CN107196886A - A kind of constellation Choose for user method based on selection window - Google Patents

A kind of constellation Choose for user method based on selection window Download PDF

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CN107196886A
CN107196886A CN201710269572.3A CN201710269572A CN107196886A CN 107196886 A CN107196886 A CN 107196886A CN 201710269572 A CN201710269572 A CN 201710269572A CN 107196886 A CN107196886 A CN 107196886A
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fbmc
time
signal
peak
signals
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CN107196886B (en
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刘荣科
杨超三
宋轲欣
叶曦
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Shanghai Aerospace Computer Technology Institute
Beihang University
Shanghai Aerospace Measurement Control Communication Institute
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Shanghai Aerospace Computer Technology Institute
Beihang University
Shanghai Aerospace Measurement Control Communication Institute
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2614Peak power aspects
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/26Systems using multi-frequency codes
    • H04L27/2601Multicarrier modulation systems
    • H04L27/2626Arrangements specific to the transmitter only
    • H04L27/2627Modulators
    • H04L27/264Pulse-shaped multi-carrier, i.e. not using rectangular window
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/32Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
    • H04L27/34Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
    • H04L27/3405Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power

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

Abstract

The invention provides a kind of constellation Choose for user method based on selection window, belong to the communications field, peak-to-average force ratio is reduced for filter bank multi-carrier signal.The present invention is during FBMC signal modulations, peak-to-average force ratio is calculated in the selection of time window of setting, the length of selection of time window is less than the duration of a symbol signal, and the forward position of time window position selection time, then peak-to-average force ratio is calculated, the FBMC signals of optimal peak-to-average force ratio are chosen, when modulating FBMC signals, the FBMC signals of the optimal peak-to-average force ratio of previous moment and the simulation FBMC signals of later moment in time are superimposed.The present invention reduces the length for calculating window suitable for the modulated process of SMT class signals when calculating every time, and the window's position is preposition, and peak-to-average force ratio is reduced on the basis of complexity is not increased, and 0.2dB can be reduced compared to existing DSLM methods peak-to-average force ratio.

