CN108924076A - A kind of improved TS-PSO-PTS peak-to-average force ratio Restrain measurement of joint in CO-OFDM system - Google Patents
A kind of improved TS-PSO-PTS peak-to-average force ratio Restrain measurement of joint in CO-OFDM system Download PDFInfo
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Abstract
The present invention relates to a kind of peak-to-average force ratio Restrain measurement of CO-OFDM system, in particular to a kind of improved TS-PSO-PTS peak-to-average force ratio Restrain measurement of joint.The program mainly realizes the inhibition to high peak-to-average power ratio by improving based on particle swarm algorithm and PTS technical tie-up.In this scenario, initial input signal is subjected to d grades of IFFT transformation first, then the matched-phase factor in PTS algorithm is searched in the division that sub-block is carried out to signal in conjunction with particle swarm algorithm, and the last the smallest signal all the way of reselection peak-to-average force ratio is to obtain optimal peak-to-average ratio inhibition performance.Simulation analysis shows that the present invention can effectively reduce the computation complexity of traditional PTS scheme, while also having both preferably peak-to-average ratio inhibition performance.The present invention is also a kind of scheme for taking into account error rate of system and peak-to-average ratio inhibition performance simultaneously, and the program can meet the inhibition to CO-OFDM system high peak-to-average power ratio, further relate to effectiveness of the invention and novelty.
Description
Technical field
The invention belongs to coherent light orthogonal frequency division multiplexing (coherent optical orthogonal frequency
Division multiplexing, CO-OFDM) system peak-to-average than suppression technology field, is related to a kind of improved TS- of joint
PSO-PTS(two-stage particle swarm optimization partial transmit sequence,TS-
PSO-PTS) peak-to-average force ratio Restrain measurement, the program program is mainly by being based on population (particle
Swarmoptimization, PSO) algorithm and partial transmission sequence (partialtransmitsequence, PTS) technical tie-up
It improves to realize the inhibition to high peak-to-average power ratio.
Background technique
Coherent light orthogonal frequency division multiplexing (coherent optical orthogonal frequency division
Multiplexing, CO-OFDM) system is by coherent light communication technology and orthogonal frequency division multiplexing (orthogonal frequency
Division multiplexing, OFDM) technology organically combines, high spectrum utilization, to the robust of channel fading
Property, resisting chromatic dispersion ability, anti-intersymbol interference (intersymbolinterference, ISI) inhibits nonlinear effect etc. many
Advantage, at present by a variety of high speed data transmission systems as technical standard.However, high papr (peak-
To-averagepowerratio, PAPR) it has always been considered as being the most important disadvantage of coherent light OFDM technology.High PAPR drives
Dynamic high power amplifier works in nonlinear area, this will will increase inband distortion and out-of-band radiation, so as to cause CO-OFDM system
Performance of uniting decline.In order to effectively inhibit high PAPR to influence brought by CO-OFDM system, current experts and scholars both domestic and external
Propose many solutions for high PAPR, as slicing (Clipping), selected mapping method (selectivemapping,
SLM), the technologies such as partial transmission sequence (partial transmitsequence, PTS).In current solution, part
Transmitting sequence (PTS) is a kind of promising technology, in message transmission rate, without appointing in terms of power and bit error rate (BER)
What loses, and other than needing to transmit side information, can significantly improve PAPR rejection.But a system is used in PTS scheme
Inverse fast Fourier transform (Inverse Fast Fouriertransform, the IFFT) transformation of column generates different alternative letters
Number and increase computation complexity.
Summary of the invention
In view of this, can not only reduce computation complexity the purpose of the present invention is to provide a kind of but also can take into account preferable
The peak-to-average force ratio scheme of PAPR rejection.
