second, the mode of discrete inverse Fourier transform matrix with premultiplication is weighted burst, complete the precoding to signal; The 3rd, after the signal through precoding is carried out quick inverse Fourier transform, carry out launching after parallel serial conversion.Owing to having adopted unitary matrice to carry out precoding, the method is compared with traditional method for suppressing peak to average ratio, and the computational complexity of communication system is less, and can not cause the performance of BER loss.
The weak point of the method is large to the reduction insufficient amplitude of peak-to-average force ratio, can't satisfy most of mobile subscriber terminal equipment to the requirement of peak-to-average force ratio performance number.
Summary of the invention
The object of the invention is to overcome the deficiency of above-mentioned prior art, provide a kind of frequency domain shaping OFDM peak-to-average ratio reducing method without bandwidth expansion for ofdm system, peak-to-average force ratio that not only can decrease OFDM signal transmission, improve the power utilization of transmitter, and can reduce the computational complexity of system; Do not need the outer signal bandwidth of occupying volume and transmission side information, under rayleigh fading, when receiving terminal adopts least mean-square error balanced, performance of BER that can elevator system.
The present invention realizes that the concrete steps of above-mentioned purpose are as follows:
(1) the transmitting terminal signal processor carries out serial to parallel conversion to input signal, obtains the burst of a parallel transmission;
(2) frequency domain precoding
2a) structure pre-coding matrix: the M rank diagonal matrix that two are made of different Chu sequences and M rank square formation multiply each other, and obtain pre-coding matrix, and M is the length of OFDM data symbol;
2b) precoding: the mode of pre-coding matrix with premultiplication is weighted the burst that obtains in step (1), completes the frequency domain precoding to input signal;
(3) frequency domain is shaped
3a) be configured to shape function: class Gaussian function of transmitting terminal signal processor structure is as the frequency domain shaping function;
3b) frequency domain is shaped: the mode of frequency domain shaping function with premultiplication is weighted the input signal of completing the frequency domain precoding, and the frequency domain of completing input signal is shaped;
(4) obtain signal transmission
4a) signal processor carries out the zero insertion operation to the OFDM data symbol of completing the frequency domain shaping, then carries out quick inverse Fourier transform;
4b) burst is carried out parallel serial conversion, obtain the OFDM signal transmission that is suitable for launching;
The present invention compared with prior art has the following advantages:
The first, because not needing that signal is carried out repeatedly fast contrary Fourier, the present invention do not change, overcome the too high shortcoming of computational complexity that prior art exists, have advantages of that complexity is low.
Second, because the present invention does not need the outer signal bandwidth of occupying volume and transmission side information, overcome the low shortcoming of the availability of frequency spectrum that prior art exists, avoided the reduction due to the performance of BER of side information error of transmission appearance, have advantages of that the system spectrum utilance is high and bit error rate is low, compare with traditional OFDM technology, under multipath channel, when receiving terminal adopted least mean-square error balanced, performance of BER can promote to some extent.
The 3rd, the present invention has overcome the large shortcoming of ofdm signal peak-to-average force ratio reduction insufficient amplitude that prior art exists, have advantages of that peak-to-average force ratio reduces Amplitude Ratio larger, improved the power utilization of communication system transmitter, can satisfy mobile subscriber terminal equipment to the requirement of peak-to-average force ratio performance number.
Description of drawings
Fig. 1 is flow chart of the present invention;
Fig. 2 is the effect emulation figure of peak-to-average force ratio performance of the present invention;
Fig. 3 is the effect emulation figure that the present invention receives the signal bit error rate.
Embodiment
With reference to accompanying drawing 1, implementation method of the present invention is described further:
Step 1, serial to parallel conversion
The transmitting terminal signal processor carries out serial to parallel conversion to input signal, obtains the burst of a parallel transmission, and the form of this burst is M rank matrixes, and M is the length of OFDM data symbol, and in the embodiment of the present invention, the value of M is 1024.
2a) structure pre-coding matrix.Signal processor multiplies each other two M rank diagonal matrix A and M rank square formation Φ that are made of different Chu sequences, obtains pre-coding matrix, and A and Φ be respectively according to following formula construction,
Wherein, A is the diagonal matrix that constructs, and e is the truth of a matter of natural logrithm, and j is imaginary unit, and M is the length of OFDM data symbol, and r is that the Chu sequence generates the factor, and is relatively prime with M, r
-1Be the mould antielement of r, i.e. rr
-1=1 (mod M) that is to say r
-1After equaling 1, r and M with the product of r after to the M delivery and determining, r
-1Also unique definite; In the embodiment of the present invention, the value of r is 11, r
-1Value be that the value of 931, M is 1024;
Wherein, Φ is the diagonal matrix that constructs, and e is the truth of a matter of natural logrithm, and j is imaginary unit, and M is the length of OFDM data symbol, and r is that the Chu sequence generates the factor, and is relatively prime with M, r
-1Be the mould antielement of r, i.e. rr
-1=1 (mod M) that is to say r
-1After equaling 1, r and M with the product of r after to the M delivery and determining, r
-1Also unique definite; In the embodiment of the present invention, the value of r is 11, r
-1Value be that the value of 931, M is 1024;
2b) precoding.The mode of pre-coding matrix with premultiplication is weighted the burst that obtains in step (1), completes the frequency domain precoding to input signal.
