CN106911617A - One kind overlaps frequency-division complex modulation method, apparatus and system - Google Patents
One kind overlaps frequency-division complex modulation method, apparatus and system Download PDFInfo
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Abstract
The application proposes a kind of overlap frequency-division complex modulation method, device and system, and methods described includes：The smooth initial envelope waveform of waveform in one frequency domain is generated according to design parameter；The initial envelope waveform is shifted on frequency domain by predetermined spectrum intervals according to overlapping multiplexing number of times, is obtained each subcarrier envelope waveform；The digital signal sequences of input are converted into sign symbol sequence；Symbol in the sign symbol sequence is multiplied with each self-corresponding subcarrier envelope waveform, the modulation envelope waveform of each subcarrier is obtained；The modulation envelope waveform of each subcarrier is overlapped on frequency domain, the multiple modulation envelope waveform on frequency domain is obtained；Multiple modulation envelope waveform on the frequency domain is entered into line translation, the multiple modulation envelope waveform in time domain is obtained.Resulting multiple modulation envelope waveform, waveform is smoothed on frequency domain, and energy is concentrated and the duration is short in time domain, therefore spectrum utilization and signal transmission rate are high, and transimission power and the bit error rate are low.
Description
Technical field
The present invention relates to the communications field, and in particular to one kind overlaps frequency-division complex modulation method, device and overlap
Frequency Division Multiplexing system.
Background technology
Frequency division multiplexing FDM (Frequency Division Multiplexing) is that one kind allows multiple to occupy compared with arrowband
Signal wide shares a technology for wider bandwidth.As shown in figure 1, the signal bandwidth being respectively utilized is respectively
B1, B2, B3, B4 ..., certainly they can also occupy same band, △ B are Minimal Protective bandwidth,
Real protection bandwidth can be with well-to-do.The transition band width that △ B should be greater than used demultiplexer filter is added
The peak frequency drift of system and the peak frequency diffusing capacity of channel.This is most common frequency multiplexing technique,
Existing most of broadcast system, communication system and radar system etc. all use this technology.This
The maximum feature of kind of technology is mutually isolated between the signal spectrum being utilized, and is not in interfere.
Therefore, traditional viewpoint is not overlapped in frequency domain between adjacent channel, with avoid adjacent channel it
Between produce interference, but the raising of spectrum efficiency of this limitation of the technology.The frequency multiplexing technique of prior art
Viewpoint is not only need not be mutually isolated between each channel, and can have very strong overlapped, such as Fig. 2
Shown, the overlap between channel is considered as a kind of new coding bound relation by prior art, and according to the constraint
Relation proposes corresponding modulation and demodulation technology, therefore is referred to as to overlap frequency division multiplexing, and this technology is caused
Spectrum efficiency, with number of times K proportional increases are overlapped, is the situation of K=3 in wherein Fig. 2.
In theory, when being carried out data transmission using overlap frequency multiplexing technique, overlapping number of times K can be ad infinitum
Increase, therefore spectrum efficiency also can ad infinitum increase, but had been found that in the laboratory research stage secondary with overlapping
The increase of number K, although spectrum efficiency is increased, but transimission power consequently also increases, and transimission power
Increase the increase that also limit to a certain extent overlap number of times K in turn, so as to also limit frequency spectrum effect
The increase of rate.
The content of the invention
The application provides a kind of overlap frequency-division complex modulation method, apparatus and system.
According in a first aspect, provided in a kind of embodiment it is a kind of overlap frequency-division complex modulation method, it is including following
Step：
The smooth initial envelope waveform of waveform in one frequency domain is generated according to design parameter；
The initial envelope waveform is moved on frequency domain by predetermined spectrum intervals according to overlapping multiplexing number of times
Position, obtains each subcarrier envelope waveform；
The digital signal sequences of input are converted into sign symbol sequence；
Symbol in the sign symbol sequence is multiplied with each self-corresponding subcarrier envelope waveform, obtains each
The modulation envelope waveform of subcarrier；
The modulation envelope waveform of each subcarrier is overlapped on frequency domain, the multiple modulation on frequency domain is obtained
Envelope waveform；
Multiple modulation envelope waveform on the frequency domain is entered into line translation, the multiple modulation envelope waveform in time domain is obtained.
A kind of overlap frequency division multiplexing modulating device is provided according to second aspect, in a kind of embodiment, including：
Waveform generating module, for generating the smooth initial envelope waveform of waveform in a frequency domain；
Shift module, for the initial envelope waveform to be pressed into predetermined on frequency domain according to overlapping multiplexing number of times
Spectrum intervals is shifted, and obtains each subcarrier envelope waveform；
Modular converter, for the digital signal sequences of input to be converted into sign symbol sequence；
Multiplier module, for by the symbol in the sign symbol sequence and each self-corresponding subcarrier Envelop waves
Shape is multiplied, and obtains the modulation envelope waveform of each subcarrier；
Laminating module, for the modulation envelope waveform of each subcarrier to be overlapped on frequency domain, obtains
Multiple modulation envelope waveform on frequency domain；
Conversion module, for the multiple modulation envelope waveform on the frequency domain to be entered into line translation, obtains in time domain
Multiple modulation envelope waveform.
There is provided according to the third aspect, in a kind of embodiment it is a kind of overlap Frequency Division Multiplexing system, including emitter and
Receiver；
The emitter includes：
Above-mentioned overlap frequency division multiplexing modulating device, the multiple modulation of output signal sequence is carried for modulating generation
Envelope waveform；
Emitter, for the multiple modulation envelope waveform to be transmitted into receiver；
The receiver includes：
Reception device, for receiving the multiple modulation envelope waveform；
Frequency division multiplexing demodulating equipment is overlapped, for being demodulated to the multiple modulation envelope waveform for receiving, final warp
Cross decoding and obtain final input bit sequence.