Description

A kind of constellation Choose for user method based on selection window
Technical field
The invention belongs to communication technical field, and in particular to a kind of constellation Choose for user method based on selection window (WSLM), the reduction peak-to-average force ratio (PAPR) for filter bank multi-carrier signal.
Background technology
In the case where temporal frequency all accomplishes synchronization, multi-transceiver technology can obtain higher spectrum efficiency.Wave filter Group multicarrier (Filter Bank MultiCarrier, FBMC) will be applied onto in New generation broadband wireless access technology, replace The position of OFDM (OFDM, Orthogonal Frequency Division Multiplexing) technology.Compare Ofdm signal, FBMC has preferable frequency domain side lobe steep drop characteristic, phase noise robustness and compensated frequency characteristic.But need FBMC itself some defects are resolved, such as, are limited to the nonlinear characteristic of high power amplifier, higher peak-to-average force ratio will Larger non-linear distortion is caused to signal, therefore it is significantly to study reliable and effective reduction Peak-to-Average Power Ratio method.
Well known in the art, traditional can be divided into three classes for the FBMC methods for reducing peak-to-average force ratio:Distorted signals class side Method, probability class method and coding class method.Distorted signals class method such as shearing and filtering, companding, peak value offset method, all have There is the characteristics of computation complexity is low, but distorted signals can be caused, influence error rate of system performance.Probability class method and coding class Method does not interfere with error rate of system performance, but computation complexity is high, especially because what FBMC signal time domains were overlapped mutually Influence, peak-to-average force ratio reducing effect is simultaneously bad.
The invention belongs to probability class method, comparative maturity has DSLM (Dispersive in existing probability class method Selective Mapping) method and TSLM (trellis-based selected mapping) method.It is open in 2014 Document " Reduction of PAPR for FBMC-OQAM Systems using Dispersive SLM In Technique ", author Chaitanya BULUSU, Hmaied SHAIEK, Daniel ROVIRAS, and Rafik ZAYANI proposes DSLM methods, phase place can be made a change according to front end time-domain signal, but have ignored rear end time domain The influence of signal, peak-to-average force ratio declines undesirable.Document " the Potency of Trellis-based SLM disclosed in 2015 In over symbol-by-symbol approach in reducing PAPR for FBMC-OQAM Signals ", author Chaitanya BULUSU, Hmaied SHAIEK and Daniel ROVIRAS propose TSLM methods, and TSLM methods are in phase The influence of front and rear time-domain signal is with reference to during selection, with preferable reduction peak-to-average force ratio effect, but computation complexity increases.
The content of the invention
The purpose of the present invention is on the premise of computation complexity is not increased, while considering the shadow of front and back end time-domain signal Ring, reduce the peak-to-average force ratio of FBMC signals.The invention provides a kind of constellation Choose for user method (WSLM) based on selection window, fit For all SMT (Staggered Modulated Multitone) class FBMC signals.
The constellation Choose for user method based on selection window that the present invention is provided, during FBMC signal modulations, is being set Selection of time window in calculate peak-to-average force ratio.The length of described selection of time window is less than the duration of a symbol signal, and The forward position of time window position selection time;According to the peak-to-average force ratio calculated, the FBMC letters of optimal peak-to-average force ratio are therefrom chosen Number.
Further, the constellation Choose for user method of the invention based on selection window, during FBMC signal modulations, To PPN (the Poly Phase through the pretreated signal vector input signal time domain superpositions of OQAM (Offset Quadrature Amplitude modulation) Network) handled in structure.The codeword sequence received in described PPN structures comes from two parts;Part I is m bit symbols Code word before moment, is the selectively postrotational code word of optimum angle obtained from memory cell;Part II is m bit symbols The code word at moment, is obtained from input.Each codeword sequence of input is first subjected to corresponding time migration behaviour in PPN structures Make, and with respective filtering shaping signal multiplication, final all code element fragment signal superpositions draw the FBMC after time domain superposition Signal.
One of constellation Choose for user method of the present invention based on selection window, which implements step, to be included:
Step 1:FBMC signals are received, U road extensions are carried out for next step phase place;U is positive integer.
Step 2:Phase place is carried out to signal, generation U has the FBMC signals of different peak-to-average ratio.