In order to achieve the above objectives, the present invention provides the following technical solutions：
(1) will have N=2 firstnThe CO-OFDM signal of a subcarrier is expressed as：
Wherein X={ Xk, (k=0,1 ..., N-1) represents the symbol sebolic addressing of input, and t represents discrete-time variable.If
DefinitionWherein TiIt is that the symmetrical matrix of a N × N represents the i-stage of IFFT operation, then formula (1)
It can be rewritten as：
Enable S=[S0S1…SN-1]T, Sk∈ { 1,2 ..., M } come indicate sub-block segmentation after sequence, wherein working as Xm,k=XkWhen,
Sk=m.Then m-th of sub-block index sequence Im=[Im,0Im,1…Im,N-1]TIn Im,kIt can be expressed as：
So m-th of sub-block can be expressed as：
WhereinIt is the diagonal matrix of a N × N, diagonal line is by sub-block index sequence ImIt constitutes.So, it finally obtains
Transmission signal can be expressed as：
(2) next. is different from PSO-PTS (particle swarm optimization PTS, PSO-PTS) algorithm
With C-PTS (conventional PTS, C-PTS) algorithm, TS-PSO-PTS (two stage PSO- used by this programme
PTS, TS-PSO-PTS) algorithm to the CO-OFDM signal of input there is no being split processing at once, but first will be initial
Input signal carries out d grades of IFFT (inverse fast fourier transform, IFFT) transformation, wherein 1≤d≤n-1, so
Carry out the division of sub-block again afterwards, system block diagram is as shown in Fig. 6.
(3) .TS-PSO-PTS algorithm is divided into traditional n grade IFFT operation twice to carry out, and first part is IFFT fortune
Preceding d grades calculated, remaining n-d grades is second part.In preceding d grades of IFFT operation, input data sequence XdataIt is transported by IFFT
Calculation forms first part's M signal sequenceThen by the M signal sequenceIt is divided into M to face
When subsequence, then n-d grades of IFFT operation is carried out to this M grouping.By using PSO-PTS to calculate after two-part IFFT operation
It is minimum all the way finally to choose PAPR in the signal after being converted (peak-to-average power ratio, PAPR) value for method
Signal is transmitted.
(4) operation of the Jing Guo (3) step, after TS-PSO-PTS algorithm, formula (5) can be expressed as：
The beneficial effects of the present invention are：
It is found that the present invention program improves the meter of traditional PTS scheme to a certain extent from theoretical and Computer Simulation
Calculate the higher problem of complexity, compared to have in terms of PAPR rejection only with the PSO-PTS algorithm arrangement present invention compared with
Significantly to improve, although the present invention results in centainly compared to certain distorted signals phenomenon that PSO-PTS algorithm generates
The bit error rate, but the present invention achieves good balance between computation complexity, PAPR rejection and the bit error rate.Therefore
In actual application, when taking into account the performance of PAPR inhibitory effect and system-computed complexity between the two, the present invention program
There is very high utility value and Practical significance in the practical application of high peak-to-average power ratio for inhibiting optical OFDM system.
Detailed description of the invention
In order to keep the purpose of the present invention, technical scheme and beneficial effects clearer, the present invention provides following attached drawing and carries out
Explanation：
Fig. 1 is the Technology Roadmap of the present invention program；
Fig. 2 is the functional block diagram of C-PTS scheme；
Fig. 3 is PSO-PTS solution principle block diagram；
Fig. 4 is PSO algorithm flow chart；
Fig. 5 is the principle flow chart of the PSO-PTS algorithm search optimum angle factor；
Fig. 6 is that the present invention program combines improved functional block diagram；
Fig. 7 is the present invention program and the PAPR rejection comparison of other two schemes；
Fig. 8 is the present invention program and the bit error rate performance comparison of other two kinds of algorithms.
Specific embodiment
Below in conjunction with attached drawing, a specific embodiment of the invention and preferred simulation example are described in detail.
1. illustrating in conjunction with attached drawing 2, traditional PTS (conventionalpartial transmit sequence, C-PTS)
The main thought of scheme is to divide the CO-OFDM signal X of input according to certain mode, is divided into M non-overlapping
Sub-block, be then passed through IFFT (Inverse FastFouriertransform, IFFT) transformation after each sub-block multiplied by same
The phase factor of sample, finally there is minimum PAPR (peak-to-averagepowerratio, PAPR) in selection in M group signal
One group of signal send.
