CN106375025B - A kind of digital communication method using nonopiate pulse - Google Patents
A kind of digital communication method using nonopiate pulse Download PDFInfo
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Abstract
The invention discloses a kind of digital communication methods using nonopiate pulse, the each communication symbol signal of this method is superimposed to obtain by the modulated nonopiate pulse temporal of multichannel amplitude, adjacent symbol signal is mutually non-overlapping in the time domain, the frequency spectrum of nonopiate pulse group in one symbol time is mutually overlapping, the parameter combination of nonopiate pulse group in its feasible zone, search for meet practical communication system band efficiency and certain bit error rate in the case of signal-to-noise ratio the two indexs the smallest parameter combination of pulse number by way of determine.This method has spectrum efficiency height, the advantage low with modulated signal peak-to-average power ratio applied widely.
Description
Technical field
The present invention relates to a kind of digital communication method more particularly to a kind of sides that digital communication is carried out using nonopiate pulse
Method.
Background technique
It analyzes from signal with from the perspective of expression, traditional view thinks that the orthogonality between transmitted waveform can disappear very well
Except intersymbol interference, the demodulated complex degree of receiving end is also reduced using orthogonal sine and cosine pulse transmission information.According to Nyquist standard
Then, when using orthogonal function transmission information, limit symbol transmission rate is Nyquist rate, and number to be transmitted
Word information may be derived from entire real number field.Currently, being representative with quadrature amplitude modulation (QAM) and orthogonal frequency division multiplexing (OFDM)
Efficient modulation method, the exactly Typical Representative of this way of thinking of theories.However, it is a stringent limit that orthogonality, which is for modulated signal,
Fixed condition, message transmitting procedure are stronger to the dependence of orthogonality, and requirement of the system to channel condition is then higher, and system performance is in reality
It is easier in the application of border to be destroyed.In addition, also limiting communication system bands utilization for the Orthonormality constraints of transmitted waveform
Rate further increases.In addition, sin cos functions are not most from signal from the point of view of time domain and the energy accumulating angle of frequency domain
Excellent signal form, small relative bandwidth characteristic limit the raising of system transfer rate.Relax the orthogonality to modulated signal
It limits, explores the nonopiate information transferring method based on non-sine pulse, be the research hotspot in current high-speed communication method field.
Currently, major progress has the following aspects carrying out digital communication method using nonopiate pulse.Mazo passes through
The mode for reducing adjacent function symbol interval keeps system symbol rate super in the case where not reducing signal minimum euclidean distance
Nyquist rate 25% is crossed, such method is otherwise known as super Nyquist Speed method (FTN) (Mazo J E, Landau H
J,“On the Minimum Distance Problem for Faster-Than-Nyquist Signaling,”IEEE
Trans.Inform.Theory,vol.34,1420-1427,Jun,1988).Kozek is to reduce the interchannel interference of receiving end
(Interchannel Interference, ICI) and intersymbol interference (Intersymbol Interference, ISI) are mesh
Mark, using Reisz basic function design non-sine pulse, effectively inhibit wireless fading channel influence (Werner Kozek,
Andreas F.Molisch.“Nonorthogonal Pulseshapes for Multicarrier Communications
in Doubly Dispersive Channels,”IEEE Journal on Selected Areas in
Communications,vol.16,no.8,1579-1589,1998).Cao Qisheng, beam moral group etc. propose a kind of based on Gauss
The non-orthogonal modulation method of function obtains spectrum efficiency more higher than conventional modulated method, and in xDSL line environment into
Verifying (Cao Qisheng, Liang Dequn. " Study on modulation techniques free of is gone
orthogonality restriction,”Science in China Series F:Information Sciences,
vol.50,no.6,889-896,Apr,2007).Alan turns to target with spectrum efficiency maximum, by symbol time domain interval T
It is optimized with two variables of frequency domain interval F, obtains a kind of time-frequency domain while overlapping non-orthogonal transmission scheme, frequency spectrum effect
Rate is substantially better than RRC-QPSK modulation (Alan Barbieri, Dario Fertonani, Guilio Colavolpe, " Time-
Frequency Packing for linear Modulations:Spectral Efficiency and Practical
Detection Schemes,"IEEE Trans.Commun.,vol.57,no.10,2951-2959,2009).Comprehensive analysis mesh
The present Research of preceding non orthogonal transmissions method as it can be seen that existing method does not optimize signal waveform used, thus
Improve the message transmission rate and spectrum efficiency of communication system.
