CN106789814A - A kind of low complex degree SLM algorithms of reduction FBMC OQAM systems PAPR - Google Patents

A kind of low complex degree SLM algorithms of reduction FBMC OQAM systems PAPR Download PDF

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CN106789814A
CN106789814A CN201611200560.7A CN201611200560A CN106789814A CN 106789814 A CN106789814 A CN 106789814A CN 201611200560 A CN201611200560 A CN 201611200560A CN 106789814 A CN106789814 A CN 106789814A
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papr
fbmc
signal
oqam
slm
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CN106789814B (en
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吴建霞
杨永立
潘畅
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Wuhan University of Science and Engineering WUSE
Wuhan University of Science and Technology WHUST
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2602—Signal structure
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2614—Peak power aspects
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/26—Systems using multi-frequency codes
    • H04L27/2601—Multicarrier modulation systems
    • H04L27/2697—Multicarrier modulation systems in combination with other modulation techniques
    • H04L27/2698—Multicarrier modulation systems in combination with other modulation techniques double density OFDM/OQAM system, e.g. OFDM/OQAM-IOTA system
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/32—Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
    • H04L27/34—Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
    • H04L27/3488—Multiresolution systems

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  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Digital Transmission Methods That Use Modulated Carrier Waves (AREA)

Abstract

The invention discloses a kind of low complex degree SLM algorithms of reduction FBMC OQAM systems PAPR, i.e. low complex degree dispersion selected mapping method (LD SLM) algorithm, comprise the following steps：S1, U length of generation are the phase place vector of N；S2, current data block is multiplied with rotating vector；S3, signal is sampled, filtered and is modulated；S4, computation interval are middle two continuous symbol cycle Tsc；Rotating vector u when S5, preservation PAPR values are minimummin；S6, according to uminOptimal rotating vector is selected, input signal matrix is updatedSignal Xs of the return to step S2 to the next signal cyclem+1Repeat the above steps, until m=M 1.The present invention, with the characteristic for reducing system PAPR, it is contemplated that the natural lap of FBMC OQAM signals, shortens search time while optimized algorithm complexity, specific dispersion selected mapping method (DSLM) algorithm in complexity advantageously.