Step 3:Modulation produces the FBMC signals being superimposed with time domain, the FBMC Signal averagings at current time previous moment The FBMC signals of optimal peak-to-average force ratio and the simulation FBMC signals of later moment in time.
Step 4:The peak-to-average force ratio of FBMC signals is calculated in the selection of time window of setting, if selection of time window length is T.
Step 5:Choose the FBMC signals of optimal peak-to-average force ratio
Step 6:The optimal sequence vector of this code element is stored, so that next symbol signal carries out time superposition.
Step 7:Optimal FBMC signals are exported, output time window is the T durations foremost of this code element, below FBMC signals are not exported.
Advantages of the present invention is with good effect:
(1) constellation Choose for user method of the present invention based on selection window carries out fair comparison when PAPR is calculated, every time meter The length for calculating window is reduced during calculation, the redundancy that peak-to-average force ratio is calculated is reduced.It is simultaneously that the window's position is preposition, it is unknown to reduce latter position The participation proportion of code element, peak-to-average force ratio is reduced on the basis of complexity is not increased.
(2) constellation Choose for user method of the present invention based on selection window is due to the overlapping spy of the symbol time of FBMC signals Point, the code element information of later moment in time is not inputted so that the waveform aft section of whole signal is congenital to be collapsed, independent selection Optimal rotatable phase can not reach the minimum peak-to-average force ratio of FBMC signals.The latter code of simulation is added when the inventive method is calculated every time The signal of member, is compensated, the signal simulated is value ordinary circumstance to latter bit code metamessage.
(3) constellation Choose for user method of the present invention based on selection window realizes the PPN frameworks of FBMC signals time domain superposition, Computation complexity can be reduced.
Brief description of the drawings
Fig. 1 is FBMC of the present invention structural representation;
Fig. 2 is FBMC/OQAM signal elements time domain stacking chart of the present invention;
Fig. 3 is the SLM algorithmic system block diagrams that the present invention is directed to FBMC signals;
Fig. 4 is the PPN structural representations of the present invention;
Fig. 5 is the selection window position schematic diagram that peak-to-average force ratio of the present invention is calculated.
Embodiment
Below in conjunction with drawings and examples, the present invention is described in further detail.
The inventive method is applied to solve the problems, such as the high peak-to-average power ratio of FBMC signals, overlapping for the symbol time of FBMC signals The characteristics of, the code element information of later moment in time is not inputted so that the aft section of whole signal waveform is congenital to be collapsed, independently Optimal rotatable phase is selected to reach the minimum peak-to-average force ratio of FBMC signals.The present invention carries out fair ratio when peak-to-average force ratio is calculated Compared with, the length for calculating window is reduced when calculating every time, and the window's position is preposition, and peak is reduced on the basis of complexity is not increased Compare.
The FBMC signals that the inventive method is directed to refer in particular to SMT signals, as shown in figure 1, input signal is used as each subcarrier frequency Thresholding inputs FBMC systems,N-th subcarrier, the real part information of m bit symbols are represented,Represent n-th subcarrier, m The imaginary part information of code element.Using OQAM (Offset Quadrature Amplitude modulation) pattern, imaginary number domain signal is with respect to real number field signal delay half Individual symbol period.Device group is filtered OQAM types signal after filtering, if p1(t)、p2(t) different ptototype filters are represented.After filtering Signal modulation into each sub-carrier channels, sent after carrier modulation.Reception system uses symmetrical with emission system Structure.
The mathematical modeling of FBMC signals is formula (1), xtrans(t) the FBMC signals of t output are represented.
Wherein, τ0Represent the time migration duration of OQAM patterns, τ0=pi/2;an,mThe modulation symbol of FBMC signals is represented,N represents the number of subcarriers of FBMC signals;m For the sequence number of code element, n represents subcarrier sequence number.fcRepresent carrier frequency;T0Represent FBMC symbol period, f0=1/T0;p(t- mτ0) represent ptototype filter data;Represent n-th of subcarrier of OQAM mode signals, the phase information of m bit symbols. It is 0 in the even number bit symbols value of even bit subcarrier, is 0 in the odd number bit symbols value of odd bits subcarrier, in even bit The odd number bit symbols value of subcarrier is pi/2, is pi/2 in the even number bit symbols value of odd bits subcarrier.
SMT ptototype filter has the various filters such as PHYDYAS, Gauss, IOTA, and their mathematical modeling is respectively Formula (2), (3), (4).
