CN107135057A - A kind of efficient frequency division multiplexing Waveform generation method expanded based on zero hangover DFT - Google Patents
A kind of efficient frequency division multiplexing Waveform generation method expanded based on zero hangover DFT Download PDFInfo
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- CN107135057A CN107135057A CN201710305428.0A CN201710305428A CN107135057A CN 107135057 A CN107135057 A CN 107135057A CN 201710305428 A CN201710305428 A CN 201710305428A CN 107135057 A CN107135057 A CN 107135057A
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L5/00—Arrangements affording multiple use of the transmission path
- H04L5/0001—Arrangements for dividing the transmission path
- H04L5/0003—Two-dimensional division
- H04L5/0005—Time-frequency
- H04L5/0007—Time-frequency the frequencies being orthogonal, e.g. OFDM(A), DMT
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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
- H04L27/261—Details of reference signals
- H04L27/2613—Structure of the reference signals
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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
- H04L27/2614—Peak power aspects
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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
- H04L27/2626—Arrangements specific to the transmitter only
- H04L27/2627—Modulators
- H04L27/2634—Inverse fast Fourier transform [IFFT] or inverse discrete Fourier transform [IDFT] modulators in combination with other circuits for modulation
- H04L27/2636—Inverse fast Fourier transform [IFFT] or inverse discrete Fourier transform [IDFT] modulators in combination with other circuits for modulation with FFT or DFT modulators, e.g. standard single-carrier frequency-division multiple access [SC-FDMA] transmitter or DFT spread orthogonal frequency division multiplexing [DFT-SOFDM]
Abstract
The present invention proposes the efficient frequency division multiplexing Waveform generation method expanded based on zero hangover DFT of a kind of high spectrum effect, low strap external leakage and low peak average ratio, belongs to Information ＆ Communication Technology field.The present invention comprises the following steps：Step one：Carry out zero padding end to end to transmitting terminal modulation symbol, obtains time domain and sends symbol sebolic addressing, and the DFT expansions that symbol sebolic addressing progress N points are sent to time domain are converted, and obtain frequency-region signal vector；Step 2：(1 α) N/ α zero are filled at the end of obtained frequency-region signal vector, subcarrier maps are carried out to the frequency-region signal vector after zero padding；Step 3：Signal phasor after sub-carrier mapping carries out K points IFFT conversion, rear (1 α) the N/ α data of the frequency-region signal vector obtained after conversion are abandoned, remaining N number of data are that the time domain with zero hangover feature sends symbolic vector, and its waveform formed is the efficient frequency division multiplexing waveform of generation；Wherein, α represents the Spectrum compression factor, α=N/K.
Description
Technical field
It is more particularly to a kind of to be expanded based on zero hangover DFT the present invention relates to a kind of efficient frequency division multiplexing Waveform generation method
Efficient frequency division multiplexing Waveform generation method, the invention belongs to Information ＆ Communication Technology field.
Background technology
The demand of 5G epoch higher transmission rate is to meet machine to machine communication, data transmission of internet of things, Yi Jirong
Close conventional mobile communications etc., frequency spectrum resource more seems rare, OFDM (OFDM) with ensure between subcarrier it is orthogonal most
Closely-spaced deployment subcarrier spectrum division of resources has the higher availability of frequency spectrum, but the more quick data that face the future are passed
Defeated rate requirement, the orthogonal transmission plan of subcarrier is no longer applicable completely.In the case of meeting identical traffic speed, Izzat
Non-orthogonal SEFDM (efficient frequency division multiplexing) transmission plan that Darwazeh et al. is proposed can be on the basis of OFDM spectrum structures
On further compression subcarrier spacing reach save frequency spectrum resource purpose.SEFDM is transmitted as a kind of non-orthogonal multi-carrier
Scheme receives much concern in 5G candidate's Waveform Designs.
Recently, Izzat Darwazeh have carried out some SEFDM experiments in wireless communication system and optical communication system in.