Description

A kind of low complex degree SLM algorithms of reduction FBMC-OQAM systems PAPR
Technical field
The present invention relates to a kind of optimization method of the communication technology, more particularly to a kind of reduction FBMC-OQAM systems PAPR Low complex degree SLM algorithms.
Background technology
Filter bank multi-carrier (FBMC) is that a kind of spectrum efficiency is high, implementation complexity is fine, multicarrier without synchronization Transmission plan.Offset Quadrature Amplitude modulation (OQAM) can eliminate the overlapping inter-carrier interference that will be brought of each subband in FBMC systems (ICI).FBMC is combined with OQAM, with many OFDM technologies without advantage, such as outstanding frequency positioning and relatively low work( Rate spectrum density (PSD) secondary lobe etc., 5G wireless access technologys (RAT) are more suitable for than OFDM.FBMC-OQAM systems are increasingly becoming wirelessly The leader of electric wave 5G wireless access technologys (RAT) on the horizon.As OFDM (OFDM), FBMC-OQAM In the presence of PAPR higher, this will reduce the efficiency of high power amplifier (HPA), cause distorted signals, spread spectrum, systematic function Decline.So, FBMC-OQAM systems PAPR reduces the key subjects that technology is current research.
PAPR reductions technology can be divided into following several：Limiting technology, coding techniques, signal scrambling technique, self-adapted pre-distortion Technology and DFT (DFT) spread spectrum.Limiting technology be near peak value using amplitude limit or non-linear saturation come Reduce PAPR, including block zoom technology, slicing and filtering technique, Fourier's mapping techniques and decision-aided reconstruction technique；Compile Code technology is to be chosen so that PAPR is minimum or PAPR reduces code word, it is possible to use Colay complementary series, M sequence and Hadamard yards；Signal scrambling technique is that input data is scrambled, and launches the data block with minimum PAPR；Self adaptation is lost in advance True technology can compensate the nonlinear effect of HPA in ofdm system.
FBMC-OQAM cannot use the fine method for reducing PAPR in OFDM due to its overlay structure.At present, there is scholar The scheme of the FBMC-OQAM systems reduction PAPR of PAM symbols is discussed, but these schemes are only limitted to PAM symbols and BER performances It is poor.Also scholar realizes the PAPR for reducing FBMC-OQAM systems with the shearing scheme of iterative compensation, but the system is needed A receiver for complexity is designed to meet the compensation of shearing noise.Multimode combined optimization (MBJO) technology and sliding window Reserved (SWTR) technology of voice also all applies in the PAPR reductions of FBMC-OQAM systems at present, but they have one it is higher Complexity.There is scholar to propose a kind of selected mapping method of overlap (OSLM) method, propose the independence between continuous symbol Assuming that invalid, it is contemplated that the natural overlap of FBMC-OQAM, but there are huge an internal memory and computation complexity.Later again There is scholar to propose a kind of dispersion selected mapping method (DSLM) method, this method is similar with traditional SLM, while considering The plyability of FBMC-OQAM, solves the property of FBMC-OQAM signal time dispersions, but calculating is interval interior [0,4T] PAPR values, complexity is higher.Based on above statement, the present invention is improved on the basis of SLM algorithms, rationally utilizes The overlap property and power distribution rule of FBMC signals, it is proposed that a kind of low complex degree SLM of reduction FBMC-OQAM systems PAPR Algorithm, i.e. LD-SLM algorithms.
The content of the invention
Emulated from the mean power to FBMC-OQAM signals, the main integrated distribution of energy of each signal period exists In [T, 3T], the present invention proposes a kind of low complex degree SLM algorithms of reduction FBMC-OQAM systems PAPR, i.e. LD-SLM algorithms. Traditional SLM algorithms only calculate [0, T] interval interior all points PAPR values, herein interval search minimum PAPR values, and this is cannot Matching FBMC-OQAM signal overlap properties, as a result cause effectively reduce FBMC-OQAM system PAPR, the present invention is being passed It is improved on the basis of the SLM of system, (T is symbol week to concentrate on middle [T, 3T] according to FBMC-OQAM signal power distributions Phase) it is interval the characteristics of, calculating concentrates on the PAPR values of interval [T, 3T] internal symbol, finds out minimum PAPR values in interval [T, 3T] next The optimal rotation symbol of selection.
A kind of low complex degree SLM algorithms of reduction FBMC-OQAM systems PAPR, comprise the following steps：
S1, rotating vector is initialized first, U length of generation is the phase place vector of N：
Wherein：N ∈ [0, N-1], u ∈ [0, U-1]；
S2, current data block is multiplied with rotating vector, each input block XmRotating vector phases all different from U Multiply：
Wherein：The point-to-point multiplication of representing matrix；
S3, signal is sampled, filtered and is modulated, because the overlap property of FBMC-OQAM signals is, it is necessary to consider current Signal before data block, so as to obtain following signal：
Wherein：M ∈ [0,2 π], t ∈ [0, (m+1/2) T+4T]；
S4, calculated according to following equation signal xu (t) PAPR, computation interval is Tc；
S5, the result calculated according to PAPR, select optimal rotation approach, obtain the rotating vector when PAPR values are minimum and compile Number, i.e.,And by uminU is stored in as side informationSI=[USI umin] in；