It is initial due to what is generated according to the overlap frequency-division complex modulation method, apparatus and system of above-described embodiment
Envelope waveform waveform in frequency domain is smoothed, and correspondingly, it is concentrated in time domain self-energy and the duration is shorter,
Therefore the polyphony tune envelope waveform for being formed by its modulation is concentrated in time domain energy and the duration is shorter, therefore
Its availability of frequency spectrum is high, and signal transmission rate is also high, and only needs to relatively low transimission power, when being demodulated
With the relatively low bit error rate.
Brief description of the drawings
Fig. 1 is the shared waveform diagram for wider bandwidth of each signal in conventional frequency division multiplexing technology；
Fig. 2 is the coding bound relation schematic diagram formed after overlapping between each channel in existing overlap frequency division technique；
Fig. 3 is the structural representation of overlap Frequency Division Multiplexing system in a kind of embodiment of the application；
Fig. 4 is the structural representation of overlap frequency division multiplexing modulating device in a kind of embodiment of the application；
Fig. 5 is the structural representation of reception device in a kind of embodiment of the application；
Fig. 6 is the structural representation of overlap frequency division multiplexing demodulating equipment in a kind of embodiment of the application；
Fig. 7 is the schematic flow sheet of overlap frequency-division complex modulation method in a kind of embodiment of the application；
Fig. 8 is that output signal sequence determines the schematic flow sheet of method in a kind of embodiment of the application；
Fig. 9 is the principle of stacking schematic diagram of K roads waveform multiplexing in a kind of embodiment of the application；
Figure 10 is the frequency domain figure of Chebyshev's envelope waveform in a kind of embodiment of the application；
Figure 11 be a kind of embodiment of the application in modulated as initial envelope waveform using Chebyshev's envelope waveform
Each subcarrier envelope waveform and the frequency domain figure of multiple modulation envelope waveform for arriving；
Figure 12 be a kind of embodiment of the application in modulated as initial envelope waveform using Chebyshev's envelope waveform
The time-domain diagram of the multiple modulation envelope waveform for arriving；
Figure 13 is the principle of stacking schematic diagram of 3 road waveform multiplexings in a kind of embodiment of the application；
Figure 14 is the frequency domain figure of rectangular window envelope waveform in a kind of embodiment of the application；
Figure 15 is obtained to be modulated as initial envelope waveform using rectangular window envelope waveform in a kind of embodiment of the application
Multiple modulation envelope waveform time-domain diagram；
Figure 16 is obtained to be modulated as initial envelope waveform using rectangular window envelope waveform in a kind of embodiment of the application
Multiple modulation envelope waveform time-domain diagram；
Figure 17 is Input output Relationship figure in a kind of embodiment of the application；
Figure 18 is a kind of embodiment interior joint state transition diagram of the application；
Figure 19 be a kind of embodiment of the application in envelope waveform as initial envelope waveform is led using Chebyshev's single order
The frequency domain figure of the multiple modulation envelope waveform that modulation is obtained；
Figure 20 be a kind of embodiment of the application in envelope waveform as initial envelope waveform is led using Chebyshev's single order
Each subcarrier envelope waveform and the frequency domain figure of multiple modulation envelope waveform that modulation is obtained
Figure 21 be a kind of embodiment of the application in envelope waveform as initial envelope waveform is led using Chebyshev's single order
The time-domain diagram of the multiple modulation envelope waveform that modulation is obtained；
Figure 22 is obtained to be modulated as initial envelope waveform using Hamming window envelope waveform in a kind of embodiment of the application
Multiple modulation envelope waveform time-domain diagram；
Figure 23 is obtained to be modulated as initial envelope waveform using Hamming window envelope waveform in a kind of embodiment of the application
Each subcarrier envelope waveform and multiple modulation envelope waveform frequency domain figure
Figure 24 is obtained to be modulated as initial envelope waveform using Hamming window envelope waveform in a kind of embodiment of the application
Multiple modulation envelope waveform time-domain diagram.
Specific embodiment
The present invention is described in further detail below by specific embodiment combination accompanying drawing.
In to overlapping frequency multiplexing technique research, inventor has found that the growth of transimission power is main with being re-used
The frequency spectrum of signal (modulating window function) is relevant, not as contemplated by theory to multiplexed signals frequency spectrum
Shape, bandwidth have no requirement.Although there are many window functions in the prior art, can freely adopt in theory
The sign symbol sequence transmitted is modulated with various window functions, but because rectangular window is compared to other window letters
Number produce, design and application it is upper be easier, cost it is lower, therefore at present it is preferential when signal modulation is carried out
Rectangular window is used, and the spectrum waveform of square wave is more precipitous in both sides, so that its energy in time-domain does not collect
In, the duration is long, therefore multiplexing waveform systematic function is very poor, transimission power and error code needed for causing
Rate is all very high.
Based on above-mentioned discovery, in embodiments of the present invention, when application overlaps frequency multiplexing technique using one kind
Window function better than square wave is modulated to the sign symbol sequence transmitted.
Fig. 3 is refer to, overlapping Frequency Division Multiplexing system includes emitter 1 and receiver 2.
Emitter 1 includes overlapping frequency division multiplexing modulating device 10 and emitter 20, wherein, overlap frequency division and answer
It is used to modulate the multiple modulation envelope waveform that generation carries output signal sequence, emitter 20 with modulating device 10
For above-mentioned multiple modulation envelope waveform to be transmitted into receiver 2.
Refer to Fig. 4, overlap frequency division multiplexing modulating device 10 include waveform generating module 11, shift module 12,
Modular converter 13, multiplier module 14, laminating module 15 and conversion module 16.
Waveform generating module 11 is used to generate the smooth initial Envelop waves of waveform in a frequency domain according to design parameter
Shape.In one embodiment, the design parameter at least bandwidth width including initial envelope waveform.