For nonopiate communication means, modulating performance is largely determined by modulation waveform used.For into
One step improves the spectrum efficiency of non orthogonal transmissions method, and the present invention is wanted according to performance indicators such as the transmission rates of specific communication system
It asks and carrys out " reverse " design non orthogonal transmissions pulse, to realize the optimization design to nonopiate communication system performance.
Summary of the invention
The modulation waveform of digital communication system is to carry out tissue at regular intervals, and each time interval is one
Period, signal therebetween are known as symbol.In the present invention, a pulse period occupies a symbol, the letter of the adjacent symbol in front and back
It is number mutually non-overlapping in the time domain, and in a symbol time, signal passes through time domain by the non-orthogonal modulation pulse of multichannel
Superposition obtains, and carries out pulse amplitude modulation respectively to each pulse.The expression formula of non-orthogonal modulation signal of the invention is：
Wherein, NpFor pulse sum, ψiIt (t) is the nonopiate pulse in the i-th tunnel, diNumber is modulated for the amplitude of the nonopiate pulse in the i-th tunnel
According to.In a symbol time, modulation data vector is constituted to the amplitude modulation data of all nonopiate pulses
The vector can be regarded as NpTie up the point in modulation constellation.
This method data to be modulated become the road M signal by serioparallel exchange, respectively to corresponding nonopiate PSWF pulse into
The modulation of row pulse parameter.Finally, the modulated signal of each branch is merged into signal output all the way by time domain superposition.It is receiving
End, adjudicates to obtain modulation data by maximum likelihood.It, should when nonopiate pulse uses elliptically spherical function (PSWF) pulse
The functional block diagram of communication means is as shown in Figure 1.In figure, P1(t),P2(t),…,PMIt (t) is nonopiate pulse group, d1(t),d2
(t),…,dMIt (t) is the corresponding amplitude modulation data of each road pulse group of t moment, s (t) is by the superimposed modulation of time domain
Waveform.When using other non-sine function impulses transmission information, communication process is identical as the figure, and unique difference is to scheme
In PSWF pulse be changed to other pulses.
When transmitting information using nonopiate impulse waveform, receiving end carries out demodulation judgement using maximum likelihood method.Assuming that
Send constellation point di=[di1,di2,…,diN], corresponding transmission waveform is si(t), receiving signal at this time is r (t), receives letter
Number conditional probability density function be p (r (t)/si(t)).According to maximum likelihood criterion, make p (r (t)/si(t)) it maximizes, obtains
The demodulation constellation point d ' arrivediMeet：
Normalization minimum euclidean distance d between different modulating waveformminExpression formula be
Normalization minimum euclidean distance d between different modulating waveformminDirectly determine the bit error rate (BER) performance of system.dminCertainly
The lower limit of whole system BER is determined：
Available, the bit error rate p according to formula (3)sCorresponding signal-to-noise ratio is
For communication system, since its BER numerical value is smaller, think that system performance is more excellent, therefore BER lower limit is real
Border is the receptible maximum BER of system institute.To non-orthogonal modulation signal, when the modulation amplitude number of single pulse is k, the bit error rate
For psWhen, required bit signal-to-noise ratio Eb/N0For：
Wherein, α is the minimum euclidean distance factor,EpFor the energy of single nonopiate impulse waveform.α needs root
It is determined by calculation according to real pulse shape.
The frequency spectrum of each nonopiate pulse group used in the invention is mutually relatively folded, the bandwidth of each nonopiate pulse
It is identical, referred to herein as sub- bandwidth B0.It is λ (0≤λ≤1) when the frequency spectrum of nonopiate pulse group adjacent sub-bands overlaps degree, and divides
When for M (M is positive integer) a subband, total bandwidth B and sub- bandwidth B0Between meet B=[λ+(1- λ) M] B0.Frequency spectrum overlaps degree
It is as shown in Figure 2 that frequency range when 50% divides schematic diagram.It is T when the duration of pulse, burst length bandwidth product is c, every height
When taking N number of pulse in band, total symbol transmission rate R of systemS(number of symbols of transmission each second) is
RS=MN/T=MNB0/c (6)
For non-orthogonal modulation method, when the modulated amplitude degree of each pulse is k, band efficiency η (bit/s/
Hz it) is expressed as：
For the digital communication method using nonopiate pulse, system performance is mainly as the nonopiate arteries and veins used in it
It is fixed to burst, rather than orthogonal pulses waveform is then determined by pulse parameter.The present invention is according to communication system performance parameter and nonopiate arteries and veins
The quantitative formula for rushing parameter, using reverse thinking, the performance parameter according to required by communication system calculates pulse parameter,
It is final to determine nonopiate pulse used.