Traditional PTS scheme is to propose that functional block diagram is as shown in Fig. 2 jointly by S.H.Muller and J.B.Huber.
In C-SLM scheme, basic thought is the data vector X={ X to inputk, (k=0,1 ..., N-1) is pressed
It is M non-overlapping subvector X according to certain model splitm=[Xm,1Xm,2…Xm,N-1], by each subvector not after
The corresponding position for holding original input data symbol is padded to length N with zero.Because they are not overlapped, have：
Wherein subvector XmIn each subcarrier multiplied by same phase factor(0≤w≤WM-1- 1, wherein W be
Phase factor space size), also referred to asFor twiddle factor or weight factor, which is all to be independently actuated against every height to carry
Wave is typically chosenPhase factor sequence is weighted merging to M subvector, then is had：
Wherein vectorHave after carrying out IFFT transformation to formula (1)：
Wherein vectorA referred to as alternative sequence, vector xmReferred to as xwOne part pass
Defeated sequence.The target of C-PTS scheme is to find that x can be reducedwThe phase factor of peak-to-average force ratio combines, it is assumed that passes through search iteration algorithm
The optimum angle factor of acquisition is(signal of existing minimum PAPR value is represented in the present invention program with the variable with *), and energy
So that in the data sequence | x'n|2Peak value is minimum, i.e.,：
All alternative sequences are searched for by the method for exhaustion, are being found so that the smallest optimum angle of CO-OFDM signal PAPR
After factor sequence, need optimum angle factor sequence being weighted summation, and the optimum angle that will be obtained to all sub-blocks
Sequence sends receiving end to as auxiliary side information.Finally, optimal transmission sequence can be expressed as：
It is assumed thatIndicate the optimum angle sequence for making signal PAPR minimum in phase sets
Column.Fig. 2 show the functional block diagram of C-PTS scheme.
2. illustrate in conjunction with attached drawing 3, although C-PTS scheme plays certain inhibiting effect to the appearance of high PAPR, its
Inhibit the effect of PAPR still less desirable, main reason is that the search matched-phase factor is not optimal, and calculates
With segmentation sub-block number, exponentially type increases complexity, so, the present invention program uses intelligent optimization algorithm --- population
(particle swarm optimization, PSO) algorithm carrys out the optimal matched-phase factor of the search to C-PTS scheme.Grain
Subgroup (PSO) algorithm is derived from the research to birds predation, and when birds prey on, finding the most simple and effective strategy of food is exactly
Search the peripheral region of the nearest bird of current distance food.PSO algorithm is gained enlightenment from this biotic population behavioural characteristic
And for solving optimization problem, then first random initializtion a group particle finds optimal solution, grain in iterative process by iteration
Son updates oneself by two extreme values of tracking, and one is optimal solution that particle searched so far itself arrives, i.e., individual extreme value
pbest；The other is the optimal solution that entire population is found at present, i.e. global extremum gbest.Particle is updated by constantly study,
Finally fly into solution space optimal solution position, the gbest finally exported is exactly globally optimal solution.Use Xi=(xi1,xi2,…,xiD)
Indicate the current position of i-th of particle in group, D is the dimension of particle；The desired positions that particle i is lived through are Pb=(pi1,
pi2,…,piD)；The desired positions that entire group lives through are expressed as gb=(g1,g2,…,gn)；The current flight speed of particle i
Use vi=(vi1,vi2,…,viD) indicate.The particle of discrete PSO with inertia coeffeicent come according to the following formula renewal speed and
Position：
vid=ω vid+c1ramd1(pid-xid)+c2rand2(gd-xid) (6)
Wherein, rand1、rand2、rand3It is the random number between (0,1)；c1、c2For normal number, referred to as accelerated factor, c1
The step-length that particle flies to itself desired positions direction is adjusted, referred to as " cognition coefficient ", c2Particle is adjusted to global best position
The step-length of flight, referred to as " social learning's coefficient "；ω is inertia weight.
Phase factor optimization algorithm based on population the specific steps are：
Step1 carries out random initializtion to the position and speed of population.