S6, final updating input, according to uminOptimal rotating vector is selected, is multiplied with current data block, update input signal MatrixIt is then back in step S2, to the signal X in next signal cyclem+1Repeat the above steps, Until m=M-1.
The LD-SLM algorithms only calculate the PAPR values for concentrating on interval [T, 3T] internal symbol, find out in interval [T, 3T] most Small PAPR values select most preferably to rotate symbol, are not interval SLM algorithms [0, T], nor [0,4T] of DSLM is interval.
A kind of low complex degree SLM algorithms of reduction FBMC-OQAM systems PAPR proposed by the present invention, it is complicated in optimized algorithm While spending, the characteristic with the system of reduction PAPR both take into account the natural lap of FBMC-OQAM signals, shorten again Search time, than DSLM algorithm on time complexity advantageously, compared with DSLM algorithms, due to before calculating PAPR values Step is identical, that is, the FBMC signals being input into need 2N (L through over-sampling and filtering by wave filterh+1)(MT0+Lh- 1) individual real number , then with the rotating vector of generation be multiplied, it is necessary to UN (L each data block by multiplicationh+ T/2) individual complex multiplication；To current data Block and before data block are modulated needs UN ((2m+1) T/2+4T) individual complex multiplication；2UNT is needed when calculating PAPR valuescIt is individual Real multiplications and NUTcIndividual real addition, maximizing needs NUTcSecondary lookup is compared, and computing of averaging and take the logarithm is respectively necessary for 1 real division and UNTcSecondary logarithm operation, and 1 real multiplications, herein remove 1 real multiplications, real addition, real number Method, logarithm operation and once search comparison operation be denoted as 1 real arithmetic；Therefore, difference when calculating PAPR is mainly compared, I.e. to formulaRealize that algorithm is different, therefore the computation complexity of DSLM algorithms is：CDSLM= 16MNUT+4MNUT+M, i.e. CDSLM=20MNUT+M；LD-SLM algorithms proposed by the present invention, sampling, filtering and and twiddle factor The process of multiplication is identical with DSLM, and due to when optimal twiddle factor is asked for, PAPR computation intervals are [T, 3T], thus rotation and Amount of calculation when calculating PAPR is otherwise varied, and the computation complexity for low complex degree SLM algorithms is：CLD-SLM=8MNUT+ 2MNUT+M, i.e. CLD-SLM=10MNUT+M；In formula：N is subcarrier number；M is data block number；T is symbol width/symbol week Phase；K is decimation factor/overlap factor；LhIt is filter impulse responses length；T0It is sampling period, TcTaken to calculate PAPR values Interval, m is current data block, and m ∈ [0, M-1]；By analyzing contrast the above results, LD-SLM proposed by the present invention Algorithm reduces 10MNUT real arithmetic, C than DSLM algorithm in complexityLD-SLM≈ 0.5CDSLM, computation complexity reduction is about 50%, a kind of low complex degree SLM algorithms of reduction FBMC-OQAM systems PAPR proposed by the present invention, due to considering The plyability of FBMC-OQAM symbols, i.e. signal major part energy concentrated on for the 2nd and the 3rd continuous two FBMC-OQAM symbols week In phase, therefore can be good at being applied to FBMC-OQAM systems, in the PAPR of the system of reduction, LD-SLM proposed by the present invention is calculated With DSLM algorithms closely, and computation complexity reduces by 10MNUT real arithmetic compared with DSLM algorithms for the performance of method, i.e., Computation complexity reduction about 50%.
Brief description of the drawings
Fig. 1 is FBMC-OQAM signal models；
Fig. 2 is the continuous 4 data block power distributions of FBMC-OQAM；
Fig. 3 is SLM technology frame charts；
Fig. 4 is the lower PAPR of OFDM-SLM systems difference U values；
PAPR distributions under different schemes when Fig. 5 is U=4；
Fig. 6 is that FBMC signals are contrasted with ofdm signal.
Specific embodiment
In order to further illustrate technical scheme, enter below against accompanying drawing and in conjunction with specific embodiments to the present invention Row detailed description.
Embodiment
A kind of low complex degree SLM algorithms of reduction FBMC-OQAM systems PAPR proposed by the present invention, comprise the following steps：
S1, rotating vector is initialized first, U length of generation is the phase place vector of N：
Wherein：N ∈ [0, N-1], u ∈ [0, U-1]；
S2, current data block is multiplied with rotating vector, each input block XmRotating vector phases all different from U Multiply：
Wherein：The point-to-point multiplication of representing matrix；
S3, signal is sampled, filtered and is modulated, because the overlap property of FBMC-OQAM signals is, it is necessary to consider current Signal before data block, so as to obtain following signal：
Wherein：M ∈ [0,2 π], t ∈ [0, (m+1/2) T+4T]；
S4, signal x is calculated according to following equationuT the PAPR of (), computation interval is Tc；
The simulation result of analysis chart 2 understands that the power of each signal is mainly distributed on the middle 2T intervals of each signal period, Therefore T hereinc∈ [mT+T, mT+3T], across 2T, and T in DSLM technologiesc∈ [mT, mT+4T], across 4T；
S5, the result calculated according to PAPR, select optimal rotation approach, obtain the rotating vector when PAPR values are minimum and compile Number, i.e.,And by uminU is stored in as side informationSI=[USI umin] in；
S6, final updating input, according to uminOptimal rotating vector is selected, is multiplied with current data block, update input signal MatrixIt is then back in step S2, to the signal X in next signal cyclem+1Repeat the above steps, Until m=M-1.