For the performance indicator of communication system, it is broadly divided into Validity Index and reliability index two major classes, validity refers to
Mark specifically refers to the message transmission rate R of systemb(unit bit/s) and band efficiency η (unit bit/s/Hz), reliability refer to
Mark refers in certain bit error rate psWhen required signal-to-noise ratio Eb/N0.For actual communication system, transmission bandwidth B is given
, the band efficiency in its Validity Index meets η=R at this timeb/B.In order to more fully characterize the validity of system, this
In select band efficiency η for Validity Index.
In the present invention, information is transmitted using nonopiate impulse waveform, in the modulation communicated in symbol time a letter
Number, that is, symbol signal is communicated, is superimposed to obtain by time domain by the modulated nonopiate pulse of amplitude by multichannel, adjacent symbol
Signal is mutually non-overlapping in the time domain；For the parameter combination of nonopiate pulse group, obtain meeting by search first practical logical
The parameter sets of signal-to-noise ratio the two indexs in the case of the given band efficiency of letter system and certain bit error rate, then at it
The smallest parameter combination of middle selection total number, the parameter combination as nonopiate pulse group used.In receiving end, pass through
Maximum likelihood method carries out demodulation judgement.
For nonopiate pulse group used, determine that the parameter of its impulse waveform includes sub-band number M, adjacent sub-bands
The overlapping degree λ of frequency spectrum, the time-bandwidth product c of pulse number N and pulse in single sub-band.Pulse group parameter and system frequency
Relationship with utilization rate is provided via formula (7).Normalizing when nonopiate pulse group determines, between different modulating symbol signal
Change minimum euclidean distance dminIt can also be calculated, it is available to the nonopiate pulse group of the group further according to formula (4) and formula (5)
In certain bit error rate psWhen required signal-to-noise ratio Eb/N0.In conclusion working as the sub-band number M of nonopiate pulse group, phase
The frequency spectrum of adjacent sub-band is overlapping to spend λ, and tetra- parameters of time-bandwidth product c of pulse number N and pulse in single sub-band are true
After fixed, bit error rate when band system band utilization rate when being used to transmitting digital information and certain signal-to-noise ratio can pass through calculating
It obtains.
For actual communication system, as required band efficiency η and certain bit error rate psWhen corresponding letter
It makes an uproar and compares Eb/N0To timing, used in nonopiate pulse group parameter, the frequency spectrum of including sub-band number M, adjacent sub-bands hands over
Folded to spend λ, the time-bandwidth product c of pulse number N and pulse in single sub-band are determined as follows：
Step 1：To four parameters of nonopiate pulse group：Sub-band number M, the overlapping degree λ of the frequency spectrum of adjacent sub-bands, list
Pulse number N in a sub-band and time-bandwidth product c of pulse, scans in its feasible zone, in feasible zone
Every set of pulses group parameter combination, according to band efficiency expression formulaIt determines and meets system
The lowest modulation amplitude number k for band efficiency demand of uniting；
Step 2：According to the pulse group parameter combination in step 1, its corresponding nonopiate impulse waveform is constructed, the group is calculated
The normalization minimum euclidean distance d of nonopiate pulse group modulated signalmin, by the bit error rate p that system is givensAnd previous step meter
The lowest modulation amplitude number k of calculation substitutes into expression formulaThis group of parameter is calculated in bit error rate psWhen it is corresponding
Signal-to-noise ratioIf it is less than bit error rate p required by systemsWhen corresponding signal-to-noise ratio numerical value Eb/N0, then it is assumed that group ginseng
Number is met the requirements, and records this group of parameter；Otherwise, it is unsatisfactory for requiring, continues searching next group of parameter, return to step 1；
Step 3：After parameter combinations all in the feasible zone of the parameter group of nonopiate pulse group search, selects and meet
The parameter combination of the least nonopiate pulse group of the total number of system requirements, the as nonopiate pulse for information transmission
Group parametric scheme.