Shift module 12 is used to that initial envelope waveform to be pressed into predetermined frequency spectrum on frequency domain according to overlapping multiplexing number of times
Interval is shifted, and obtains each subcarrier envelope waveform.In one embodiment, spectrum intervals be subcarrier frequently
Spectrum interval △ B, wherein subcarrier spectrum interval △ B=B/K, B are the bandwidth of initial envelope waveform, and K attaches most importance to
Folded multiplexing number.
Modular converter 13 is used to for the digital signal sequences of input to be converted into sign symbol sequence.In an embodiment
In, the digital signal sequences of input are converted into sign symbol sequence and are specially by modular converter 13：By what is be input into
In digital signal sequences 0 is converted to+A, and 1 in digital signal sequences is converted to-A, to form positive and negative symbol
Number sequence is simultaneously exported.For example, taking A=1, in one embodiment, modular converter 13 is adjusted using BPSK
Mode processed, will be input into { 0,1 } bit sequence by modulation conversion into {+1, -1 } symbol sebolic addressing.
Multiplier module 14 is used for the symbol in above-mentioned sign symbol sequence and each self-corresponding subcarrier Envelop waves
Shape is multiplied, and obtains the modulation envelope waveform of each subcarrier.
Laminating module 15 is used to be overlapped the modulation envelope waveform of above-mentioned each subcarrier on frequency domain, obtains
Multiple modulation envelope waveform on frequency domain.
Conversion module 16 is used to that the multiple modulation envelope waveform on above-mentioned frequency domain to be transformed to the multiple modulation in time domain
Envelope waveform.In one embodiment, conversion module 16 can use fourier inverse transformation, by above-mentioned frequency domain
On multiple modulation envelope waveform be transformed into multiple modulation envelope waveform in time domain.
The multiple modulation envelope waveform of above-mentioned modulation generation carries corresponding with the sign symbol sequence being converted to
Output signal sequence, this output signal sequence is made up of the output signal of each spectrum intervals, each spectrum intervals
Output signal is the result after the operation values superposition of the modulation envelope waveform in each spectrum intervals, works as modulation envelope
Waveform is multiplied when obtaining by plus sign with subcarrier envelope waveform, and its operation values is+1, is carried with son by minus symbol
Wave envelope waveform is multiplied when obtaining, and its operation values is -1.
Referring back to Fig. 3, receiver 2 includes reception device 30 and overlaps frequency division multiplexing demodulating equipment 40, its
In, reception device 30 is used for the above-mentioned multiple modulation envelope waveform that receiving and transmitting unit 20 sends, and overlaps frequency division
Multiplexing demodulation device 40 is used to be demodulated decoding to the multiple modulation envelope waveform for receiving.
Fig. 5 is refer to, reception device 30 includes sign synchronization module 31 and digital signal processing module 32.
Sign synchronization module 31 is used to form sign synchronization in time-domain to the multiple modulation envelope waveform for receiving.
Digital signal processing module 32 is used to be sampled the interval reception signal of each symbol time, quantifies,
It is allowed to be changed into receiving symbol sebolic addressing.
Refer to Fig. 6, overlap frequency division multiplexing demodulating equipment 40 include spectrum block 41, frequency segmentation module 42,
Convolutional encoder module 43 and data detection module 44.
Spectrum block 41 is used to enter line translation to form reception signal by the reception symbol sebolic addressing in above-mentioned time-domain
Frequency spectrum.In one embodiment, spectrum block 41 uses Fourier transform, by the reception in above-mentioned time-domain
Symbol sebolic addressing is transformed into receipt signal frequency spectrum.
Frequency segmentation module 42 is used in frequency domain be divided receipt signal frequency spectrum with subcarrier spectrum interval △ B
Section obtains receiving signal subsection frequency spectrum.
Convolutional encoder module 43 is used to carry out the reception signal subsection frequency spectrum that each subcarrier spectrum is spaced in △ B
Convolutional encoding, obtains being converted into just through the digital signal sequences of input in receipt signal frequency spectrum and emitter 1
One-to-one relationship between minus symbol sequence.
Data detection module 44 is used for according to above-mentioned one-to-one relationship, detects above-mentioned sign symbol sequence.
Fig. 7 is refer to, frequency-division complex modulation method is overlapped disclosed herein as well is one kind, it is comprised the following steps：
Step S11, the initial envelope waveform smoothed according to waveform in design parameter one frequency domain of generation.It is real one
Apply in example, design parameter at least includes the bandwidth width of initial envelope waveform.
Step S12, according to overlapping multiplexing number of times by the initial envelope waveform on the frequency domain by between predetermined frequency spectrum
Every being shifted, each subcarrier envelope waveform is obtained.In one embodiment, spectrum intervals is subcarrier spectrum
Interval △ B, wherein subcarrier spectrum interval △ B=B/K, B are the bandwidth of initial envelope waveform, and K is overlap
Multiplexing number.
Step S13, the digital signal sequences of input are converted into sign symbol sequence.In one embodiment, walk
The digital signal sequences of input are converted into sign symbol sequence and are specially by rapid S13：The data signal that will be input into
In sequence 0,1 is converted to ± A, and A values are non-zero Arbitrary Digit, to form sign symbol sequence.For example, A
Value be 1 when, in one embodiment, step S13 use BPSK modulation systems, by be input into 0,
1 } bit sequence by modulation conversion into {+1, -1 } symbol sebolic addressing.
Step S14, by the symbol in above-mentioned sign symbol sequence and each self-corresponding subcarrier envelope waveform phase
Multiply, obtain the modulation envelope waveform of each subcarrier.
Step S15, the modulation envelope waveform of above-mentioned each subcarrier is overlapped on frequency domain, obtained on frequency domain
Multiple modulation envelope waveform.