Fig. 1 show FBMC-OQAM signal models；In FBMC-OQAM systems, we are using the letter based on OQAM modulation Number transmission, can be write as the transmitting terminal containing M complex input signal, N number of subcarrier：
WhereinWithIt is respectively the real part and imaginary part of the than the m-th data block transmitted on n-th subcarrier, the reality of signal Portion and imaginary part differ T/2 (T is symbol period, also referred to as symbol width) in time domain, and over-sampling is carried out to signal, and the sampling period is T0, oversample factor is K, and during oversample factor K >=4, the PAPR values of sampled signal connect very much with the PAPR values of continuous signal Closely, K takes 4 in hereafter emulating；And then signal is by wave filter, by ptototype filter h (t) and by N number of subcarrier-modulated it After can obtain：
Wherein, n=0,1 ..., N-1；Then,It is superimposed on N number of sub-carrier signal, can be obtained Signal on than the m-th data block：
Wherein：L is the length of ptototype filter h (t), it can be seen that XmT the length of () is (L+T/2)；Finally, by M Data block is superimposed can obtain FBMC-OQAM final signals X (t)：
Can be obtained by (2) and (4)：
Wherein, n=0,1 ..., N-1；M=0,1 ..., M-1, h (t) are the impulse response of ptototype filter, are used herein PHYDYAS ptototype filters, with spectral sampling technology, the length of wave filter is L=kN-1, and k is overlap factor, and N is carried for son Wave number quantity, wherein：
The impulse response of wave filter is as follows：
Wherein,It is normalization constants.
Fig. 2 show 4 power distributions of adjacent data blocks, it can be seen that each FBMC-OQAM signal continues 4.5T, it is overlap with 3 subsequent signals, and as can be seen from the figure the power of FBMC-OQAM signals is mainly distributed on its letter Between 2nd to the 3rd symbol period of number durations, that is, concentrate between [mT, (m+2) T].For ptototype filter, energy Amount is predominantly located at main lobe, and its effect length the duration of FBMC-OQAM signal pulses response, and we define FBMC-OQAM The power distribution of signal is as follows：
Pavg[X (t)]=| X (t) |2
Fig. 3 show the block diagram of the SLM technologies for being traditionally used for reducing ofdm system PAPR.Input data X is individual not with U The sequence of same-phaseIt is multiplied, obtains a data block X for amendmentu, wherein N=0,1 ..., N-1, u=1 ..., U.Sequence { the X independent to Uu[n] } take IFFT and obtain sequence xu=[xu[0],xu [1],…,xu[N-1]]T, the selection wherein sequence with minimum PAPRTransmitting：
Fig. 4 show PAPR under OFDM-SLM systems difference U values, in order to enable a receiver to recover original data block, needs To be stored in USI matrixes as side information (Side Information, SI), we choose 105Individual FBMC symbols, 64 Subcarrier, 16 data blocks use SLM technologies, take PAPR performances during different U values as simulation parameter, emulation ofdm signal, Curve is from right to left respectively Original, U=4, U=8, U=16 in figure, the CCDF curves of PAPR during U=32, analysis emulation Result is understood, compared to original ofdm system, after SLM technologies, its PAPR value is effectively reduced, and with the increase of U values, performance Contrast has also been lifted.
PAPR distributions under different schemes, choose 10 when Fig. 5 show U=45Individual FBMC symbols are emulated, parameter selection For：Cycle T=64, sub-carrier number N=64 is modulated using 4-QAM, and Vector rotation vector scope is that oversample factor K is 4, is adopted Sample cycle T04T is taken, ptototype filter is selected, span is 4T.From analysis above, the energy of FBMC-OQAM signals is main The the 2nd and the 3rd symbol period is concentrated on, therefore it is [T, 3T] that the emulation that we choose during emulation is interval, in this interval computation PAPR The calculation times of PAPR values that were calculated than before in the range of [0,4T] of value substantially reduce.Fig. 5 is original FBMC-OQAM signals PAPR performance comparison situations of the FBMC-OQAM of PAPR performances and utilization DSLM and utilization LD-SLM in N=64.By Fig. 5 Middle simulation result can be seen that using after LD-SLM algorithms, and the PAPR performances of FBMC-OQAM signals are compared with original FBMC signals There is the lifting of 3.5dB；Close with using DSLM technologies, difference only has about 0.5dB performances.This explanation set forth herein LD-SLM skills Art is close with DSLM in the PAPR performances for reducing FBMC-OQAM systems, but compares primary signal and be obviously improved.
Fig. 6 show FBMC signals and ofdm signal comparison diagram.We are by with the FBMC-OQAM signals of LD-SLM technologies PAPR compared with the PAPR performances of the ofdm signal with tradition SLM technologies.From fig. 6 it can be seen that using LD-SLM The PAPR performances of the FBMC-OQAM signals of algorithm and SLM algorithm PAPR performances very close to, it means that set forth herein LD-SLM The scheme for reducing PAPR rationally using the overlap property of FBMC-OQAM signals, and can be substantially reduced the PAPR of signal.From Fig. 6 It can also be seen that when alternative signal number increases, system PAPR performances are further improved.
The above, the only present invention preferably specific embodiment, but protection scope of the present invention is not limited thereto, Any one skilled in the art the invention discloses technical scope in, technology according to the present invention scheme and its Inventive concept is subject to equivalent or change, should all be included within the scope of the present invention.