In a wireless communication system, CA-SEFDM (united carrier polymerize CA and SEFDM) is further on the basis of giving using bandwidth
Message transmission rate is lifted, while being tested analysis to system errors performance and frequency effect performance, research shows CA-SEFDM
With the error performance close to CA-OFDM, but there is higher spectrum efficiency compared to CA-OFDM, CA-SEFDM；It is logical in light
In letter, 3.75Gbit/s 60GHz mm wave RFs optical fiber has been used to carry out test test, O-SEFDM (optics SEFDM) is compared
In O-OFDM (optical OFDM) bandwidth conservation about 25%, and O-OFDM identical error performances can be reached, and in same spectrum
Further test shows that low-order-modulated can replace high order modulation to reach better performance under conditions of effect.Andrey
Rashich et al. gives the SEFDM receiver designs based on FFT, it is proposed that one kind is based on FFT and max-log-MAP
Algorithm and iterative receiver algorithm.Tongyang Xu and Izzat Darwazeh further provide a kind of new waveform
Nyquist-SEFDM is designed, the program utilizes the subcarrier spacing compression bandwidth lifting spectrum efficiency less than character rate, simultaneously
Pulse shaping suppression frequency spectrum is carried out to each subcarrier using root raised cosine filter to sew, but root raised cosine filter pulse
Shaping has also attracted inter-sub-carrier interference again, and subcarrier deployment of the SEFDM less than character rate in itself carries sub- load
Disturbed between ripple, therefore inter-sub-carrier interference dual Nyquist-SEFDM increases receiver design complexities.Sergey
V.Zavjalov et al. is optimized to SEFDM signal envelopes, and providing optimum signal envelope design method increases each subcarrier
Signal duration reaches the purpose of subband bandwidth reduction, and research shows that relative to OFDM bandwidth shared by 32% can be reduced.
In summary, SEFDM as a kind of efficient frequency division multiplexing using non orthogonal transmissions system reduce subcarrier between
Every reaching that compression frequency spectrum further lifts spectrum efficiency, but the inter-sub-carrier interference that nonopiate system can not be brought is to a certain degree
On be degrading signal transmission sideband leakage, be unfavorable for energy concentration, on the other hand result in higher signal peak-to-average ratio.
The content of the invention
In view of the above-mentioned problems, the present invention propose a kind of high spectrum effect, low strap external leakage and low peak average ratio based on zero hangover DFT
The efficient frequency division multiplexing Waveform generation method expanded.
A kind of efficient frequency division multiplexing Waveform generation method expanded based on zero hangover DFT of the present invention, is comprised the following steps：
Step one：Carry out zero padding end to end to transmitting terminal modulation symbol, obtains time domain and sends symbol sebolic addressing, time domain is sent
The DFT that symbol sebolic addressing carries out N points expands conversion, obtains frequency-region signal vector；
Step 2：(1- α) N/ α zero are filled at the end of obtained frequency-region signal vector, to the frequency-region signal after zero padding
Vector carries out subcarrier maps；
Step 3：Signal phasor after sub-carrier mapping carries out K points IFFT conversion, the frequency-region signal that will be obtained after conversion
Rear (1- α) the N/ α data of vector are abandoned, and remaining N number of data are that the time domain with zero hangover feature sends symbolic vector, its
The waveform of formation is the efficient frequency division multiplexing waveform of generation；
Wherein, α represents the Spectrum compression factor, α=N/K.
The time domain with zero hangover feature sends symbolic vector and is：
X=[x0,...,xn,...,xN-1]T；
Wherein, the time domain with zero hangover feature sends symbol sebolic addressingXkFor the frequency after zero padding
Data in the signal phasor X of domain.
The peak-to-average force ratio that the time domain with zero hangover feature sends symbol sebolic addressing is：
Wherein, E [] represents expectation function.
The power spectral density that the time domain with zero hangover feature sends symbol sebolic addressing is：
Wherein, the power spectrum of pulse shaping functionWherein TSSymbol period is represented, R (m) is represented
It is delayed as m auto-correlation functions, f represents frequency.