Step S16, the multiple modulation Envelop waves transformed to the multiple modulation envelope waveform on above-mentioned frequency domain in time domain
Shape.In one embodiment, step S16 can use fourier inverse transformation, by the polyphony on above-mentioned frequency domain
Envelope waveform processed is transformed into the multiple modulation envelope waveform in time domain.
The multiple modulation envelope waveform of above-mentioned modulation generation carries corresponding with the sign symbol sequence being converted to
Output signal sequence, as shown in figure 8, this output signal sequence can be determined by following steps：
Step S17, when modulation envelope waveform be multiplied with subcarrier envelope waveform by plus sign obtain when, make the tune
The operation values of envelope waveform processed are+1, when modulation envelope waveform is mutually multiplied with subcarrier envelope waveform by minus symbol
Then, the operation values for making the modulation envelope waveform are -1；
Step S18, for each spectrum intervals, the computing of the modulation envelope waveform that will be located in the spectrum intervals
Value superposition, draws the output signal of the spectrum intervals, so as to form output signal sequence.
The above is illustrated with the example of a reality again below.
The sign symbol sequence that the digital signal sequences of input might as well be made to be converted into is X={ X0, X1..., XN-1,
It can be seen that, the length of sign symbol sequence is N, and N is positive integer.
To the sign symbol sequence X={ X0, X1..., XN-1Overlap frequency division multiplexing modulated process it is as follows：
Smooth initial envelope waveform H (f) of waveform in a frequency domain is generated according to design parameter in step s 11.
The initial envelope waveform is pressed by predetermined frequency on frequency domain according to overlapping multiplexing number of times in step s 12
Spectrum interval is shifted, and obtains each subcarrier envelope waveform.In one embodiment, specifically, will initially wrap
Frequency displacement 0, to N-1 subcarrier spectrum interval △ B, obtains N number of subcarrier envelope waveform to network waveform H (f) respectively,
Wherein i-th subcarrier envelope waveform is H (f-i* Δ B), 0≤i≤N-1；Subcarrier spectrum is spaced △ B=B/K,
B is the bandwidth of initial envelope waveform H (f), and K is overlap multiplexing number.
By the symbol in above-mentioned sign symbol sequence and each self-corresponding subcarrier envelope waveform in step S14
It is multiplied, obtains the modulation envelope waveform of each subcarrier.In one embodiment, specifically, by above-mentioned positive and negative symbol
N number of symbol subcarrier envelope waveform corresponding with each symbol of number sequence is multiplied, and obtains N number of by subcarrier
The modulation envelope waveform of modulation, wherein i-th modulation envelope waveform is Xi* H (f-i* Δ B), 0≤i≤N-1.
The modulation envelope waveform of above-mentioned each subcarrier is overlapped on frequency domain in step S15, obtains frequency
Multiple modulation envelope waveform on domain
Multiple modulation envelope waveform S (f) on above-mentioned frequency domain is entered into line translation in step s 16, is obtained in time domain
Multiple modulation envelope waveform S (t).
Multiple modulation envelope waveform S (f) and S (t) of above-mentioned modulation generation are carried and sign symbol sequence
X={ X0, X1..., XN-1Corresponding output signal sequence S={ S0, S1..., SN-1}.Output signal sequence
S={ S0, S1..., SN-1Can be determined by the step S17 in Fig. 8 and step S18.In one embodiment,
Specifically, Fig. 9 is refer to, is the principle of stacking schematic diagram of K roads waveform multiplexing, it is in quadrangle form.Its
In represent a symbol X to be sent per the item of a lineiWith corresponding subcarrier envelope waveform H (f-i* Δ B)
The modulation envelope waveform X formed after multiplicationi* the K sampled point of H (f-i* Δ B), this is represented in the item of same row
A little samples can be overlapped in same spectrum intervals, draw the output signal of the spectrum intervals,
So as to form output signal sequence.In the present embodiment, coefficient A0To AK-1It is 1 all to make it.
Embodiment one
In the present embodiment, initial envelope waveform is Chebyshev (Chebyshev) envelope waveform, Chebyshev
(Chebyshev) envelope waveform waveform in frequency domain is smoothed.
It is illustrated with a specific example below.
Might as well with overlapping multiplexing number of times K=3, the sign symbol sequence X that the digital signal sequences of input are converted into=
As a example by { -1 ,+1 ,+1, -1 ,+1 ,+1 ,+1, -1 }, wherein X1=-1, X2=+1, X3=+1, X4=-1,
X5=+1, X6=+1, X7=+1, X8=+1, it can be seen that the length N=8 of sign symbol sequence X.
In step s 11, Chebyshev (Chebyshev) envelope waveform H (f) is generated according to design parameter,
In one embodiment, bandwidth B=63 of Chebyshev (Chebyshev) envelope waveform H (f), side lobe attenuation r
It is 100dB, is the frequency domain figure of Chebyshev (Chebyshev) envelope waveform H (f) as shown in Figure 10.
In step s 12, according to overlapping multiplexing number of times K by Chebyshev (Chebyshev) envelope waveform H (f)
Shifted by predetermined spectrum intervals on frequency domain, obtained each subcarrier envelope waveform.Specifically, will cut
Than snow husband (Chebyshev) envelope waveform H (f), 0 to 7 subcarrier spectrums of frequency displacement are spaced △ B respectively, obtain
To 8 sub- carrier envelope waveforms, wherein i-th subcarrier envelope waveform is H (f-i* Δ B), 0≤i≤7；
Subcarrier spectrum is spaced △ B=B/K=63/3=21.
In step S14, by 8 symbols in sign symbol sequence X and each self-corresponding subcarrier envelope
Waveform is multiplied, and the modulation envelope waveform of each subcarrier is obtained, wherein i-th subcarrier envelope waveform is
Xi* H (f-i* Δ B), 0≤i≤7, the frequency domain figure of each subcarrier envelope waveform as shown in figure 11, wherein waveform
1st, 2 the frequency domain figure of each subcarrier envelope waveform after being multiplied is represented with 3.