The feasible zone of nonopiate four parameters of pulse group in step 1, according to the reasonable value of search complexity and each parameter
Range determines.The non-sine function impulse that can be used for communicating being currently known is suitable for this programme, such as Sinc function impulse,
Raised cosine (RSC) function impulse, root raised cosine (RRC) function impulse, Gauss (Gaussian) function impulse, Hermite are multinomial
Formula pulse and elliptically spherical function (PSWF) pulse etc..The parameter value of several common pulses is illustrated below.RSC
The expression formula of pulse and RRC pulse is respectively：
Wherein, α is rolloff-factor, and 0≤α≤1, T are pulse code-element period, that is, the duration of pulse.RSC arteries and veins
It rushes and the bandwidth of RRC pulse isTherefore the time-bandwidth product c of both pulses isWhen need using both
When pulse constructs corresponding band logical pulse, according to the centre frequency f that system is givenc, make both pulses multiplied by corresponding sine
Carrier wave, for example, the expression formula of band logical RSC pulse is：
Gaussian pulse expression formula is：
Wherein, α is controlling elements,BGFor three dB bandwidth, ApFor impulse amplitude.Hermite is polynomial fixed
Adopted formula is：
Wherein, n is the order of pulse.The general type of Hermite multinomial pulse is0 rank
The pulse of Hermite multinomial is then degenerated for Gaussian pulse.The Hermite pulse of same order is not mutually orthogonal.For
The pulse of Hermite multinomial and Gaussian pulse, it is same with RSC pulsion phase when needing to construct corresponding band logical pulse, as long as
According to the centre frequency that system gives, make pulse multiplied by corresponding sinusoidal carrier.
Elliptically spherical function (PSWF) is the solution of the Helmholz differential equation in prolate elliptical coordinate system.Helmholz
The differential equation is：
(1-t2)ψ″n(c,t)-2tψ′n(c,t)+(χn-c2t2)ψn(c, t)=0 (13)
Wherein, χnFor the characteristic value of the equation, n is the order of PSWF, time-bandwidth product c=Ω T, Ω ψnThe band of (c, t)
It is wide.Band limit elliptically spherical function ψnThe energy of (c, t) can be concentrated on farthest in given time section (- T/2, T/2).
Slepian discovery PSWF is the characteristic function of time-domain finite Fourier transformation, and gives the integral equation of base band PSWF accordingly
Definition：
In formula, 2c=Ω T.Band is limited to [fl,fh] the definition of PSWF be：
Wherein, λnIt (c) is the characteristic value of the equation, h (t) is passband [fl,fh] ideal bandpass filter time domain ring
It answers：
H (t)=2fh sinc(2fht)-2fl sinc(2flt) (16)
Band logical elliptically spherical function ψnThe parameter of (c, t) has time domain width T, upper limiting frequency fh, lower frequency limit flAnd rank
Number n, time-bandwidth product c=2 π (fh-fl)T.Band is limited to [fl,fh] elliptically spherical function time domain truncation form, constitute
One group of Complete Orthogonal base of the limited signal space of time-frequency.Within the scope of the time-bandwidth product of given c=WT (W is bandwidth,
T is time domain length), the orthogonal PSWF umber of pulse with high-energy aggregation is that (2c-2) is a.
As the parameter (total bandwidth [f of pulse group of PSWF pulse groupl,fh], wavelet road number M, the overlapping degree λ in wavelet road, often
After pulse number N, PSWF burst length bandwidth product c) in a sub-band is determined, in radio frequency channel [fl,fh] on construct nonopiate PSWF
The step of pulse group, is as follows：
Firstly, by radio frequency channel B=fh-flIt is divided into that M bandwidth be identical and the wavelet road of mutually overlapping λ；
Secondly, determining the duration T of PSWF pulse according to the time-bandwidth product c of radio frequency channel dividing condition and PSWF pulse
With the pulse number N in each wavelet road, wherein the pulse number N in each wavelet road meets c≤N≤2c-2；
Finally, according to the design parameter of each pulse, constructing the integral equation as shown in formula (15) in each radio frequency channel
Formula carries out discrete sampling to the integral equation within the period [- T/2, T/2] of PSWF pulse, obtains an eigenmatrix side
Journey, the discrete values solution of PSWF are the feature vector of the matrix.