Step 3, frequency domain is shaped
3a) be configured to shape function.The transmitting terminal signal processor according to class Gaussian function of following formula construction as the frequency domain shaping function,
Wherein, the good class Gaussian function of G (k) expression structure, α and β are the amplitude controlling elements of class Gaussian function, and e is the truth of a matter of natural logrithm, and μ and k are the power exponent certainty factor, and M is the length of OFDM data symbol; The value of α, β and μ can change according to system requirements, and the span of k is 0～M-1, and in the embodiment of the present invention, the value of α is that the value of 2, β is that the value of 1.65, μ is that the value of 20, M is 1024;
3b) carrying out frequency domain is shaped.The mode of frequency domain shaping function with premultiplication is weighted the input signal of completing the frequency domain precoding, and the frequency domain of completing input signal is shaped.
4a) signal processor to each length be in the middle of the OFDM data symbol of M M/2 to insert at place N-M individual 0, then carry out the quick inverse Fourier transform of N point, in the embodiment of the present invention, the value of N is 2048;
4b) signal processor carries out parallel serial conversion to burst, obtains the OFDM signal transmission that is suitable for launching.
Effect of the present invention can further illustrate by following emulation:
The Matlab7.10.0 simulation software is used in emulation of the present invention, the setting of system parameters is consistent with parameter used in embodiment, the standard of formulating according to Euroscience and 207 working groups of technical research association, transmission channel in emulation of the present invention is 6 footpath Rayleigh channels of COST207RA model, and receiving terminal adopts the balanced way of least mean-square error; Fig. 2 is the peak-to-average force ratio performance curve that emulation obtains, wherein, transverse axis represents ofdm signal peak-to-average force ratio threshold value, the dB of unit, the longitudinal axis represents complementary cumulative distribution function, phase rotation coefficient number based on the selective mapping of Zadoff-Chu matrixing is 8, is 128 based on the virtual subnet carrier number of the method for virtual subnet carrier wave; Fig. 3 is the performance of BER curve of the reception signal that obtains of emulation, wherein, transverse axis represents signal to noise ratio, the dB of unit, the longitudinal axis represents to receive the bit error rate of signal, phase rotation coefficient number based on the selective mapping of Zadoff-Chu matrixing is 8, is 128 based on the virtual subnet carrier number of the method for virtual subnet carrier wave.
By the simulation result of Fig. 2 as seen, the present invention is 10 at complementary cumulative distribution function
-4The time, the ofdm system signal peak-to-average ratio can be reduced near 4dB, and compare based on the method for virtual subnet carrier wave, the peak-to-average force ratio gain of 6dB is nearly arranged; With compare based on the method for IDFT matrix precoding, have over the gain of the peak-to-average force ratio of 4dB; Compare with the selectivity mapping method based on the Zadoff-Chu matrixing, the peak-to-average force ratio gain over 3.5dB is arranged.As seen, the present invention compared with prior art can reduce the peak-to-average force ratio of ofdm system signal transmission significantly.
By the simulation result of Fig. 3 as seen, the present invention with based on IDFT matrix method for precoding and almost identical based on the performance of BER of the selectivity mapping method of Zadoff-Chu matrixing; Requiring when the performance of BER of system is 10
-4The time, the present invention with compare based on the method for virtual subnet carrier wave, the snr gain of 16dB is arranged; Requiring when the performance of BER of system is 10
-5The time, the present invention with compare based on the method for virtual subnet carrier wave, the snr gain over 20dB is arranged; As seen, the present invention compares with existing advanced technology, can significantly reduce the peak-to-average force ratio of signal in the situation that do not lose reception signal bit error rate, and compare with the part prior art, has significantly improved the performance of BER that receives signal.