In step S15, the modulation envelope waveform of above-mentioned each subcarrier is overlapped on frequency domain, obtained
Multiple modulation envelope waveform on frequency domainAs shown in figure 11, wherein waveform 4 is
The frequency domain figure of multiple modulation envelope waveform S (f).
In step s 16, multiple modulation envelope waveform S (f) on above-mentioned frequency domain is entered into line translation, obtains time domain
On multiple modulation envelope waveform S (t), S (t)=ifft (S (f)), ifft be Fourier inversion function.In time domain
Multiple modulation envelope waveform S (t) as shown in figure 12, it can be seen that its in time-domain energy concentrate and continue
Time is short, and wherein the abscissa of Figure 12 represents sampled point, and ordinate represents power, and unit is dB.Finally will
Multiple modulation envelope waveform S (t) in this time domain sends.
This multiple modulation spectrum signal S (f) and S (t) carry with sign symbol sequence X=- 1 ,+1 ,+1,
- 1 ,+1 ,+1 ,+1, -1 } corresponding output signal sequence S={ S0, S1..., S7}.Output signal sequence
Be by step S17 and step S18 calculated come.In one embodiment, K roads in reference picture 9
The principle of stacking schematic diagram of waveform multiplexing, by multiplexing number K, coefficient A0To A2And symbol X1To X7Value
All substitute into wherein, the 3 multiplex superposed figures of road waveform of Figure 13 are can obtain, so as to calculate and sign symbol sequence
The corresponding output signal sequence S=of X={ -1 ,+1 ,+1, -1 ,+1 ,+1 ,+1, -1 } -1,0 ,+1,
+ 1 ,+1 ,+1 ,+3 ,+1 }.
As can see from Figure 10, Chebyshev's (Chebyshev) envelope waveform H (f) is (real by 0 in frequency domain
It is 0.0028 on border, close at 0) start, the waveform of frequency domain is smoothed, and this causes to be superimposed by its frequency-domain linear
Waveform of multiple modulation envelope waveform S (f) for being formed afterwards on frequency domain is also very smooth, can be clearly from Figure 11
See this point, smooth multiple modulation envelope waveform S (f) of waveform is converted into the multiple modulation bag in time domain on frequency domain
Network waveform S (t), multiple modulation envelope waveform S (t) in time domain concentrate and the duration is short by energy, from Figure 12
In it will be clear that this point.Therefore, the multiple modulation envelope waveform being transmitted after being modulated, its
Waveform is smoothed on frequency domain, and energy is concentrated and the duration is short in time domain so that the overlap frequency division of the application is answered
There is excellent good performance with modulator approach, apparatus and system, be specifically described below.
As Figure 14 for rectangular window envelope waveform frequency domain figure, it can be seen that its broader bandwidth, on frequency domain by
1 beginning, frequency spectrum is unsmooth, very precipitous, and this causes to be modulated as initial envelope waveform and formed by it
Multiple modulation envelope waveform it is also unsmooth on frequency domain, it will be clear that this point from Figure 15 so that
So that the multiple modulation envelope waveform power dissipation and duration is more long in time domain, can understand from Figure 16
See this point in ground.
Therefore, it can be seen that compare by rectangular window envelope waveform modulate as initial envelope waveform and
The multiple modulation envelope waveform for obtaining, by Chebyshev's (Chebyshev) envelope waveform as initial envelope waveform
Multiple modulation envelope waveform obtained from modulation, its frequency domain occupied bandwidth is the same, but energy concentrates lasting in time domain
Time is short, so that the availability of frequency spectrum of the application is improved, meanwhile, energy is concentrated and held in time domain
The continuous time is short, causes that the transmission rate of the application is improved again, in addition, by Chebyshev (Chebyshev)
Multiple modulation envelope waveform obtained from envelope waveform is modulated as initial envelope waveform is very smooth in frequency domain so that
Waveform of the application on to frequency domain carries out the high precision of waveform cutting, reduces the bit error rate.
By emitter 1 send it is above-mentioned by Chebyshev's (Chebyshev) envelope waveform as initial Envelop waves
Shape is modulated and obtains multiple modulation envelope waveform S (t) in time domain, can be received and be demodulated by receiver 2.
Specifically, sign synchronization first is formed in time-domain to the multiple modulation envelope waveform for receiving；Then, to each
The interval reception signal of symbol time is sampled, quantifies, and is allowed to be changed into receiving symbol sebolic addressing；Then, will
Reception symbol sebolic addressing in above-mentioned time-domain enters line translation to form receipt signal frequency spectrum；Then, will receive and believe
Number frequency spectrum with subcarrier spectrum interval △ B be segmented and obtains receiving signal subsection frequency spectrum in frequency domain.By above-mentioned
After treatment, the spectrum waveform reception symbol sebolic addressing that obtains of cutting for S=-1,0 ,+1 ,+1 ,+1 ,+1 ,+3,
+ 1 }, be multiple modulation spectrum signal S (f) and S (t) carry with sign symbol sequence X=- 1 ,+1 ,+1,
- 1 ,+1 ,+1 ,+1, -1 } corresponding output signal sequence S=-1,0 ,+1 ,+1 ,+1 ,+1 ,+3,
+1}.It is exactly finally that row decoding is entered to the spectrum waveform after cutting according to certain decoding algorithm.In an embodiment
In, specifically the node state transfer figure in Input output Relationship figure and Figure 18 in Figure 17,
Carry out between symbol before and after compare, node transfer path is obtained, so as to enter row decoding.Specifically, please return
Reference picture 17 is returned, to represent input+1, downward branch represents input -1 to upward branch (path), young
Thin observation can find that the tree graph reforms into repetition after the 3rd, because every from labeled as a's
The branch that node gives off has same output, and the conclusion is equally applicable to node b, c, d.They
Nothing more than being following several possibility, as shown in figure 18, (warp as can be seen from the figure can only be transferred to from node a
Input+1) node a and (through input -1) node b, while b can only arrive (input+1) c and (input -1) d,
C can only arrive (input+1) a and (input -1) b, d and can only arrive (input+1) c and (input -1) d.Produce this
The reason for phenomenon, is very simple, because only that adjacent K symbol can just be formed mutual " interference ".So working as frequency
When K, domain data are input to channel, the 1st data come earliest have moved out a frequency of rightmost
It is spaced.Therefore the output of channel further depends on preceding K-1 frequency except the input depending on existing frequency data
The input of rate data.In the present embodiment, node state transfer path be Figure 17 in blacken thick line,
Node transfer path is -1 (receiving symbol sebolic addressing for first symbol of S is -1)
->b->c->a->b->c->a->a->B, according to this transfer relationship be obtain the symbol sebolic addressing of input for -1 ,+1,
+ 1, -1 ,+1 ,+1 ,+1, -1 }, it can be seen that the symbol sebolic addressing drawn after decoding as sign symbol sequence
Row X.