In embodiment by taking PSWF function as an example, the building process of nonopiate PSWF pulse group is illustrated.
Compared with prior art, the present invention has the advantages that：
1. spectral efficient
Communication system mainly uses orthogonal signalling to transmit information at present, and Orthonormality constraints limit signal of communication selection and set
The flexibility of meter constrains further increasing for system spectral efficiency.The present invention transmits information using nonopiate pulse group, logical
Believe that signal behavior and design aspect have greater flexibility, therefore can further improve the spectrum efficiency of system.To this in Fig. 3
Modulation capability when invention is using nonopiate PSWF pulse group communication (PSWF-NMT-PSM) be widely used at present based on QAM
OFDM modulation (QAM-OFDM) signal comparison result.As seen from Figure 3, the start frequency band of nonopiate PSWF modulated signal utilizes
E corresponding to rate 2.6bit/s/Hzb/N0About 14dB, than the about 3dB of the OFDM high based on QAM of same frequency band utilization rate.It is non-just
The modulation capability of friendship scheme is with signal-to-noise ratio Eb/N0Raising rate be substantially higher in QAM-OFDM.Work as Eb/N0When >=20dB, adjust
Capacity processed starts to surmount QAM-OFDM.
2. applied widely
The present invention for non-sine class pulse, such as PSWF pulse, RSC pulse, RRC pulse and Gaussian function pulse etc.,
It is applicable in, corresponding pulse group building non orthogonal transmissions pulse can be selected according to the specific requirements of practical communication system.It is another
Aspect, the present invention do not specially require the transmission band of communication system, can according to actual needs, on given communications band
Nonopiate pulse group is constructed, there is the advantage having a wide range of application.
3. the peak-to-average power ratio (PAPR) of modulated signal is lower
As a kind of multiple transmission method, the present invention can realize the information of spectral efficient using less PSWF pulse
Transmission, therefore the PAPR of its modulated signal is lower, is conducive to save transmission power, inhibits the non-linear distortion for receiving signal.Fig. 5
With the measured result for the PAPR for giving the present invention and orthogonal demodulation signal in Fig. 6.By comparing as it can be seen that modulation of the invention is believed
Number have lower PAPR.
Detailed description of the invention
The functional block diagram of communication means Fig. 1 of the invention when being using nonopiate PSWF transmission information.
Fig. 2 is that radio frequency channel when adjacent wavelet road overlaps 50% divides schematic diagram.
Fig. 3 is nonopiate PSWF pulse group compared with the tone pitch capacity of the ofdm signal based on QAM.
Fig. 4 is simulated power spectrum (PSD) figure of nonopiate PSWF pulse group transmission plan modulated signal of the invention.
Fig. 5 is that the complementation of nonopiate PSWF pulse group transmission plan modulated signal peak-to-average power ratio (PAPR) of the invention is tired
Count the measured result of probability-distribution function (CCDF).
Fig. 6 is the measured result of the complementary accumulated probability density function of QAM-OFDM modulated signal peak-to-average power ratio.
Specific embodiment
It is specifically described below with reference to implementation process of the embodiment to the present invention program.
Embodiment one：The building of nonopiate PSWF pulse group
Design requirement：16 nonopiate elliptical shape ball surface waves (PSWF) are designed in frequency range 200kHz~200.18kHz
The parameter setting of pulse group, the pulse set is as shown in table 1.
1 PSWF pulse set parameter setting of table
Implement step：
1. by radio frequency channel B=180Hz be divided into 4 bandwidth it is identical and mutually overlapping 50% wavelet road, each wavelet road (son frequency
Section) identical bandwidth is 72Hz and interlaced 36Hz；
2. determining the duration T of PSWF pulse according to the time-bandwidth product c=4 π of radio frequency channel dividing condition and PSWF pulse
Pulse number N=4 in=c/2 π B=27.78ms and each wavelet road；
3. in each radio frequency channel, according to the spectral range [f of each pulsel,fh] and duration T, it constructs such as formula (15) institute
The integral equation shown, the discretization for carrying out N=256 point to the integral equation within the period [- T/2, T/2] of PSWF pulse are adopted
Sample, obtains an eigenmatrix equation, and each frequency sub-band takes 4 rank elliptical shape ball surface waves (PSWF) corresponding to preceding 4 maximum eigenvalue
Function.