Step2 calculates the adaptive value (PAPR) of each particle.
Step3 initializes personal best particle pbest and global optimum position gbest.
Its adaptive value and the adaptive value of personal best particle pbest experienced are compared each particle by Step4
Compared with, if preferably, as the current desired positions of the particle.
Its adaptive value and the adaptive value of global desired positions gbest experienced are compared each particle by Step5
Compared with, if preferably, as current global desired positions.
If Step6 meets convergence criterion, enter Step9；Otherwise, into Step7.
Step7 generates next-generation particle according to formula (6)~formula (8).
Step8 calculates the adaptive value (PAPR) of current particle, is transferred to Step4.
Step9 terminates iterative process, exports optimal particle and the smallest PAPR value.
Its specific functional block diagram of PSO-PTS solution principle block diagram arrangements is as shown in Figure 3.
3. illustrating in conjunction with attached drawing 4, PSO algorithm initializes a group particle, each particle generation first in solution space
One potential optimal solution of table extremal optimization problem is fitted with position, speed and the index expression of fitness value three particle characteristics
Angle value is answered to be calculated by fitness function, the quality of value indicates the superiority and inferiority of particle.Particle moves in solution space, by with
Track individual extreme value pbest and the more new individual position group extreme value gbest, individual extreme value pbest refer to what individual particles searched
Fitness value optimal location, group extreme value gbest refer to the fitness optimal location that all particle search in population arrive.Particle
As soon as every update time position calculates a fitness value, and by comparing the fitness value of new particle and individual extreme value, group
The fitness value of extreme value more new individual extreme value pbest and the position group extreme value gbest.
4. illustrate that shown in fig. 5 is the principle flow chart of the PSO-PTS algorithm search optimum angle factor in conjunction with attached drawing 5, it is first
First to the position and speed random initializtion of population, each particle represents a potential optimal solution of extremal optimization problem,
With position, the feature of speed and the index expression of fitness value three particle, fitness value is calculated by fitness function,
The quality of value indicates the superiority and inferiority of particle.Then the fitness value (PAPR) of each particle is calculated, then the optimal position of initialization individual
Pbest and global optimum position gbest are set, to each particle, by its adaptive value with personal best particle pbest's experienced
Adaptive value is compared, if preferably, as the current desired positions of the particle.For each particle, by its adaptive value
It is compared with the adaptive value of global desired positions gbest experienced, if preferably, as the current best position of the overall situation
It sets.Updated pbest and gbest are determined, if meeting the condition of convergence, export optimal particle and minimum PAPR value.
Otherwise, next-generation particle is generated, the fitness value (PAPR) of current particle is calculated, then updates pbest and gbest again until full
Sufficient condition of convergence output.
5. in conjunction with attached drawing 6 illustrate, in PSO-PTS scheme, we by the CO-OFDM signal X of input there is no at once into
Row segmentation, but initial input signal is subjected to d grades of IFFT transformation first, the division of sub-block, remaining portion are then carried out again
It is divided into n-d grades of IFFT transformation.Population (PSO) algorithm is used in search Optimum Matching phase factor part, it is defeated by PSO algorithm
It is multiplied after Optimum Matching phase factor with each sub-block out, finally minimum PAPR (peak-to- occurs in selection in M group signal
Average power ratio, PAPR) one group of signal send.Therefore, the invention proposes a kind of improved TS- of joint
PSO-PTS(two-stage particle swarm optimization partial transmit sequence,TS-
PSO-PTS) scheme, the basic principle block diagram for combining improvement project are as shown in Figure 6.TS-PSO-PTS scheme as shown in Figure 6
The specific implementation process is as follows described：
(1) will have N=2 firstnThe CO-OFDM signal of a subcarrier is expressed as：
Wherein X={ Xk, (k=0,1 ..., N-1) represents the symbol sebolic addressing of input, and t represents discrete-time variable.If
DefinitionWherein TiIt is that the symmetrical matrix of a N × N represents the i-stage of IFFT operation, then formula (1) can
To be rewritten as：
Enable S=[S0S1…SN-1]T, Sk∈ { 1,2 ..., M } come indicate sub-block segmentation after sequence, wherein working as Xm,k=XkWhen,
Sk=m.Then m-th of sub-block index sequence Im=[Im,0Im,1…Im,N-1]TIn Im,kIt can be expressed as：
So m-th of sub-block can be expressed as：
WhereinIt is the diagonal matrix of a N × N, diagonal line is by sub-block index sequence ImIt constitutes.So, it finally obtains
Transmission signal can be expressed as：
(2) next. is different from PSO-PTS (particle swarm optimization PTS, PSO-PTS) algorithm
With C-PTS (conventional PTS, C-PTS) algorithm, TS-PSO-PTS (two stage PSO- used by this programme
PTS, TS-PSO-PTS) algorithm to the CO-OFDM signal of input there is no being split processing at once, but first will be initial
Input signal carries out d grades of IFFT (inverse fast fourier transform, IFFT) transformation, wherein 1≤d≤n-1, so
Carry out the division of sub-block again afterwards, system block diagram is as shown in Fig. 6.
