CN106254292B - Reduction PAPR algorithm based on the distribution of stochastic filtering device in GFDM system - Google Patents
Reduction PAPR algorithm based on the distribution of stochastic filtering device in GFDM system Download PDFInfo
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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
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- H—ELECTRICITY
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- 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
- H04L27/2618—Reduction thereof using auxiliary subcarriers
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- H—ELECTRICITY
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- H04L27/00—Modulated-carrier systems
- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
- H04L27/2614—Peak power aspects
- H04L27/2621—Reduction thereof using phase offsets between subcarriers
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- H—ELECTRICITY
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- H04L27/00—Modulated-carrier systems
- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
- H04L27/2626—Arrangements specific to the transmitter only
- H04L27/2627—Modulators
- H04L27/264—Pulse-shaped multi-carrier, i.e. not using rectangular window
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- H—ELECTRICITY
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- H04L27/00—Modulated-carrier systems
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- H04L27/2697—Multicarrier modulation systems in combination with other modulation techniques
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Abstract
The reduction PAPR algorithm based on the distribution of stochastic filtering device in a kind of GFDM system is claimed in the present invention, is related to wireless communication system.As all multicarrier system, since output signal is superimposed, GFDM system still has high PAPR.Although the method for reducing PAPR in ofdm system has very much, the characteristics of due to GFDM system, directly borrowing the method for reduction PAPR in ofdm system, the effect is unsatisfactory.Current research there are aiming at the problem that, it can be with the design feature of flexible choice filter according to GFDM system, a kind of method for proposing new reduction system PAPR, by the way that every subcarriers are randomly assigned with different filters, phase equalization when being intended to destroy Signal averaging is to effectively inhibit PAPR, and will not cause the distortion of signal.Theory analysis and simulation result confirm the superiority of the algorithm.
Description
Technical field
The present invention relates to the skills of the reduction PAR peak to average ratio in wireless communication field more particularly to filter bank multi-carrier technology
Art.
Background technique
Currently, the standard much wirelessly communicated all relies on OFDM, it, will high speed as a kind of important multi-transceiver technology
Data flow is divided into several parallel low rate data streams transmitted on different subcarriers, is effective against intersymbol interference
(ISI), but OFDM still has limitation, for this purpose, the novel multi-carrier modulation technology such as GFDM comes into being.GFDM is as 5G
Alternative waveform, have the advantages that many OFDM are no: data symbol can be by the two-dimentional modular structure across time domain and frequency domain
It propagates, adjustable pulse shaping filter has been used to make system that there is very high flexibility etc..
But as OFDM multicarrier system, since transmitting terminal output signal is overlapped mutually, may at a time it produce
Raw biggish peak power, thus GFDM system can bring higher papr, abbreviation peak-to-average force ratio (PAPR).It is theoretical
The upper quantity for reducing carrier wave can largely reduce the PAPR of system, and infeasible in practical applications, so
The PAPR that high degree reduces system under conditions of multicarrier is only the key solved the problems, such as.Although reducing PAPR in ofdm system
Method have very much, still, due to the design feature of GFDM system, the method effect of PAPR is directly reduced in borrow ofdm system
It is unsatisfactory.
Document [Sendrei L, S,Michailow N,et al.Iterative receiver
for clipped GFDM signals[C]//IEEE 24th International Conference
Radioelektronika.2014, pp.1-4.] using iterative receiver to GFDM receive signal handled (Clipped-
GFDM), this will lead to signal distortion, although successive ignition can effectively eliminate the nonlinear noise due to caused by clipping,
The number of iterations is more, and operand is also more complicated;Document [Sharifian, Z, Omidi, M.J, Farhang, A, et
al.Polynomial-based compressing and iterative expanding for PAPR reduction in
GFDM [C] //IEEE 23rd Conference on Electrical Engineering, 2015, pp.518-523.] it provides
A kind of to be based on multinomial companding algorithm (PCT-GFDM), it is one-to-one mapping, and pass through iterative receiver mode in receiving end
Restore to send end signal, however this algorithm also will increase operand while reducing PAPR and sacrifice BER performance.