Embodiment two：Suitable non orthogonal transmissions pulse is selected according to the reliability of a certain communication system and Validity Index
Design requirement：Transmission band is [50,60] MHz, and spectrum efficiency is greater than 7bit/s/Hz, in BER=10-5In the case of
Required Eb/N0≤ 20dB transmits information using nonopiate PSWF pulse group；
The specific implementation process is as follows：
1. four parameters of nonopiate PSWF pulse group are：Sub-band number M, the overlapping degree λ of the frequency spectrum of adjacent sub-bands, list
Pulse number N in a sub-band and time-bandwidth product c of pulse, the feasible zone of this four parameter combinations are 1≤M≤Mmax,
2≤c≤cmax,c≤N≤2c-2,λmin≤λ≤λmax, MN < NmaxWherein, M and N is positive integer, according to given singal reporting code
Design parameter determines M to reduce search complexitymax=10, cmax=8, the overlapping degree lower limit λ of frequency spectrummin=0.3, upper limit λmax=
0.95, total number upper limit Nmax=12；
2. determining meets band efficiency expression formula for every set of pulses group parameter combination in feasible zoneLowest modulation amplitude number k, for example, for pulse group parameter combination M
=2, c=4, N=6, λ=0.85 meet the lowest modulation amplitude number k=4 of band efficiency requirement；
3., according to the step in embodiment 1, constructing corresponding nonopiate PSWF pulse according to the group pulse group parameter combination
Group calculates the normalization minimum euclidean distance d of the nonopiate pulse group modulated signal of the groupmin=1.67, the error code that system is given
Rate ps=10-5And the minimum radius number k=4 that previous step calculates substitutes into expression formulaThe group is calculated
Parameter is in bit error rate ps=10-5When corresponding signal-to-noise ratioTherefore this group of parameter is met the requirements,
Record this group of parameter；Parameter is organized to Mr. Yu and is unsatisfactory for desired situation, then comes back to step 2., searches for next group of parameter；
4. after the parameter group of nonopiate pulse group in its feasible zone search for by all parameter combinations, parameter combination [M
=2, c=4, N=6, λ=0.85] corresponding to nonopiate PSWF pulse number be MN=12, be all meet in system requirements
Pulse number is least, therefore the group is selected to be combined into the nonopiate pulse group parametric scheme for information transmission, i.e., this is nonopiate
Meet given reliability and validity requirement when PSWF pulse group is transmitted for information.
Here to obtained nonopiate PSWF pulse group transmission plan and the currently used ofdm modulation signal based on QAM
Performance compare.
Fig. 3 is the comparison of the modulation capability of two kinds of modulated signals.PSWF-NMT-PSM represents of the invention nonopiate in figure
PSWF pulse group transmission plan, QAM-OFDM represent the ofdm modulation signal based on QAM.As seen from Figure 3, nonopiate PSWF pulse
E corresponding to the start frequency band utilization rate 2.6bit/s/Hz of group transmission planb/N0About 14dB, than same frequency band utilization rate
QAM-OFDM high about 3dB.The modulation capability of nonopiate PSWF pulse group transmission plan is with signal-to-noise ratio Eb/N0Raising rate it is obvious
It is higher than QAM-OFDM.Work as Eb/N0When >=20dB, modulation capability starts to surmount QAM-OFDM.Therefore, with orthogonal demodulation signal
It compares, non-orthogonal transmission scheme of the invention has higher modulation capability in high s/n ratio region.
Fig. 4 is the simulated power spectrum density (PSD) of the modulated signal of nonopiate PSWF pulse group transmission plan of the invention
Figure.By Fig. 4 as it can be seen that the main lobe energy of the nonopiate PSWF pulse group transmission plan modulated signal PSD based on PSWF more collects
In, the first side lobe attenuation is about 25dB, and side lobe attenuation is very fast.
Since nonopiate PSWF pulse group transmission plan and QAM-OFDM are multiplexing system, modulated signal
Peak-to-average power ratio (Peak-to-Average Ratio, PAPR) be also influence systematic entirety can an importance.This
In using signal analyzer to the complementary accumulated probability distribution function (Complementary of two kinds of modulated signal PAPR
Cumulative Distribution Function, CCDF) it is tested, it is as a result as shown in Figure 5 and Figure 6 respectively.Into
Before row test, normalized has been carried out to the mean power of two kinds of modulated signals.