A represents original signal highest amplitude in formula (2), and Λ represents PHYDYAS filter taps sum, BλRepresent PHYDYAS filter tap coefficients, LFPHYDYAS filter lengths are represented, λ represents PHYDYAS filter taps number, N ' expressions Original signal unit element length;A represents Gauss filter factors, L in formula (3)F' represent Gauss filter lengths;Formula (4) Middle x (t) represents input signal, and a' represents IOTA filter factors, and k represents IOTA wave filter time shift coefficients.
Receiving terminal demodulates FBMC process such as formula (5):
Represent the modulation symbol of FBMC signals demodulated, Xreceive(t) the FBMC signals received are represented,It is The operation of real part is taken to signal.
PAR of carrier signal (PAPR) is defined as signal maximum peak power and letter in a FBMC symbol period The ratio of number mean power.
In formula 6, N ' expression original signal unit element length, xnRepresent FBMC time-domain signals.
Because the probability that the theoretic maximums of PAPR occur is very small, therefore FBMC is characterized with PAPR statistical distribution The PAPR of signal characteristic is more more meaningful than with PAPR maximum.Generally described with complementary Cumulative Distribution Function (CCDF) PAPR performance is as follows:
CCDF[PAPR(xn)]=Pr [PAPR (xn) > PAPR0] (7)
PAPR0Represent peak-to-average force ratio contrast reference value.
Fig. 2 show FBMC/OQAM signal element time domain stacking charts, and abscissa represents the time (Time), and ordinate is represented Mean power (Mean Power), as can be seen from the figure the adjacent symbol signal of FBMC signals be it is overlapped, for The unit peak-to-average ratio of each code element can only be accomplished local optimum by the SLM drop peak-to-average force ratio algorithms of ofdm signal design, synthesis FBMC signals between code element due to influencing each other, and final peak-to-average force ratio can not reach minimum effect.
The present invention is using during FBMC signal modulations.As shown in Figure 3.Each symbol time have the frequency domain value of N to Measure Cm, input signal CmIt is multiplied by U roads phase rotation coefficient P paralleliGenerate sub-carrier vectorThen each subcarriers frequency domain value After constellation mapping, the OQAM pretreatments of IQ (inphase quadrature) road separation are carried out.Vector after being handled through OQAMIt is input to In PPN structures, the minimum signal all the way of selection peak-to-average force ratio after signal synthesis.The innovative point of the present invention is that PPN structures change Make and minimum peak-to-average force ratio selection process.The FBMC signal generation processes for describing a bit code word cell are as follows:
The first step:The FBMC character signals of N subcarriers are inputted, U identical frequency domain vector is generated.
It is frequency domain vector, ψ represents phase information, and n is subcarrier sequence number.
Input signal is the output result after original information bits serial to parallel conversion, is used as IFFT (discrete Fu of FBMC signals In leaf inverse transformation) conversion front end each sub-carrier frequency domain value, be used as frequency domain vector.In order to which next step performs different phase places Prepare, U roads frequency domain vector is obtained by input signal, each road information concurrent operation, until carrying out selection optimal sequence computing.
Second step:Add phase rotation coefficient.Per road incoming symbol vector CmIt is different by phase place generation U
⊙ represents point multiplication operation, θuBe byThe vector of composition.
This step is identical with the common SLM algorithms of ofdm signal, and meaning is to give birth to multi-carrier signal by phase place Into with the multifarious signal of phase.Pass through OQAM processing, the modulation symbol of FBMC signalsByIt is transformed,Generation Table passes through n-th of subcarrier after phase place, the information of m bit symbols.In figure 3, system block diagram has shown parallel u roads Selective signal, and the modulation symbol vector of FBMC signalsInclude multichannel subcarrier modulation symbolsShared U Individual FBMC time history synthesis signal needs selection.
3rd step:Modulation.In view of front signal it is overlapping, m bit signs modulate when FBMC signals be expressed as follows:
Wherein, Su(t) ≠ 0, Su(t) represent to treat for u-th the FBMC time history synthesis signals of selection, time Represent u-th of vector of the modulation symbol of FBMC signals, T0Represent code-element period,Remaining influence of the symbol signal at the m bit symbols moment before m is represented, that is, before the m bit symbols moment The FBMC signals of optimal peak-to-average force ratio.Represent that the code element after m is expected residual shadow of the signal at the m bit symbols moment Ring, that is, the m bit symbols moment simulation FBMC signals.p(t-m′T0/ 2) represent the wave filter ripple after elapsed time translation Shape.Represent n-th of subcarrier of OQAM mode signals, the phase information of m ' bit symbols.