(3) .TS-PSO-PTS algorithm is divided into traditional n grade IFFT operation twice to carry out, and first part is IFFT fortune
Preceding d grades calculated, remaining n-d grades is second part.In preceding d grades of IFFT operation, input data sequence XdataIt is transported by IFFT
Calculation forms first part's M signal sequenceThen by the M signal sequenceIt is divided into M to face
When subsequence, then n-d grades of IFFT operation is carried out to this M grouping.By using PSO-PTS to calculate after two-part IFFT operation
It is minimum all the way finally to choose PAPR in the signal after being converted (peak-to-average power ratio, PAPR) value for method
Signal is transmitted.
(4) operation of the Jing Guo (3) step, after TS-PSO-PTS algorithm, formula (5) can be expressed as：
It can be concluded that, step (1) first initializes CO-OFDM original signal from implementation steps, and utilizes S sequence
To indicate the sequence after sub-block segmentation.In step (2), the present invention program traditional n grade IFFT transformation is divided into come twice into
Row, first part are preceding d grades of IFFT operation, and remaining n-d grades is second part, and convert to obtain the output of the road M by IFFT
Sequence.And in step (3), guarantee going on smoothly for two-part IFFT operation by introducing M signal sequence.By
The signal that step (4) chooses minimum PAPR all the way afterwards is transmitted.
6. combining table 1 to illustrate, since TS-PSO-PTS algorithm mainly carries out PSO-PTS algorithm in the transmitting terminal of signal
It improves, so the part is only with the computation complexity for considering transmitting terminal.In traditional PTS algorithm, it is assumed that sub-carrier number N=
2n, packet count M, phase factor number is W, using random division.When being searched for using traditional optimization algorithm, system needs M altogether
The IFFT of secondary N point is converted.And complex multiplication needed for carrying out the IFFT operation of a N point, the quantity of addition are respectively：
Therefore tradition PTS algorithm carries out the complex multiplication of N point IFFT transformation, additive amount is respectively
nadd=MN log2N.In addition, in order to from WM-1Optimal sequence transmission is selected in a alternative signal, it is also necessary to WM-1(M-1) n times are multiple
Add operation.It is hereby achieved that total complexity of tradition PTS algorithm is：
By (1) formula it can be concluded that total complexity of PSO-PTS algorithm is：
And total complexity of the optimization algorithm proposed is：
CTS-PSO-PTS=Cd-Cn-d (10)
Wherein：
For preceding d grades of computation complexity.
For rear n-d grades of computation complexity, N'=2 in formula (6)n-d。
For the ease of intuitive comparing calculation complexity, computation complexity reduced rate (CCRR) is defined herein and is come to calculating
The reducing effect of complexity is quantified.The CCRR of LC-SLM and I-SLM two schemes comparison C-SLM scheme is defined as：
By the definition of CCRR it is found that the more former algorithm complexity reduction of the new algorithm of the higher proposition of CCRR is then more.
