CN109039973A - A kind of transmission method of binary frequency shift keying signal - Google Patents

A kind of transmission method of binary frequency shift keying signal Download PDF

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CN109039973A
CN109039973A CN201811076545.5A CN201811076545A CN109039973A CN 109039973 A CN109039973 A CN 109039973A CN 201811076545 A CN201811076545 A CN 201811076545A CN 109039973 A CN109039973 A CN 109039973A
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subsequence
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谢映海
李春晓
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ZHUHAI ZHONGHUI MICROELECTRONICS CO Ltd
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/10Frequency-modulated carrier systems, i.e. using frequency-shift keying
    • H04L27/106M-ary FSK
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L1/00Arrangements for detecting or preventing errors in the information received
    • H04L1/004Arrangements for detecting or preventing errors in the information received by using forward error control
    • H04L1/0056Systems characterized by the type of code used
    • H04L1/0071Use of interleaving

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

Abstract

A kind of transmission method of binary frequency shift keying signal, the following steps are included: being grouped to traditional 2FSK signal, and each packet signal is converted into the new packet signal comprising 2 continuous zero-signals and 6 2FSK signals according to specific mapping relations, new packet signal is then sent to communication channel after channel interleaving;Receiving end is upon receipt of the signals, signal will first be received and carry out signal group demodulating again by inverse channel intertexture, the position of the zero-signal in each packet signal is judged based on signal energy size when to the demodulation of signal subsequence, then the parsing result of other 6 fsk signals is obtained according to inverse mapping relationship, 8 are received the parsing result composition decoding subsequence of signal, the signal of all decoding subsequence composition transmission.The present invention can obtain transmitted error rate performance more lower than traditional 2FSK modulation system by improving to transmission mechanism in the identical rate of information throughput.