GFDM multicarrier system model is as shown in Figure 1.Binary sequence b completes corresponding constellation mapping by QAM modulation,
A sequence d for complex data symbol composition is obtained, after going here and there and simultaneously (S/P) converting and up-sample (Upsampling), forms the road K packet
Parallel data stream d containing M symbolk={ d0,k,d1,k……dM-1,k}T, (k=0,1 ..., K-1), every road signal is with respectively
The Pulse shaped filter of self-loopaIt is filtered, filter period MN, then by the centre frequency of respective subcarrier
Modulation, which is superimposed to obtain again, sends signal x [n], is eventually adding cyclic prefix, is sent into signal.
Wherein,Indicate the cyclic convolution about n, n ∈ [0, MN-1], dm,kIt indicates m-th transmitted on k-th of carrier wave
Complex data symbol.
According to document [Michailow N, Gaspar I, Krone S, et al.Generalized frequency
division multiplexing:Analysis of an alternative multi-carrier technique for
next generation cellular systems[C]//International Symposium on Wireless
Communication Systems.IEEE, 2012:171-175.] GFDM module can realize with IFFT/FFT, time domain is grasped
Frequency-domain operations are converted to, as shown in Fig. 2, then formula (1) can indicate are as follows:
Wherein, WMdkIndicate the FFT of M point;In a frequency domain, up-sampling treatment shows as signal replication, replicates matrix R(L)It is
By L IMIt is connected in series, i.e. R(L)={ IM,IM,......,IM}T, IMFor the unit matrix of M × M;Electric-wave filter matrix Γ=diag
(WLMG), g is the time sample vector of filter pulse;Up-conversion is signal multiplied by a permutation matrix P in frequency domain representation(k), P(k)According to P(1)={ ILM,0LM,0LM,...}T, P(2)={ 0LM,ILM,0LM,...}TRule analogize, wherein 0LMFor LM ×
The null matrix of LM.
Further, sending signal can be indicated with linear matrix are as follows:
X=Ad (3)
Here, A indicates the modulation matrix of a MN × KM.
After removing cyclic prefix (CP), the vector being made of reception sample of signal can be write as:
Y=Hx+n (4)
Wherein, H is the impulse response function of channel,Indicate that mean value is 0 and variance isAdditivity it is high
This white noise vector ,~indicate equivalent;
In receiving end, channel distortion is compensated to obtain by frequency domain equalization (FDE)In order to eliminate or inhibit due to
In the nonopiate caused inter-carrier interference (ICI) of intercarrier, matched-filter receiver (MF), zero-forcing receiver are usually utilized
(ZF), three kinds of least mean-square error receiver (MMSE) etc. linear GFDM receivers rebuild GFDM system and send data, use IMNIt is
The unit matrix of MN × MN, then has respectively:
The PAPR of GFDM system may be expressed as:
Wherein E { } indicates operation of averaging.It for convenience, can be with according to the signal after modulated on k-th of the carrier wave of formula (1)
It indicates are as follows:
Since intersymbol is mutually indepedent, so xkIt is also mutually indepedent between [n], to have:
E{xk[n] }=0
X as can be seen from the above equationkThe mean value and variance of [n] are unrelated with k, according to central-limit theorem it is found that when K is enough
When big, x [n] obedience mean value is 0 and variance is 2 σn 2=K σ2Multiple Gauss distribution, wherein σn 2Indicate the side of x [n] real and imaginary parts
Difference.
The performance of system PAPR can with complementary error cumulative function (CCDF) indicate, it can calculate PAPR be more than to
The probability of threshold value γ out.By the analysis of front, the envelope of x [n] | x [n] | Rayleigh distributed, power | x [n] |2It obeys
The χ that freedom degree is 22Distribution.Enable S=| x [n] |2, then the probability density function of S are as follows:
It enablesThe then probability density function of T are as follows:
fT(t)=K σ2fS(Kσ2T)=e-t, t > 0 (12)
Then have
Since each T is independent, so the cumulative function (CDF) of PAPR can indicate are as follows:
Therefore, the complimentary cumulative function (CCDF) of the PAPR of GFDM system are as follows:
P (PAPR > γ)=1- (1-e-γ)MN (15)
The reason of high PAPR can have been generated in conjunction with GFDM system with the design feature of flexible choice filter, invent one kind
The new algorithm that system PAPR is reduced based on filter is randomly assigned.