This step is the process of FBMC signal time history synthesis, and each character signal obtains time domain and extends and enter in this step Row time domain plyability adds up.Lodge improved PPN structures when realizing, improvements are the code words at non-moment from SLM algorithms The memory cell of (SLM algorithms belong to probability class method) is obtained.The FBMC Signal averagings code word of the optimal peak-to-average force ratio of previous moment The simulation character signal of signal and later moment in time.
The present invention realizes the PPN frameworks of FBMC signals time domain superposition.Original PPN structures are to receive original code word, and Respective wave filter is sequentially added according to code word time sequencing to be filtered and time domain extension, the extension signal of obtained each code word Temporally carry out time domain superposition.The improved PPN structures of the present invention are as shown in figure 4, the codeword sequence of input is from two parts.
Part I, the codeword information before the m bit symbols moment is obtained from the memory cell of WSLM selectors, that is, is inputted It is the selectively postrotational code word of optimum angle, computation complexity can be reduced by being obtained from memory cell.
Part II, the code word at m bit symbols moment is obtained from input, and the code word at m bit symbols moment carries different phases Position selection information, is the difference of the parallel PPN structures in each road.
By new PPN structures, each codeword sequence of input first carries out corresponding time migration operation, and with respective filter Ripple shaped signal is multiplied, final all code element fragment signal superpositions, draws the FBMC signals after time domain superposition.
In Fig. 4, modulation symbol vectorIt is transformed to through IFFTFor input signal Part I,For m Codeword information before the bit symbols moment, is input signal Part II.What p (n) was represented in figure is filtering shaped signal.
4th step:Peak-to-average force ratio is calculated.Calculate a cycle T0Interior Su(t) PAPR, it is as follows:
T0Including time range be [mT0+1.5T0,mT0+2.5T0]。
The length for focusing on selection of time window of the present invention and position selection, particular location are as shown in Figure 5.If code element is all Phase is T0, i.e. the shift length of adjacent symbol times, the length T of selection of time window are set to T0.Each symbol signal continues Time is according to the decision of FBMC filter length, e.g. 4.5T0.Peak-to-average force ratio selection window in existing method is a code element letter Number duration, such as be 4.5T0.The preferred selection of time window of the inventive method is changed to T0, and time window position selection time Forward position.
The present invention carries out fair comparison when PAPR is calculated, and the length for calculating window is reduced when calculating every time, reduces peak-to-average force ratio The redundancy of calculating, while the window's position is preposition, to reduce the participation proportion of the unknown code element in latter position, realization is not increasing complexity Peak-to-average force ratio is reduced on the basis of degree.
5th step:Selection.According to signal Su(t) corresponding minimum PAPR Selecting All Parameters u, be by the parameter tags of selection uminIt is as follows,
Having U FBMC time history synthesis signal needs selection, numbers from 0 to U-1, therefrom chooses optimized parameter umin, correspondence The FBMC signals of optimal peak-to-average force ratio be
6th step:Storage updates.The present invention utilizes uminUpdate currentWith
The FBMC signals of the optimal peak-to-average force ratio of previous moment are updated, are divided into even sections, it is as follows:
Wherein, real () represents the number of winning the confidence real part, and imag () represents the number of winning the confidence imaginary part, CmFor input signal,To be right The optimal rotating vector answered.
Update the simulation FBMC signals of later moment in timeFor:
Wherein,The rate of specific gravity of former average signal is represented,Represent the rate of specific gravity of new signal.Memory cell storage Represent I roads and the Q roads signal of this moment code word.It is the time domain sequences selected by optimal peak-to-average force ratio, will Used as past codeword sequence during next cycle operation.
Memory cell storageFor simulating the unknown codeword sequence of later moment in time.
The purpose of this step is to provide the data needed when carrying out three steps next time.
7th step:Export Smin(t), Smin(t) selected and gone out according to the calculating of the 4th step, output time window is [mT0,mT0+ T0], that is, T duration FBMC foremost are exported, 3.5T signals below can not be exported, also need to carry out next character signal synthesis. While optimal rotating vectorAs the side information of transmission, for receiving terminal unsuccessful demodulation.Next step goes to the first step, repeats Row next bit symbol Cm+1Processing.