Embodiment two
Compared to embodiment one, in the present embodiment, initial envelope waveform is the smooth Chebyshev of waveform in frequency domain
(Chebyshev) envelope waveform of window function, such as Chebyshev (Chebyshev) pulse-shaping are developed
Consecutive mutiply function, all-order derivative, all-order derivative sum etc. are a series of on Chebyshev (Chebyshev) pulse
The envelope waveform of the functional form of shaping.
As a example by with initial envelope waveform, as Chebyshev, (Chebyshev) single order leads envelope waveform below, enter
Row is described in detail.
Still with overlapping multiplexing number of times K=3 in embodiment one, sign symbol sequence X=- 1 ,+1 ,+1, -1,
+ 1 ,+1 ,+1, -1 } as a example by.
In step s 11, Chebyshev (Chebyshev) single order is generated according to design parameter and leads envelope
Waveform H (f), in one embodiment, Chebyshev (Chebyshev) single order leads the band of envelope waveform H (f)
B=63 wide, side lobe attenuation r are 100dB, are Chebyshev (Chebyshev) single order as shown in figure 19
Lead the frequency domain figure of envelope waveform H (f).It can be seen that, Chebyshev (Chebyshev) single order leads envelope waveform
The frequency-domain waveform of H (f) is smoothed, and in bandwidth centre position, amplitude has a saltus step, and waveform levels off to sine wave, its peak
Value is 1/10 or so of Chebyshev (Chebyshev) window function.
In step s 12, Chebyshev (Chebyshev) single order is led by envelope according to overlapping multiplexing number of times K
Waveform H (f) is shifted on frequency domain by predetermined spectrum intervals, obtains each subcarrier envelope waveform.Specifically
Ground, envelope waveform H (f) the sub- carrier frequency of frequency displacement 0 to 7 respectively is led by Chebyshev (Chebyshev) single order
Spectrum interval △ B, obtain 8 sub- carrier envelope waveforms, wherein i-th subcarrier envelope waveform is
H (f-i* Δ B), 0≤i≤7；Subcarrier spectrum is spaced △ B=B/K=63/3=21.
In step S14, by 8 symbols in sign symbol sequence X and each self-corresponding subcarrier envelope
Waveform is multiplied, and the modulation envelope waveform of each subcarrier is obtained, wherein i-th subcarrier envelope waveform is
Xi* H (f-i* Δ B), 0≤i≤7, the frequency domain figure of each subcarrier envelope waveform as shown in figure 20, wherein waveform
1st, 2 the frequency domain figure of each subcarrier envelope waveform after being multiplied is represented with 3.
In step S15, the modulation envelope waveform of above-mentioned each subcarrier is overlapped on frequency domain, obtained
Multiple modulation envelope waveform on frequency domainAs shown in figure 20, wherein waveform 4 is
The frequency domain figure of multiple modulation envelope waveform S (f).
In step s 16, multiple modulation envelope waveform S (f) on above-mentioned frequency domain is entered into line translation, obtains time domain
On multiple modulation envelope waveform S (t), S (t)=ifft (S (f)).Multiple modulation envelope waveform S (t) in time domain is as schemed
Shown in 21, it can be seen that energy is concentrated and the duration is short in time-domain for it, wherein the abscissa of Figure 21
Sampled point is represented, ordinate represents power, and unit is dB.Finally by the multiple modulation envelope waveform in this time domain
S (t) sends.Reception multiple modulation envelope waveform S (t) afterwards and decoding process is demodulated to it,
It is similar with the process in embodiment one, will not be repeated here.
It can be observed from fig. 19 that Chebyshev (Chebyshev) single order lead envelope waveform H (f) frequency domain by
0 starts, spectral smoothing, and this multiple modulation envelope waveform S (f) for causing to be formed after being superimposed by its frequency-domain linear exists
Waveform on frequency domain is also very smooth, it will be clear that this point, waveform is smoothed on frequency domain from Figure 20
Multiple modulation envelope waveform S (f) is converted into multiple modulation envelope waveform S (t) in time domain, multiple modulation envelope waveform S (t)
Energy is concentrated and the duration is short in time domain, it will be clear that this point from Figure 21.Therefore, quilt
The multiple modulation envelope waveform being transmitted after modulation, its waveform on frequency domain is smoothed, and energy is concentrated in time domain
And the duration is short so that it is excellent good that the overlap frequency-division complex modulation method of the application, apparatus and system have
Performance.Compared to system of the rectangular window envelope waveform as initial envelope waveform is selected, the application is from frequency domain
Smooth Chebyshev (Chebyshev) single order of waveform leads envelope waveform as initial envelope waveform, based on
The reasons why embodiment one is similar so that the application availability of frequency spectrum is high, and signal transmission rate is also high, and only
Relatively low transimission power is needed, there is the relatively low bit error rate when being demodulated.