In test result figure, the numerical value on the left side is the probability that a certain signal peak power occurs.The curve on the right is
The CCDF distribution curve of PAPR.In Fig. 5, one, left side curve is nonopiate PSWF pulse group transmission plan modulated signal PAPR's
Test result, one, the right curve are the test result of Gaussian noise.Two curves of this in Fig. 6 essentially coincide.Pass through comparison diagram 5
With Fig. 6 as can be seen that being 10 in peak amplitude probability-3When, the PAPR ratio of nonopiate PSWF pulse group transmission plan modulated signal
There are about the advantages of 1.2dB by QAM-OFDM.From the point of view of peak power, nonopiate PSWF pulse group transmission plan modulated signal ratio QAM-
The low about 3dB of OFDM.In general, the PAPR performance of nonopiate PSWF pulse group transmission plan is better than QAM-OFDM.
The foregoing is only a preferred embodiment of the present invention, but scope of protection of the present invention is not limited thereto.
It is any that information is transmitted using nonopiate pulse group, while its pulse group parameter meets practical communication by searching in its feasible zone
The smallest parameter combination scheme of the number of the requirement of band efficiency required by system and the signal-to-noise ratio under certain bit error rate
Mode determines, to realize the mentality of designing of the digital information transmission of spectral efficient, should belong to illustrated by the present invention
The protection scope of technical concept, anyone skilled in the art in the technical scope disclosed by the present invention, according to
Technical solution of the present invention and its inventive concept are subject to equivalent substitution or change, should all cover protection scope of the present invention it
It is interior.
Claims (4)
1. a kind of communication means using nonopiate impulse waveform transmission information, each communication symbol signal are modulated by multichannel amplitude
Nonopiate pulse temporal afterwards is superimposed to obtain, and adjacent symbol signal is mutually non-overlapping in the time domain；For nonopiate pulse group
Parameter combination, in the case of obtaining meeting the given band efficiency of practical communication system and certain bit error rate by search first
Signal-to-noise ratio the two indexs parameter sets, then the smallest parameter combination of total number is selected wherein, as used
The parameter combination of nonopiate pulse group；The nonopiate pulse group parameter combination refers to sub-band number M, adjacent sub-bands
Frequency spectrum is overlapping to spend λ, the time-bandwidth product c of pulse number N and pulse in single sub-band；The search process refers to,
It is scanned in the feasible zone of pulse group parameter combination, firstly, for every set of pulses group parameter combination in feasible zone, root
According to band efficiency expression formulaDetermine the most ditty for meeting band system band utilization rate demand
Amplitude number k processed；Secondly, constructing each corresponding nonopiate impulse waveform according to the group pulse group parameter combination, calculating the group
The normalization minimum euclidean distance d of nonopiate pulse group modulated signalmin, bit error rate ps and previous step meter that system is given
The minimum radius number k of calculation substitutes into expression formulaWherein, α is the minimum euclidean distance factor,Ep
For the energy of single nonopiate impulse waveform,This group of parameter is calculated in bit error rate psWhen corresponding signal-to-noise ratioIf it is less than bit error rate p required by systemsWhen corresponding signal-to-noise ratio numerical value Eb/N0, then it is assumed that this group of parameter meets
It is required that recording this group of parameter, next group of parameter is otherwise continued searching；When institute in the feasible zone of the parameter combination of nonopiate pulse group
After having parameter combination search, the parameter group for meeting the least nonopiate pulse group of total number MN of system requirements is selected
It closes, as the nonopiate pulse group parametric scheme for information transmission.
2. communication means as described in claim 1, characterized in that PSWF pulse, pulse are selected in the nonopiate pulse
Group parameter is M=2, c=4, N=6, λ=0.85.
3. communication means according to claim 1, characterized in that impulse waveform used is Sinc function impulse, more than liter
String function impulse, root raised cosine function impulse, Gaussian function pulse, the pulse of Hermite multinomial and elliptically spherical function
One of pulse.
4. communication means according to claim 1, characterized in that for the road N transmission pulse, the amplitude of the road N pulse is modulated
Data are di=[di1 di2 … diN], corresponding transmission waveform is si(t), receiving signal at this time is r (t), receives signal
Conditional probability density function is p (r (t)/si(t)) it, is demodulated according to maximum likelihood criterion, makes p (r (t)/si(t)) maximum
Change, obtained demodulation constellation point d 'iMeet
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