Summary of the invention
Present invention seek to address that the above problem of the prior art.Propose a kind of method.Technical scheme is as follows:
A kind of reduction PAPR algorithm based on the distribution of stochastic filtering device in GFDM system comprising following steps:
Step 1, GFDM system initialization generate the sequence C containing a K element={ c at random0,
c1......ck,......cK-1, wherein ck∈{0,1};Wherein the size of K is the sub-carrier number size of system;
Step 2, the K subcarriers signal for obtaining GFDM system select filter to be filtered simultaneously K subcarriers signal
Number, works as ckWhen=0, indicates that and first filter is selected to be filtered K subcarriers signal;Work as ckWhen=1, the is selected
Two filters are filtered K subcarriers signal, and wherein first filter is different from second filter type;
Step 3 obtains GFDM signal to by the filtered K subcarriers Signal averaging of step 2, calculates GFDM signal
PAPR is simultaneously stored.
Further, work as c in the step 2kWhen=0, first filter selects raised cosine filter RC;Work as ckWhen=1,
Second filter selects root raised cosine filter RRC.
Further, the K subcarriers signal of GFDM system described in the step 2 includes the parallel data stream of M symbol
dk={ d0,k,d1,k……dM-1,k}T, (k=0,1 ..., K-1).
Further, step 3 calculates the step of PAPR of GFDM signal specifically: firstly, calculating separately this N number of data symbols
Number power, maximum value power therein is selected, secondly, the mean power of GFDM signal is calculated, finally, by maximum value power
The PAPR for obtaining GFDM is compared with mean power.
It advantages of the present invention and has the beneficial effect that:
The basic reason for leading to PAPR in multi-carrier systems is that sub-carrier signal is continuously superimposed, when sub-carrier phase is consistent
When just will appear higher peak power.In traditional GFDM system, every subcarriers with identical filter to signal into
Row processing, this will increase the consistent probability of sub-carrier phase.For this purpose, herein according to different filters phase-frequency characteristic it is different this
Feature proposes a kind of new method for reducing PAPR.By being randomly assigned different filters to each subcarrier, between subcarrier
Complex data symbol introduce out of phase offset vector, high degree destroy sub-carrier phase it is consistent, thus effectively inhibit PAPR,
The program is known as being based on stochastic filtering device allocation algorithm (RAF-GFDM).Two kinds of raised cosine filters common and that effect is good are selected herein
Wave device (RC) and root raised cosine filter (RRC) can share in this way when system is realized with other modules.
Compared by the complexity of several different drop PAPR algorithms, it can be seen that margining amplitude technique does not increase additional complexity
Degree, but PAPR is reduced with the bit error rate performance of sacrificial system;The computation complexity of PCT algorithm is increased slightly, but its same limit
Width method is the same, will increase the bit error rate of system.SLM algorithm is a linear process, will not bring signal distortion, complexity
It is moderate, but the effect for reducing PAPR does not protrude;And algorithm proposed in this paper is equally linear process, though reducing PAPR's
There is no that margining amplitude technique and PCT algorithm are prominent in effect, but win and increase additional calculating cost no, and to the bit error rate almost without
It influences, there is higher practical application value.
Detailed description of the invention
Fig. 1 is that the present invention provides preferred embodiment GFDM transmitting terminal system model.
Fig. 2 GFDM signal sending end frequency domain handles model
Fig. 3 RAF-GFDM process flow diagram
PAPR performance under Fig. 4 difference rolloff-factor
Fig. 5 PAPR reducing effect comparison diagram
BER performance compares under MF in Fig. 6 Gaussian channel
BER performance compares under ZF in Fig. 7 Gaussian channel
BER performance compares under MMSE in Fig. 8 Gaussian channel
BER performance in Fig. 9 walking multipath channel under MF compares
BER performance in Figure 10 walking multipath channel under ZF compares
BER performance in Figure 11 walking multipath channel under MMSE compares
The BER performance of algorithms of different in Figure 12 Gaussian channel
The BER performance of algorithms of different in Figure 13 walking multipath channel
1 transmitting terminal computational complexity of table compares
2 simulation parameter of table
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, detailed
Carefully describe.Described embodiment is only a part of the embodiments of the present invention.