Above-mentioned technical characteristic can in any suitable manner be combined or substituted by equivalent technical characteristic, as long as can reach
To the purpose of the present invention.
The beneficial effects of the present invention are the present invention is nonopiate for a kind of high spectrum effect, low strap external leakage and low peak average ratio
Efficient frequency division multiplexing Waveform generation method, uses the nonorthogonal polynomials expansion based on IFFT between the subcarrier less than character rate
Every deployment signal occupied bandwidth, and then the availability of frequency spectrum is lifted, the peak-to-average force ratio for sending signal is reduced using DFT expanding methods, is entered
One step uses sending data symbol that the method construct time domain of zero padding sends signal and has the hangover reduction that power goes to zero end to end
The peak-to-average force ratio of signal is sent, this method effectively accelerates sideband attenuation speed.
Brief description of the drawings
Fig. 1 illustrates to generate the principle based on the zero hangover DFT efficient frequency division multiplexing waveforms expanded in embodiment
Figure；
Fig. 2 expands efficient frequency division multiplexing time domain signal waveform for the single zero hangover DFT generated in embodiment；
Fig. 3 is the efficient frequency-division multiplex singal time domain waveform of the multiple zero hangovers DFT expansions generated in embodiment；
Fig. 4 a to Fig. 4 d are respectively the SEFDM power spectrum densities generated when compressibility factor is 0.5,0.7,0.9 and 1
Schematic diagram, wherein SEFDM represent conventional SEFDM signals, and DFT-SEFDM represents to use what is generated with DFT transform existing method
SEFDM signals, the SEFDM signals that the ZT-DFT-s-SEFDM present invention is generated；
Fig. 5 be in embodiment compression because the ZT-DFT-s-SEFDM signal peak-to-average powers that son is generated when being 0.5 and 0.8
Than the schematic diagram of complementary cumulative probability density function.
Embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, complete
Site preparation is described, it is clear that described embodiment is only a part of embodiment of the invention, rather than whole embodiments.It is based on
Embodiment in the present invention, those of ordinary skill in the art obtained on the premise of creative work is not made it is all its
His embodiment, belongs to the scope of protection of the invention.
It should be noted that in the case where not conflicting, the embodiment in the present invention and the feature in embodiment can phases
Mutually combination.
The invention will be further described with specific embodiment below in conjunction with the accompanying drawings, but not as limiting to the invention.This
A kind of efficient frequency division multiplexing Waveform generation method based on zero hangover DFT expansions described in embodiment comprises the following steps：
Step one：Carry out zero padding end to end to transmitting terminal modulation symbol, obtains time domain and sends symbol sebolic addressing, time domain is sent
The DFT that symbol sebolic addressing carries out N points expands conversion, obtains frequency-region signal vector：
This implementation embodiment is implemented in emitter, as shown in figure 1, bit information sends sequence generates tune by modulator
Symbol packet d=[d processed0,...,dm,...,dM-1]T, M is packet of modulation symbols length, by the way that to modulation symbol, zero padding is obtained end to end
ArriveWherein, NhFor head zero padding number, NtFor afterbody zero padding number, the symbolic vector s after zero padding passes through
The DFT transform of N points obtains S=[S0,...,Sk,...SN-1]T：
S=FN·s (1)
Wherein, FNRepresent leaf transformation matrix, wherein F in normalized N point discrete FouriersNLine n kth list be shown as：
Step 2：(1- α) N/ α zero are filled at the end of obtained frequency-region signal vector, are obtained
Subcarrier maps are carried out to the frequency-region signal vector X after zero padding；Step 3：Signal phasor after sub-carrier mapping carries out K points
IFFT is converted, and IFFT output signals are expressed as：Wherein,Inverse-transform matrix in K quick Fu of normalization is represented,
Rear (1- α) the N/ α data of the frequency-region signal vector obtained after conversion are abandoned, remaining N number of data are special with zero hangover
The time domain levied sends symbolic vector：X=[x0,...,xn,...,xN-1]TWherein, the time domain with zero hangover feature sends symbol
SequenceXkFor the data in the frequency-region signal vector X after zero padding, α represents the Spectrum compression factor, and α=
N/K.The waveform that there is present embodiment the time domain of zero hangover feature to send symbol sebolic addressing formation is the height that present embodiment is generated
Imitate frequency division multiplexing waveform.