Claims (2)

1. a kind of low complex degree SLM algorithms of reduction FBMC-OQAM systems PAPR, i.e. LD-SLM algorithms, it is characterised in that including Following steps：
S1, rotating vector is initialized first, U length of generation is the phase place vector of N：
P u = [ P 0 u , P 1 u , ... , P N - 1 u ] T ,
Wherein：N ∈ [0, N-1], u ∈ [0, U-1]；
S2, current data block is multiplied with rotating vector, each input block XmRotating vectors all different from U is multiplied：
X m u = X m · P u ,
Wherein：The point-to-point multiplication of representing matrix；
S3, signal is sampled, filtered and is modulated, because the overlap property of FBMC-OQAM signals is, it is necessary to consider current data Signal before block, so as to obtain following signal：
Wherein：M ∈ [0,2 π], t ∈ [0, (m+1/2) T+4T]；
S4, signal x is calculated according to following equationuT the PAPR of (), computation interval is Tc；
PAPR T c u = m a x 0 ≤ t ≤ T c | x u ( t ) | 2 1 T c ∫ 0 T c | x u ( t ) | 2 d t ;
S5, the result calculated according to PAPR, select optimal rotation approach, obtain the rotating vector numbering when PAPR values are minimum, I.e.And by uminU is stored in as side informationSI=[USI umin] in；
S6, final updating input, according to uminOptimal rotating vector is selected, is multiplied with current data block, update input signal matrixIt is then back in step S2, to the signal X in next signal cyclem+1Repeat the above steps, until M=M-1.
2. a kind of low complex degree SLM algorithms of reduction FBMC-OQAM systems PAPR according to claim 1, its feature exists In the LD-SLM algorithms only calculate the PAPR values for concentrating on interval [T, 3T] scope internal symbol, find out in interval [T, 3T] most Small PAPR values select most preferably to rotate symbol.
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CN108011852A (en) * 2017-10-19 2018-05-08 重庆邮电大学 A kind of PTS algorithms that FBMC-OQAM peak-to-average power ratios are reduced based on sliding window
CN114978837A (en) * 2022-05-11 2022-08-30 苏州大学 Filter bank multi-carrier system signal transmission method, device and storage medium

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