Embodiment three
With respect to embodiment one and two, in the present embodiment, initial envelope waveform is the smooth Hamming of waveform in frequency domain
The envelope waveform of window and its differentiation window function.
Illustrated so that initial envelope waveform is Hamming window envelope waveform as an example below.
Still with overlapping multiplexing number of times K=3 in embodiment one or two, sign symbol sequence X=- 1 ,+1 ,+1,
- 1 ,+1 ,+1 ,+1, -1 } as a example by.
In step s 11, Hamming window envelope waveform H (f) is generated according to design parameter, in an embodiment
In, bandwidth B=63 of Hamming window envelope waveform H (f) are Hamming window envelope waveform H (f) as shown in figure 22
Frequency domain figure.In one embodiment, Hamming window envelope waveform can be represented with lower mathematic(al) representation：
Wherein, bandwidth B=F+1.
In step s 12, Hamming window envelope waveform H (f) is pressed pre- on frequency domain according to overlapping multiplexing number of times K
Fixed spectrum intervals is shifted, and obtains each subcarrier envelope waveform.Specifically, by Hamming window envelope waveform
0 to 7 subcarrier spectrums of frequency displacement are spaced △ B to H (f) respectively, obtain 8 sub- carrier envelope waveforms, wherein the
I sub- carrier envelope waveform is H (f-i* Δ B), 0≤i≤7；Subcarrier spectrum is spaced △ B=B/K=63/3=21.
In step S14, by 8 symbols in sign symbol sequence X and each self-corresponding subcarrier envelope
Waveform is multiplied, and the modulation envelope waveform of each subcarrier is obtained, wherein i-th subcarrier envelope waveform is
Xi* H (f-i* Δ B), 0≤i≤7, the frequency domain figure of each subcarrier envelope waveform as shown in figure 23, wherein waveform
1st, 2 the frequency domain figure of each subcarrier envelope waveform after being multiplied is represented with 3.
In step S15, the modulation envelope waveform of above-mentioned each subcarrier is overlapped on frequency domain, obtained
Multiple modulation envelope waveform on frequency domainAs shown in figure 23, wherein waveform 4 is
The frequency domain figure of multiple modulation envelope waveform S (f).
In step s 16, multiple modulation envelope waveform S (f) on above-mentioned frequency domain is entered into line translation, obtains time domain
On multiple modulation envelope waveform S (t), S (t)=ifft (S (f)).Multiple modulation envelope waveform S (t) in time domain is as schemed
Shown in 24, it can be seen that energy is concentrated and the duration is short in time-domain for it, wherein the abscissa of Figure 12
Sampled point is represented, ordinate represents power, and unit is dB.Finally by the multiple modulation envelope waveform in this time domain
S (t) sends.Reception multiple modulation envelope waveform S (t) afterwards and decoding process is demodulated to it,
It is similar with the process in embodiment one or two, will not be repeated here.
As seen from Figure 22, Hamming window envelope waveform H (f) is frequency domain is by 0 (actually 0.08),
Spectral smoothing, this causes multiple modulation envelope waveform S (f) formed after being superimposed by its frequency-domain linear on frequency domain
Waveform is also very smooth, it will be clear that this point, the smooth multiple modulation bag of waveform on frequency domain from Figure 23
Network waveform S (f) is converted into multiple modulation envelope waveform S (t) in time domain, and multiple modulation envelope waveform S (t) is in time domain
Upper energy is concentrated and the duration is short, it will be clear that this point from Figure 24.Therefore, after being modulated
The multiple modulation envelope waveform being transmitted, its waveform on frequency domain is smoothed, and energy is concentrated and continued in time domain
Time is short so that the overlap frequency-division complex modulation method of the application, apparatus and system have excellent good performance.
Put down from waveform on frequency domain compared to system of the rectangular window envelope waveform as initial envelope waveform, the application is selected
Sliding Hamming window envelope waveform as initial envelope waveform, based on reason as embodiment one and two-phase, make
The application availability of frequency spectrum it is high, signal transmission rate is also high, and only needs to relatively low transimission power, quilt
There is the relatively low bit error rate during demodulation.
Each embodiment of the application, for now with overlap frequency division multiplexing waveform (modulate window function, that is,
Initial envelope waveform) be analyzed, be successfully found it is a kind of be applied to overlap frequency-division complex modulation method,
The frequency-domain waveform function of device and system, waveform is smoothed on this frequency-domain waveform function requirements frequency domain, so that its turn
Change to after time domain that energy is concentrated and the duration is short, using this frequency-domain waveform function as initial envelope waveform after,
The multiple modulation envelope waveform that modulation is obtained is smooth in the same waveform of frequency domain, when energy is concentrated and continued in time domain
Between it is short so that the overlap frequency-division complex modulation method of the application, device and system are in overlapping multiplexing number of times K
One timing, its relative to rectangular window function as initial envelope waveform system, the availability of frequency spectrum and transmission speed
Degree be refer to greatly improve, and transimission power and the bit error rate are greatly reduced.
Use above specific case is illustrated to the present invention, is only intended to help and understands the present invention, not
It is used to limit the present invention.For those skilled in the art, according to thought of the invention,
Some simple deductions, deformation can also be made or replaced.
Claims (11)
1. it is a kind of to overlap frequency-division complex modulation method, it is characterised in that to comprise the following steps：
The smooth initial envelope waveform of waveform in one frequency domain of generation；
The initial envelope waveform is moved on frequency domain by predetermined spectrum intervals according to overlapping multiplexing number of times
Position, obtains each subcarrier envelope waveform；
The digital signal sequences of input are converted into sign symbol sequence；
Symbol in the sign symbol sequence is multiplied with each self-corresponding subcarrier envelope waveform, obtains each
The modulation envelope waveform of subcarrier；
The modulation envelope waveform of each subcarrier is overlapped on frequency domain, the multiple modulation on frequency domain is obtained
Envelope waveform；
Multiple modulation envelope waveform on the frequency domain is transformed to the multiple modulation envelope waveform in time domain.