The zero hangover DFT that Fig. 2 and Fig. 3 give present embodiment formation expands efficient frequency-division multiplex singal time domain waveform.
Wherein, Fig. 2 is that single zero hangover DFT expands efficient frequency division multiplexing time domain signal waveform, and Fig. 3 expands high for multiple zero hangover DFT
Imitate frequency division multiplexing time domain signal waveform.As can be seen from Figure 3 each symbol carry a power level off to zero hangover, phase
Compared with conventional SEFDM signal waveforms, present embodiment possesses more preferable receiver synchronous characteristic, meanwhile, the CP compared to OFDM
Design, present embodiment can adaptively be set greater than the multidiameter delay of wireless channel by the length of the hangover of adjustment zero, and then
Resist multipath channel decline.Zero hangover time-domain signal is wherein calculated to be expressed as：
Wherein,
QDFTThe DFT for representing N × M expands subcarrier maps matrix, QIFFTRepresent K × N IFFT matrixes.Therefore, zero hangover
The power calculation of time-domain signal is expressed as：
Assuming that sending the energy normalizing of modulation symbol, matrix PhIn m-th of element representation be：
0≤m≤N it can be seen from formula (4)h- 1, M/N≤n≤(N-1)/N, therefore, 0≤m/K≤α (Nh- 1)/N, wherein
m/K≠n,So Ph(m), m=0 ..., Nh- 1 can obtain leveling off to the distribution of zero smaller power.
Present embodiment generation have zero hangover feature time domain send symbol sebolic addressing power spectral density be：
Wherein, the time domain with zero hangover feature sends the power spectrum of symbol sebolic addressing
The power spectrum of pulse shaping functionWherein TSRepresent symbol period, R (m) represent delay as
M auto-correlation functions, f represents frequency.
Present embodiment is by taking rectangular pulse as an example；
Comparative illustration, conventional SEFDM signals are represented using SEFDM for convenience, and DFT-SEFDM represents to use band DFT to become
Change the SEFDM signals of existing method generation, the SEFDM signals that the ZT-DFT-s-SEFDM present invention is generated；.
Fig. 4 a to Fig. 4 d represent ZT-DFT-s-SEFDM and DFT- when compressibility factor is 0.5,0.7,0.9 and 1 respectively
SEFDM, SEFDM power spectral density contrast situation, under four different compressibility factors that Fig. 4 is provided ZT-DFT-s-SEFDM with
DFT-SEFDM, SEFDM power spectrum density, contrast show that zero hangover DFT of present embodiment expands the generation of SEFDM waveforms
Method has Out-of-band rejection effect more carefully.Wherein, DFT-SEFDM represents Nh=0, NtZT-DFT-s-SEFDM spy when=0
Different situation.Wherein emulation sets as follows, and SEFDM subcarriers number is 512, and modulation system is QPSK, ZT-DFT-s-SEFDM's
Zero padding is designed as Nh=5, Nt=7.
ZT-DFT-s-SEFDM peak-to-average force ratio is in present embodiment：
Wherein, E [] represents expectation function；
The complementary cumulative probability Density functional calculations of peak-to-average force ratio are expressed as：
PAPRCCDF=Pr (λ>PAPR) (8)
Wherein, Pr () represents probability statistics operator.