Technical scheme is as follows:
Two kinds of raised cosine filters (RC) and root raised cosine filter (RRC) common and that effect is good are selected herein, in this way
It can be shared with other modules when system is realized.Specific step is as follows:
(1) firstly, generating the binary sequence C comprising K element at randomk∈ { 0,1 }, k ∈ [0, K-1].
(2) then, filter is numbered, works as CkWhen=1, RCC filter is selected to carry out kth subcarriers signal
Otherwise filtering selects RC filter to be filtered kth subcarriers signal.
(3) finally, the road-load wave of K is superimposed to obtain GFDM signal, PAPR is calculated.
Next the complexity of RAF-GFDM above is analyzed, to compare, we also give OFDM and tradition
The complexity of GFDM system, Clipped-GFDM system, PCT-GFDM, SLM-GFDM system etc..With reference to formula (2), GFDM is generated
The step of signal needs is as follows:
(1) FFT of K M point;
(2) K filtering, primary filtering carry out LM plural multiplication;
(3) plural number of K MN point adds operation;
(4) IFFT of K MN point.
We use plural multiplication CMThe complexity of measurement system, so the complexity of traditional GFDM system can indicate
Are as follows:
It is proposed in this paper based on the algorithm for being randomly assigned filter, compared to traditional GFDM system, only in signal
It is varied in filtering processing step, but there is no the operation costs for increasing system, so:
As shown in table 2, the complexity for giving several different drop PAPR algorithms compares, it can be seen that margining amplitude technique does not increase
Add additional complexity, but PAPR is reduced with the bit error rate performance of sacrificial system;The computation complexity of PCT algorithm slightly increases
Add, but it is the same with margining amplitude technique, will increase the bit error rate of system.SLM algorithm is a linear process, and signal will not be brought abnormal
Become, complexity is also moderate, but the effect for reducing PAPR does not protrude;And algorithm proposed in this paper is equally linear process, though
There is no margining amplitude technique and PCT algorithm prominent in the effect for reducing PAPR, but wins and increase additional calculating cost no, and is right
The bit error rate has little effect, and has higher practical application value.
Herein by every subcarriers are randomly assigned with different filter RC and RRC, it is intended to destroy K subcarriers signal
The consistency of phase, the probability for making each sub-carrier signal occur peak power when continuously superposition are reduced.In order to analyze herein
The performance of method, we and tradition GFDM, the iteration margining amplitude technique (Clipped-GFDM) of document [15] proposition, multinomial companding method
(PCT-GFDM) and Choose for user algorithm (SLM-GFDM) carries out emulation comparison.Channel includes Gaussian channel and walking multipath letter
Road, is respectively adopted tri- kinds of reception modes of MF, ZF, MMSE, and other simulation parameters of this paper are as shown in table 2.
Fig. 3 is influence of the rolloff-factor of filter to RAF-GFDM system PAPR.It was noticed that RAF-GFDM system
PAPR performance and institute's selecting filter rolloff-factor (roll-off) it is related, be not to be the bigger the better, nor the smaller the better,
But general impacts are not too big.So the RAF- that we need that suitable rolloff-factor is selected to make system in practical applications
The PAPR performance of GFDM system is optimal.
Fig. 4 compares the method for different reduction PAPR, it was noted that the PAPR of GFDM system is slightly above
OFDM accelerates the attenuation outside a channel of system this is because GFDM has used more flexible filter, i.e. RRC, RC etc..Assuming that using
Be normalized filter, then the mean power of GFDM signal will be less than ofdm signal, so the PAPR of GFDM is compared
OFDM can increased.We can also be seen that method proposed in this paper can be effectively reduced compared with tradition GFDM simultaneously
The PAPR of GFDM system.In addition, although Clipped-GFDM scheme and PCT-GFDM scheme reduce the performance of PAPR better than herein
The algorithm of proposition, but both algorithms belong to nonlinear operation, not only complexity is higher, can also seriously affect system
BER performance.Further, we also make comparisons with the Choose for user algorithm (SLM) for being all linear operation, the PAPR drop of context of methods
Inefficient fruit is better than SLM algorithm.