2. it is as claimed in claim 1 to overlap frequency-division complex modulation method, it is characterised in that the frequency spectrum
△ B are spaced at intervals of subcarrier spectrum, wherein subcarrier spectrum interval △ B=B/K, B is the initial envelope
The bandwidth of waveform, to overlap multiplexing number, value is non-zero positive number to K.
3. it is as claimed in claim 1 to overlap frequency-division complex modulation method, it is characterised in that by what is be input into
Digital signal sequences are converted into sign symbol sequence and are specially：0 conversion in the digital signal sequences that will be input into
It is+A, 1 is converted to-A, to form sign symbol sequence, the wherein value of A is non-zero Arbitrary Digit.
4. it is as claimed in claim 1 to overlap frequency-division complex modulation method, it is characterised in that described initial
Envelope waveform is Chebyshev's envelope waveform or its envelope waveform for developing window function.
5. it is as claimed in claim 1 to overlap frequency-division complex modulation method, it is characterised in that the polyphony
The output signal sequence that envelope waveform processed is carried is determined by following steps：
When modulation envelope waveform is multiplied by plus sign with subcarrier envelope waveform to be obtained, the modulation envelope ripple is made
The operation values of shape are+A, when modulation envelope waveform is multiplied by minus symbol with subcarrier envelope waveform to be obtained, order
The operation values of the modulation envelope waveform are-A；Wherein the value of A is non-zero Arbitrary Digit；
For each spectrum intervals, the operation values of the modulation envelope waveform that will be located in the spectrum intervals are superimposed,
The output signal of the spectrum intervals is drawn, so as to form output signal sequence.
6. it is a kind of to overlap frequency division multiplexing modulating device, it is characterised in that including：
Waveform generating module, for generating the smooth initial envelope waveform of waveform in a frequency domain；
Shift module, for the initial envelope waveform to be pressed into predetermined on frequency domain according to overlapping multiplexing number of times
Spectrum intervals is shifted, and obtains each subcarrier envelope waveform；
Modular converter, for the digital signal sequences of input to be converted into sign symbol sequence；
Multiplier module, for by the symbol in the sign symbol sequence and each self-corresponding subcarrier Envelop waves
Shape is multiplied, and obtains the modulation envelope waveform of each subcarrier；
Laminating module, for the modulation envelope waveform of each subcarrier to be overlapped on frequency domain, obtains
Multiple modulation envelope waveform on frequency domain；
Conversion module, for the multiple modulation bag being transformed to the multiple modulation envelope waveform on the frequency domain in time domain
Network waveform.
7. it is as claimed in claim 6 to overlap frequency division multiplexing modulating device, it is characterised in that the frequency spectrum
△ B are spaced at intervals of subcarrier spectrum, wherein subcarrier spectrum interval △ B=B/K, B is the initial envelope
The bandwidth of waveform, to overlap multiplexing number, value is non-zero positive number to K.
8. it is as claimed in claim 6 to overlap frequency division multiplexing modulating device, it is characterised in that the conversion
The digital signal sequences of input are converted into sign symbol sequence and are specially by module：The data signal sequence that will be input into
In row 0,1 is converted to ± A, and A values are non-zero Arbitrary Digit.
9. it is as claimed in claim 6 to overlap frequency division multiplexing modulating device, it is characterised in that the waveform
The initial envelope waveform of generation module generation is Chebyshev's envelope waveform or its Envelop waves for developing window function
Shape.
10. it is as claimed in claim 6 to overlap frequency division multiplexing modulating device, it is characterised in that the polyphony
The output signal sequence that envelope waveform processed is carried is made up of the output signal of each spectrum intervals, each spectrum intervals
Output signal is the result after the operation values superposition of the modulation envelope waveform in each spectrum intervals, works as modulation envelope
Waveform is multiplied when obtaining by plus sign with subcarrier envelope waveform, and its operation values is+A, is carried with son by minus symbol
Wave envelope waveform is multiplied when obtaining, and its operation values is-A, and A values are non-zero Arbitrary Digit.
11. a kind of overlap Frequency Division Multiplexing systems, it is characterised in that including transmitter and receiver；
The emitter includes：
Overlap frequency division multiplexing modulating device as any one of claim 6 to 10, generates for modulating
Carry the multiple modulation envelope waveform of output signal sequence；
Emitter, for the multiple modulation envelope waveform to be transmitted into receiver；
The receiver includes：
Reception device, for receiving the multiple modulation envelope waveform；
Frequency division multiplexing demodulating equipment is overlapped, for being demodulated to the multiple modulation envelope waveform for receiving, final warp
Cross decoding and obtain final input bit sequence.
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| CN201510977212.XA CN106911617A (en) | 2015-12-23 | 2015-12-23 | One kind overlaps frequency-division complex modulation method, apparatus and system |
| PCT/CN2016/111405 WO2017107938A1 (en) | 2015-12-23 | 2016-12-22 | Overlapped multiplexing modulation method, apparatus and system |
| JP2018552107A JP6704470B2 (en) | 2015-12-23 | 2016-12-22 | Overlap multiplex modulation method, apparatus and system |
| EP16877748.0A EP3396891A4 (en) | 2015-12-23 | 2016-12-22 | Overlapped multiplexing modulation method, apparatus and system |
| KR1020187019865A KR102277047B1 (en) | 2015-12-23 | 2016-12-22 | A kind of superposition multiplexing modulation method, apparatus and system |
| US16/017,012 US10630408B2 (en) | 2015-12-23 | 2018-06-25 | Overlapped multiplexing modulation method, apparatus and system |
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