Claims (7)

1. a kind of constellation Choose for user method based on selection window, during FBMC signal modulations, it is characterised in that the party Method calculates peak-to-average force ratio in the selection of time window of setting, and the length of described selection of time window is less than continuing for symbol signal Time, and the forward position of time window position selection time;According to the peak-to-average force ratio calculated, optimal peak-to-average force ratio is therefrom chosen FBMC signals.
2. a kind of constellation Choose for user method based on selection window according to claim 1, it is characterised in that when described Between the length of selection window be set to the shift lengths of adjacent symbol times.
3. a kind of constellation Choose for user method based on selection window according to claim 2, it is characterised in that when described Between selection window choose position be [mT0+1.5T0,mT0+2.5T0], m is the sequence number of code element, T0Represent code-element period.
4. a kind of constellation Choose for user method based on selection window according to claim 1, it is characterised in that this method pair Handle, received in described PPN structures in PPN structures through the pretreated signal vector input signal time domain superpositions of OQAM Codeword sequence comes from two parts;Part I be the m bit symbols moment before code word, be the optimum angle obtained from memory cell The postrotational code word of selectivity;Part II is the code word at m bit symbols moment, is obtained from input;Will input in PPN structures Each codeword sequence first carry out corresponding time migration operation, and with respective filtering shaping signal multiplication, final all codes First fragment signal superposition, draws the FBMC signals after time domain superposition.
5. a kind of constellation Choose for user method based on selection window according to claim 4, it is characterised in that when described The acquisition of FBMC signals after the superposition of domain is:If u-th of FBMC time history synthesis signal is Su(t), calculated according to following formula:
Wherein, Su(t) ≠ 0, the timeM is the sequence number of code element, T0Represent code-element period, Remaining influence of the symbol signal at the m bit symbols moment before m is represented,Represent that the code element after m is pre- Remaining influence of the phase signal at the m bit symbols moment, p (t-m ' T0/ filter shape after elapsed time translation 2) is represented, N is represented Subcarrier way,The modulation symbol that u-th of expression FBMC signals,Represent OQAM mode signals n-th subcarrier, m ' The phase information of bit symbols;N-th of subcarrier of OQAM mode signals, the phase information of m bit symbols are represented, at even number seat The even number bit symbols value of carrier wave is 0, is 0 in the odd number bit symbols value of odd bits subcarrier, in the strange of even bit subcarrier Numerical digit code element value is pi/2, is pi/2 in the even number bit symbols value of odd bits subcarrier.
6. according to any a kind of described constellation Choose for user methods based on selection window of claim 1-5, it is characterised in that institute The method of stating comprises the following steps:
Step 1:FBMC signals are received, U road extensions are carried out for next step phase place;U is positive integer;
Step 2:Phase place is carried out to signal, generation U has the FBMC signals of different peak-to-average ratio;
Step 3:Modulation produces the FBMC signals being superimposed with time domain, and the FBMC Signal averagings at current time previous moment is optimal The FBMC signals of peak-to-average force ratio and the simulation FBMC signals of later moment in time;
Step 4:The peak-to-average force ratio of FBMC signals is calculated in the selection of time window of setting;If selection of time window length is T;
Step 5:Choose the FBMC signals of optimal peak-to-average force ratio;
Step 6:The optimal sequence vector of this code element is stored, so that next symbol signal carries out time superposition;
Step 7:Optimal FBMC signals are exported, output time window is the T durations foremost of this code element, FBMC letters below Number do not export.
7. a kind of constellation Choose for user method based on selection window according to claim 6, it is characterised in that described step Rapid 6 are specifically:If in step 5 from the FBMC signals of U different peak-to-average ratio, the FBMC signals for selecting optimal peak-to-average force ratio areuminFor the numbering of FBMC signals, corresponding optimal rotating vector is expressed asU is utilized in step 6minBefore renewal The FBMC signals of one moment optimal peak-to-average force ratio, including odd even two partsWithIt is as follows:
Wherein, real () represents the number of winning the confidence real part, and imag () represents the number of winning the confidence imaginary part, CmFor input signal;
Update the simulation FBMC signals of later moment in timeFor:
Wherein,The rate of specific gravity of former average signal is represented,Represent the rate of specific gravity of new signal.
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CN108848047A (en) * 2018-07-02 2018-11-20 重庆邮电大学 A kind of filter bank multi-carrier transmitter implementation method
CN109474412A (en) * 2018-12-28 2019-03-15 西北工业大学 A kind of general filtering multi-carrier method based on Choose for user

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108848047A (en) * 2018-07-02 2018-11-20 重庆邮电大学 A kind of filter bank multi-carrier transmitter implementation method
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CN109474412B (en) * 2018-12-28 2021-04-20 西北工业大学 General filtering multi-carrier method based on selective mapping

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