The computation complexity CCRR in W=4 of table 1 is compared
Table 1 illustrates the corresponding CCRR when N and M gets representative value.From the point of view of the data presented in table, the present invention program
It further reduced the computation complexity of PSO-PTS algorithm.In addition, can also be seen that from table：(1) when M, N are constant, with
The increase of remaining series n-d, that is, carry out the increase of the number of IFFT operation again after being grouped, the computation complexity of algorithm can be returned
It rises；(2) when M, n-d are constant, with the increase of subcarrier times N, the computation complexity of algorithm improves bigger, it may be said that should
Algorithm is suitable for the biggish system of sub-carrier number；(3) when N, n-d are constant, as the reduction of its computation complexity of the increase of M is got over
It is more.Sufficiently demonstrating the present invention program has better validity and superiority for computation complexity reduction.
7. illustrating that scheme is to a certain extent for PAPR's in order to further illustrate the present invention in conjunction with attached drawing 7 and attached drawing 8
Rejection has more significant raising, has carried out an experiment below.Meanwhile result-Fig. 7 and Fig. 8 of experiment be by
The simulation result of same number IFFT transformation.
Experiment：
The parameter setting used when 2 analogue simulation of table
It is simulated when by same number IFFT transformation in an experiment, the present invention program (TS-PSO-PTS) is realized
Peak-to-average ratio inhibition performance, as shown in fig. 7, used simulation parameter is as shown in table 2.In addition to this, since PSO algorithm is to CO-
Ofdm system generates certain distorted signals phenomenon, causes to increase the difficulty that original signal is restored in receiving end.So testing
In also simulate PSO-PTS scheme simultaneously the bit error rate (BER) and the BER of the present invention program for details, reference can be made to document " J.Das
and R.Bansode,Performance evaluation of PAPR using PTS-PSO in MIMO-OFDM
systems for various higher ordermodulation schemes[J].International
Conference&Workshop on Electronics&Telecommunication Engineering(ICWET 2016),
Mumbai,2016,pp.213-221.”。
It can be seen from figure 7 that when IFFT number of transitions is identical constantly, C-PTS scheme, PSO-PTS scheme and TS-PSO-
The CCDF curve of tri- kinds of schemes of PTS.The rejection ratio C-PTS scheme and PSO- for the peak-to-average force ratio that the present invention program is realized
The inhibitory effect of PTS scheme is all good.As M=4, the rejection of PAPR is in CCDF=10-4Place, the present invention program compared to
PSO-PTS scheme improves about 0.687dB, improves 1.025dB, the peak-to-average force ratio suppression of CO-OFDM system compared to C-PTS scheme
Performance processed has been significantly improved.As M=8, the rejection of PAPR is in CCDF=10-4Place, the present invention program compared to
PSO-PTS scheme improves 0.325dB, improves 0.894dB compared to C-PTS scheme, the peak-to-average force ratio of CO-OFDM system inhibits
Performance has been significantly improved.
As shown in Figure 8, the bit error rate (BER) performance comparison PSO-PTS scheme of the present invention program has certain sacrifice, but wants
Far better than the BER performance in Clipping scheme.The BER performance of the present invention program is closer to PSO-PTS scheme, but is wanted
Far better than high BER caused by Clipping scheme, this is because partial transmission sequence (PTS) technology is non-distortion class skill
Art can preferably recover original signal, and Clipping process is distortion class technology, produces one to CO-OFDM system
Fixed distorted signals phenomenon causes to increase the difficulty that original signal is restored in receiving end, to produce the higher bit error rate
(BER)。
In conclusion the present invention program in CO-OFDM system, to a certain extent has the rejection of PAPR
It is more significant to improve.Simultaneously it can also be seen that the present invention program be also it is a kind of can take into account peak-to-average force ratio (PAPR) inhibitory effect and
The peak-to-average force ratio Restrain measurement of system-computed complexity.