Fig. 5 gives the ZT-DFT-s-SEFDM signal peak-to-average ratio complementary cumulative probability density functions of present embodiment, Fig. 5
In give two suite lines, represent respectively compression because son be 0.5 and 0.8 when present embodiment ZT-DFT-s-SEFDM and
The complementary cumulative probability density function of DFT-SEFDM, SEFDM peak-to-average force ratio.In the case of compressibility factor identical, per in suite line
Three curve comparisons show ZT-DFT-s-SEFDM have less than SEFDM signal peak-to-average ratio, the peak based on DFT orthogonal transformations
Mean suppression method is relatively common and effective method, and ZT-DFT-s-SEFDM has the letter close to DFT-SEFDM
Number peak-to-average force ratio.Simulation parameter is set ibid.
Present embodiment expands efficient frequency division multiplexing Waveform generation method for zero new hangover DFT, and this method utilizes non-
Orthogonal sub-carriers distribute signal occupied bandwidth, in the case where character rate is given, compared to orthogonal multicarrier modulation scheme tool
There is higher spectrum efficiency.Meanwhile, the method that present embodiment is expanded in emitter using zero hangover DFT, this method can have
Effect suppresses the band external leakage of signal waveform, while ensure that signal is transmitted with relatively low peak-to-average force ratio, saves hardware amplifier and sets
Meter.
Although describing the present invention herein with reference to specific embodiment, it should be understood that, these realities
Apply the example that example is only principles and applications.It should therefore be understood that can be carried out to exemplary embodiment
Many modifications, and can be designed that other arrangements, the spirit of the invention limited without departing from appended claims
And scope.It should be understood that can be by way of different from described by original claim come with reference to different appurtenances
Profit is required and feature specifically described herein.It will also be appreciated that the feature with reference to described by separate embodiments can be used
In other described embodiments.
Claims (4)
1. a kind of efficient frequency division multiplexing Waveform generation method expanded based on zero hangover DFT, it is characterised in that including following step
Suddenly：
Step one：Carry out zero padding end to end to transmitting terminal modulation symbol, obtains time domain and sends symbol sebolic addressing, symbol is sent to time domain
The DFT that sequence carries out N points expands conversion, obtains frequency-region signal vector；
Step 2：(1- α) N/ α zero are filled at the end of obtained frequency-region signal vector, to the frequency-region signal vector after zero padding
Carry out subcarrier maps；
Step 3：Signal phasor after sub-carrier mapping carries out K points IFFT conversion, by the frequency-region signal vector obtained after conversion
Rear (1- α) N/ α data abandon, remaining N number of data be with zero hangover feature time domain send symbolic vector, its formed
Waveform be generation efficient frequency division multiplexing waveform；
Wherein, α represents the Spectrum compression factor, α=N/K.
2. a kind of efficient frequency division multiplexing Waveform generation method expanded based on zero hangover DFT according to claim 1, it is special
Levy and be, the time domain with zero hangover feature sends symbolic vector and is：
X=[x0,...,xn,...,xN-1]T；
Wherein, the time domain with zero hangover feature sends symbol sebolic addressingXkFor the frequency domain letter after zero padding
Data in number vector X.
3. a kind of efficient frequency division multiplexing Waveform generation method expanded based on zero hangover DFT according to claim 2, it is special
Levy and be, the peak-to-average force ratio that the time domain with zero hangover feature sends symbol sebolic addressing is：
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4. a kind of efficient frequency division multiplexing Waveform generation method expanded based on zero hangover DFT according to claim 2, it is special
Levy and be, the power spectral density that the time domain with zero hangover feature sends symbol sebolic addressing is：
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| CN108600127A (en) * | 2018-02-28 | 2018-09-28 | 北京邮电大学 | A kind of communication system and method for the super Nyquist overlapped based on pulse |
| CN108600127B (en) * | 2018-02-28 | 2021-03-09 | 北京邮电大学 | Pulse overlapping-based communication system and method for exceeding Nyquist |
| CN115001919A (en) * | 2022-04-13 | 2022-09-02 | 北京理工大学 | Timing synchronization construction method and system of SEFDM (subscriber identity distribution framework) system |
| CN115001919B (en) * | 2022-04-13 | 2023-12-05 | 北京理工大学 | Timing synchronization construction method and construction system of SEFDM system |
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