Fig. 6 and Fig. 7, study in Gaussian channel and walking multipath channel respectively RAF-GFDM system proposed in this paper MF,
The BER performance of tri- kinds of ZF, MMSE reception modes, and make ratio with a kind of BER performance for the traditional GFDM system for only using filter
Compared with.It was noticed that no matter the BER of the RAF-GFDM system under Gaussian channel or walking multipath channel, MF reception mode
Performance curve is all between the BER performance curve of traditional GFDM system that RC or RRC is used alone.And it is worth noting that,
Receive mode according to ZF and MMSE, when signal-to-noise ratio (SNR) is lower, the BER performance curve of RAF-GFDM system still between
It is used alone between the BER performance curve of traditional GFDM system of RC or RRC;But the RAF-GFDM system in middle high s/n ratio
BER performance can slightly nearly, this explanation when noise is relatively high, BER is bigger by the poor filters affect of performance.It is comprehensive
It is upper described, it is proposed in this paper smaller on the influence of the BER performance of GFDM system based on the algorithm for being randomly assigned filter.
Fig. 8 and Fig. 9 is respectively to use different reduction PAPR methods in Gaussian channel and walking multipath channel in GFDM system
BER performance compare.It can be seen from the figure that proposed in Clipped-GFDM method and document [16] that document [15] proposes
The BER performance of PCT algorithm has obvious variation, because both algorithms belong to non-linear process, the PAPR for reducing system is
To sacrifice BER performance as cost;RAF-GFDM algorithm proposed in this paper can but reduce system under the premise of ensureing BER performance
The PAPR of system.
Table 1 is that transmitting terminal computational complexity compares
Table 1
Table 2 is simulation parameter
Table 2
The above embodiment is interpreted as being merely to illustrate the present invention rather than limit the scope of the invention.?
After the content for having read record of the invention, technical staff can be made various changes or modifications the present invention, these equivalent changes
Change and modification equally falls into the scope of the claims in the present invention.
Claims (4)
1. the reduction PAPR algorithm based on the distribution of stochastic filtering device in a kind of GFDM system, which comprises the following steps:
Step 1, GFDM system initialization generate the sequence C containing a K element={ c at random0,c1......ck,
......cK-1, wherein ck∈{0,1};Wherein the size of K is the sub-carrier number size of system;
Step 2, the K subcarriers signal for obtaining GFDM system select filter to be filtered and compile K subcarriers signal
Number, work as ckWhen=0, indicates that and first filter is selected to be filtered K subcarriers signal;Work as ckWhen=1, second is selected
Filter is filtered K subcarriers signal, and wherein first filter is different from second filter type;
Step 3 obtains GFDM signal to by the filtered K subcarriers Signal averaging of step 2, calculates the PAPR of GFDM signal
And it stores.
2. the reduction PAPR algorithm based on the distribution of stochastic filtering device in GFDM system according to claim 1, feature exist
In working as c in the step 2kWhen=0, first filter selects raised cosine filter RC;Work as ckWhen=1, second filter is selected
Root raised cosine filter RRC.
3. the reduction PAPR algorithm based on the distribution of stochastic filtering device in GFDM system according to claim 1 or 2, feature
It is, the K subcarriers signal of GFDM system described in the step 2 includes the parallel data stream d of M symbolk={ d0,k,
d1,k......dM-1,k}T, k=0,1 ..., K-1.
4. the reduction PAPR algorithm based on the distribution of stochastic filtering device in GFDM system according to claim 1 or 2, feature
It is a step of GFDM signal includes N number of data symbol, and step 3 calculates the PAPR of GFDM signal specifically: firstly, respectively
The power for calculating this N number of data symbol selects maximum value power therein, secondly, calculating the mean power of GFDM signal, most
Afterwards, maximum value power is compared to the PAPR for obtaining GFDM with mean power.
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