Finally, it should be noted that the above preferred simulation example is only used to illustrate the technical scheme of the present invention and not to limit it,
Although the present invention has been described in detail by above-mentioned preferred simulation example, those skilled in the art should be managed
Solution, can make various changes to it in the form and details, be limited without departing from claims of the present invention
Range.
Claims (2)
1. the present invention relates to a kind of coherent light orthogonal frequency division multiplexing (coherent optical orthogonal frequency
Division multiplexing, CO-OFDM) system peak-to-average force ratio Restrain measurement, in particular to the improved TS- of a kind of joint
PSO-PTS(two-stage particle swarm optimization partial transmit sequence,TS-
PSO-PTS) peak-to-average force ratio Restrain measurement.The program mainly by based on population (particle swarm optimization,
PSO) algorithm and partial transmission sequence (partial transmit sequence, PTS) technical tie-up improve to realize to peak
The inhibition of ratio.In low complex degree scheme, CO-OFDM signal, but first will be initial defeated there is no being split at once
Enter signal and carry out d grades of IFFT (inverse fast fourier transform, IFFT) transformation, then carries out drawing for sub-block again
Point, the matched-phase factor in PTS algorithm is searched in conjunction with particle swarm algorithm, last reselection peak-to-average force ratio is the smallest to be believed all the way
Number to obtaining optimal peak-to-average ratio inhibition performance.
2. scheme according to claim 1, the present invention program is comprised the steps of：
(1) will have N=2 firstnThe CO-OFDM signal of a subcarrier is expressed as：
Wherein X={ Xk, (k=0,1 ..., N-1) represents the symbol sebolic addressing of input, and t represents discrete-time variable.If definitionWherein TiIt is that the symmetrical matrix of a N × N represents the i-stage of IFFT operation, then formula (1) can weigh
It is written as：
Enable S=[S0S1…SN-1]T, Sk∈ { 1,2 ..., M } come indicate sub-block segmentation after sequence, wherein working as Xm,k=XkWhen, Sk=
m.Then m-th of sub-block index sequence Im=[Im,0Im,1…Im,N-1]TIn Im,kIt can be expressed as：
So m-th of sub-block can be expressed as：
WhereinIt is the diagonal matrix of a N × N, diagonal line is by sub-block index sequence ImIt constitutes.So, the transmission finally obtained
Signal can be expressed as：
(2) next. is different from PSO-PTS (particle swarm optimization PTS, PSO-PTS) algorithm and C-
PTS (conventional PTS, C-PTS) algorithm, TS-PSO-PTS used by this programme (two stage PSO-PTS,
TS-PSO-PTS) algorithm to the CO-OFDM signal of input there is no being split processing at once, but first by initial input
Signal carries out d grades of IFFT (inverse fast fourier transform, IFFT) transformation, wherein 1≤d≤n-1, then again
The division of sub-block is carried out, system block diagram is as shown in Fig. 6.
(3) .TS-PSO-PTS algorithm is divided into traditional n grade IFFT operation twice to carry out, and first part is IFFT operation
D grades first, remaining n-d grades is second part.In preceding d grades of IFFT operation, input data sequence XdataPass through IFFT operation shape
At first part's M signal sequenceThen by the M signal sequenceIt is divided into M interim sons
Sequence, then n-d grades of IFFT operation is carried out to this M grouping.By using PSO-PTS algorithm after two-part IFFT operation,
Finally choose the minimum letter all the way of (peak-to-average power ratio, the PAPR) value of PAPR in the signal after being converted
It number is transmitted.
(4) operation of the Jing Guo (3) step, after TS-PSO-PTS algorithm, formula (5) can be expressed as：
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| CN113179238A (en) * | 2021-04-27 | 2021-07-27 | 中山大学 | Method for reducing peak-to-average power ratio of FBMC-OQAM system |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109889466A (en) * | 2019-04-01 | 2019-06-14 | 重庆邮电大学 | A kind of improved low complex degree PTS peak-to-average force ratio Restrain measurement of joint in optical OFDM system |
| CN113179238A (en) * | 2021-04-27 | 2021-07-27 | 中山大学 | Method for reducing peak-to-average power ratio of FBMC-OQAM system |
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