Claims (5)
1. the frequency domain shaping OFDM peak-to-average ratio reducing method without bandwidth expansion, comprise the steps:
(1) the transmitting terminal signal processor carries out serial to parallel conversion to input signal, obtains the burst of a parallel transmission;
(2) frequency domain precoding
2a) structure pre-coding matrix: the M rank diagonal matrix that two are made of different Chu sequences and M rank square formation multiply each other, and obtain pre-coding matrix, and M is the length of OFDM data symbol;
2b) precoding: the mode of pre-coding matrix with premultiplication is weighted the burst that obtains in step (1), completes the frequency domain precoding to input signal;
(3) frequency domain is shaped
3a) be configured to shape function: class Gaussian function of transmitting terminal signal processor structure is as the frequency domain shaping function;
3b) frequency domain is shaped: the mode of frequency domain shaping function with premultiplication is weighted the input signal of completing the frequency domain precoding, and the frequency domain of completing input signal is shaped;
(4) obtain signal transmission
4a) signal processor carries out the zero insertion operation to the OFDM data symbol of completing the frequency domain shaping, then carries out quick inverse Fourier transform;
4b) burst is carried out parallel serial conversion, obtain the OFDM signal transmission that is suitable for launching.
2. the frequency domain shaping OFDM peak-to-average ratio reducing method without bandwidth expansion according to claim 1, is characterized in that step 2a) described in M rank diagonal matrix, according to following formula construction:
Wherein, A is the diagonal matrix that constructs, and e is the truth of a matter of natural logrithm, and j is imaginary unit, and M is the length of OFDM data symbol, and r is that the Chu sequence generates the factor, and is relatively prime with M, r
-1Be the mould antielement of r, i.e. rr
-1=1 (modM) that is to say r
-1After equaling 1, r and M with the product of r after to the M delivery and determining, r
-1Also unique definite.
3. the frequency domain shaping OFDM peak-to-average ratio reducing method without bandwidth expansion according to claim 1, is characterized in that step 2a) described in M rank square formation, according to following formula construction:
Wherein, Φ is the matrix that constructs, and e is the truth of a matter of natural logrithm, and j is imaginary unit, and M is the length of OFDM data symbol, and r is that the Chu sequence generates the factor, and is relatively prime with M, r
-1Be the mould antielement of r, namely rr-1=1 (modM), that is to say r
-1After equaling 1, r and M with the product of r after to the M delivery and determining, r
-1Also unique definite.
4. the frequency domain shaping OFDM peak-to-average ratio reducing method without bandwidth expansion according to claim 1, is characterized in that step 3a) described in the class Gaussian function, according to following formula construction:
Wherein, the good class Gaussian function of G (k) expression structure, α and β are the amplitude controlling elements of class Gaussian function, and e is the truth of a matter of natural logrithm, and μ and k are the power exponent certainty factor, and M is the length of OFDM data symbol.
5. the frequency domain shaping OFDM peak-to-average ratio reducing method without bandwidth expansion according to claim 1, it is characterized in that, step 4a) described in the OFDM data symbol is carried out zero insertion operation is that N-M 0 is inserted into M/2 place in the middle of the data symbol that length is M, N is counting of quick inverse Fourier transform.
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| CN106385394A (en) * | 2016-09-23 | 2017-02-08 | 西安电子科技大学 | Method for suppressing peak-to-average ratio of orthogonal frequency division multiplexing (OFDM) signals |
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| CN105306403A (en) * | 2015-10-28 | 2016-02-03 | 西安邮电大学 | Method and system for reducing peak-to-average ratio of transmitting signal of OFDM system |
| CN106027444B (en) * | 2016-05-13 | 2019-03-01 | 电子科技大学 | A kind of method for suppressing peak to average ratio of subcarrier-modulated ofdm system |
| CN107222446B (en) * | 2017-06-28 | 2019-12-17 | 电子科技大学 | Large-scale MIMO-OFDM peak-to-average power ratio reduction system and method thereof |
| CN108365875B (en) * | 2018-03-01 | 2020-09-11 | 中国科学院上海高等研究院 | Method for reducing PAPR (peak to average power ratio) of multiple antennas based on precoding and MIMO (multiple input multiple output) system |
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| CN113225114B (en) * | 2021-04-16 | 2022-03-04 | 中原工学院 | Wireless communication signal sending and receiving method based on precoding joint optimization |
| CN116016079A (en) * | 2022-12-05 | 2023-04-25 | 西南交通大学 | Signal transmission method, system, equipment and storage medium |
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| US7876806B2 (en) * | 2005-03-24 | 2011-01-25 | Interdigital Technology Corporation | Orthogonal frequency division multiplexing-code division multiple access system |
| CN101459648A (en) * | 2009-01-09 | 2009-06-17 | 北京交通大学 | Method for lowering PAR of OFDM system based on virtual carrier preservation algorithm |
| CN101635618A (en) * | 2009-08-21 | 2010-01-27 | 广州杰赛科技股份有限公司 | OFDMA downlink communication method and system based on FFT precoding |
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| CN106385394B (en) * | 2016-09-23 | 2019-03-26 | 西安电子科技大学 | A method of inhibiting OFDM signal peak-to-average force ratio |
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