Description

A kind of transmission method of binary frequency shift keying signal
Technical field
The invention belongs to field of communication technology more particularly to a kind of transmission sides of improved binary frequency shift keying signal Method.
Background technique
M rank frequency shift keying (M-Frequency Shift Keying, abbreviation M-FSK) is passed using the frequency variation of carrier wave Digital information is passed, is to go keyed carrier frequency using the discrete characteristics taking value of baseband digital signal to transmit a kind of number of information and adjust Technology processed.FSK modulation is since Project Realization is fairly simple, the better performances of antinoise and anti-attenuation, in middle slow data transmission In be widely applied.It wherein, is more commonly exactly the double frequency FSK system that binary ones and 0 are carried using two frequencies, That is Binary Frequency Shift Keying (abbreviation 2FSK) transmission technology.
In the transmission time of a signal chip, 2FSK transmission technology sends 2 different carrier frequencies f by selection1、 f2(f1≠f2) signal carry digital information, wherein binary digit " 0 " corresponds to carrier frequency f1, binary digit " 1 " corresponds to carrier frequency f2, the form of the signal of 2FSK transmission are as follows:
A in formulanFor binary digit bit sequence, T is a signal chip delay, and N is signal conveying length, in number In word Transmission system, the basic unit of information transmission is byte (1 byte=8 bits), therefore usually N is 8 integral multiple.
Since digital communication system is subjected to power constraints, when transmission inclement condition, even if transmitting terminal uses property The 2FSK modulation technique of lowest-order that can be best, the error rate of message transmitting procedure is it is possible to the requirement for being higher than communication system refers to Mark, not can guarantee good signal transmission performance.
Summary of the invention
The purpose of the present invention is to provide one kind can be with the biography of the binary frequency shift keying signal of promotion signal transmission performance Transmission method.
To achieve the goals above, the present invention takes following technical solution:
A kind of transmission method of binary frequency shift keying signal, comprising the following steps:
S1, by binary digit bit sequence [a to be transmitted1,a2,…,an,…,aN] be grouped, obtain multiple points Group signal, each packet signal include 8 elements, k-th of packet signal AkIt is denoted as: Ak=[an',an'+1,...,an'+7], n '= 8k-7, k=1,2 ..., N/8, N are the conveying length of binary digit bit sequence;
S2, each packet signal is converted according to mapping relations respectively, obtains new packet signal, k-th is grouped Signal AkAfter Mapping and Converting, obtained new packet signal AAkAre as follows:
Θ indicates zero-signal;
S3, all new packet signals for obtaining Mapping and Converting form one-dimensional vector X, X=[an AA1,AA2,AA3, AA4,AA5,AA6,AA7,AA8]=[x1,x2,...,xN], xnFor the nth elements in one-dimensional vector X, n=1,2 ..., N;
S4, one-dimensional vector X is interleaved, is written in column, read by row, obtain trinary data stream XX;
S5, trinary data stream XX is modulated, obtains modulated signal Sn(t);
xxnFor the nth elements in trinary data stream XX, f1、f2Respectively For carrier frequency corresponding with " 0 ", " 1 ", t is sending time;
S6, transmitting terminal are by modulated signal Sn(t) to channel, receiving end connects according to traditional 2FSK signal receiver system for transmitting The collection of letters number, obtains the 1st sequence Y1=[y to be adjudicated1,1,y1,2,…,y1,N] and the 2nd sequence Y2=[y to be adjudicated2,1,y2,2,…, y2,N];
S7, two groups of sequences to be adjudicated are carried out with inverse intertexture respectively, is written in column, is read by row, the 1st is obtained and inverse interweaves wait sentence The certainly inverse sequence YY2 to be adjudicated that interweaves of sequence YY1 and the 2nd;
S8, the 1st inverse inverse sequence YY2 to be adjudicated that interweaves of the sequence YY1 and the 2nd to be adjudicated that interweaves is grouped respectively, is each got To N/8 grouping subsequence, each grouping subsequence includes 8 signal values, corresponding in sequence wait adjudicate against interweaving by two The grouping subsequence of serial number is combined decoding, first obtains the decoding of 2 receptions signal corresponding with symbol Θ as a result, obtaining again The decoding of remaining 6 receptions signal is as a result, the decoding result of 8 reception signals forms a decoding subsequence;
The decoding procedure for being grouped subsequence is as follows:
The 1st grouping subsequence [yy1 of interweave to be adjudicated sequence YY1 inverse for the 1st1,yy12,yy13,yy14,yy15, yy16,yy17,yy18] and the 2nd inverse sequence YY2 to be adjudicated that interweaves the 1st grouping subsequence [yy21,yy22,yy23,yy24, yy25,yy26,yy27,yy28],
Enable Pm=| yy12m-1|2+|yy12m|2+|yy22m-1|2+|yy22m|2, m=1,2,3,4;
Compare P1、P2、P3And P4Value, find out minimum value P thereinr=min (P1,P2,P3,P4), r P1、P2、P3And P4 The subscript of middle minimum value;
Based on r value, the 1st and the 2nd for obtaining the 1st decoding subsequence receives the decoding of signal (bit) as a result, i.e.
And it is based on r value, abandon the 1st grouping subsequence and the 2nd inverse sequence to be adjudicated that interweaves of the 1st inverse sequence to be adjudicated that interweaves Two remaining 6 elements of grouping subsequence are denoted as [m1 by corresponding element in the 1st grouping subsequence of column1,m12,m13, m14,m15,m16] and [m21,m22,m23,m24,m25,m26], using traditional 2FSK signal interpretation algorithm to the 1st decoding The remaining 6 receptions signal of sequence is decoded:
The decoding result of 8 reception signals forms the 1st decoding subsequence, in the same manner successively to two inverse friendships It knits and is decoded wait adjudicate remaining grouping subsequence in sequence, after obtaining all decoding subsequences, subsequence group will be decoded Synthesize transmitted signal.
From the above technical scheme, the method for the present invention introduces in traditional 2FSK technical foundation based on continuous zero-signal Novel information carrying mode, in the transmitted signals comprising 3/4 2FSK modulated signal and 1/4 zero-signal, only due to spacing wave Time interval resource is occupied, power resource is not take up, therefore power can be transferred on other 2FSK signals, improves 2FSK tune The received signal to noise ratio of signal processed, while the information carrying mode formed using the locational uncertainty of spacing wave, receiver is to zero The error rate of the location algorithm of signal is much smaller than the error rate of tradition 2FSK modulation system, it is possible thereby to which the demodulation for reducing signal is wrong Accidentally rate.The method of the present invention takes full advantage of the time diversity gain of wireless channel, compared with traditional 2FSK modulator approach, identical The rate of information throughput in the case of can generally obtain transmitted error rate performance more lower than traditional 2FSK modulation system and Certain performance of BER gain.
Detailed description of the invention
It in order to illustrate the embodiments of the present invention more clearly, below will be to required use in embodiment or description of the prior art Attached drawing do simple introduction, it should be apparent that, drawings in the following description are only some embodiments of the invention, for ability For the those of ordinary skill of domain, without creative efforts, it can also be obtained according to these attached drawings other attached Figure.
Fig. 1 is the performance of BER of the method for the present invention and traditional 2FSK transmission method in the case of Gaussian white noise channel Curve graph.
Specific embodiment
In order to above and other objects of the present invention, feature and advantage can be become apparent from, the embodiment of the present invention is cited below particularly, And cooperate appended diagram, it is described below in detail.
The basic ideas of the method for the present invention are: being grouped to traditional 2FSK signal, and according to specific mapping relations Each packet signal is converted into the new packet signal comprising 2 continuous zero-signals and 6 2FSK signals, then will newly be grouped letter Number communication channel is sent to after channel interleaving;Receiving end upon receipt of the signals, will first receive signal and hand over by inverse channel It knits and carries out signal group demodulating again, when demodulation judges the position of the zero-signal in each packet signal based on signal energy size It sets, the parsing result of other 6 fsk signals is then obtained according to inverse mapping relationship, by improving to transmission mechanism, with reality Better laser propagation effect is obtained in the case where present identical transmission rate.
It is core of the invention thought above, the technical solution of the embodiment of the present invention will be carried out clearly and completely below Description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.Based on this hair Embodiment in bright, the every other implementation that those of ordinary skill in the art obtain without making creative work Example, shall fall within the protection scope of the present invention.
In the following description, numerous specific details are set forth in order to facilitate a full understanding of the present invention, but the present invention can be with It is different from other way described herein using other and implements, those skilled in the art can be without prejudice to intension of the present invention In the case of do similar popularization, therefore the present invention is not limited by the specific embodiments disclosed below.
The transmission method of improved 2FSK signal of the invention, comprising the following steps:
S1, by binary digit bit sequence [a to be transmitted1,a2,…,an,…,aN] be grouped, n=1,2 ..., N, N are the conveying length of binary digit bit sequence, obtain multiple packet signals, and each packet signal includes 8 elements (letter Number value), k-th of packet signal AkIt is denoted as: Ak=[an',an'+1,...,an'+7], n '=8k-7, k=1,2 ..., N/8;
S2, each packet signal is respectively converted into new packet signal according to mapping relations, for k-th of packet signal Ak, After the conversion of following mapping relations, obtained new packet signal AAkAre as follows:
Θ indicates zero-signal, is It is different from the symbol of binary digit bit 0 and 1;
With the 1st packet signal A1For, A1=[a1,a2,a3,a4,a5,a6,a7,a8], ai=0/1, i=1,2 ..., 8, The 1st new packet signal obtained according to the conversion of following mapping relations
S3, all new packet signals obtained after mapping are formed into one-dimensional vector X, X=[an AA containing N number of element1, AA2,AA3,AA4,AA5,AA6,AA7,AA8]=[x1,x2,...,xN], xnFor the nth elements in one-dimensional vector X, xn=0/1/ Θ;
S4, one-dimensional vector X is interleaved, is written in column, read by row, obtain trinary data stream XX;
It is written in column are as follows:
It is read by row are as follows:
S5, the trinary data stream XX obtained after intertexture is modulated, obtains modulated signal Sn(t);
xxnFor in trinary data stream XX N element, f1、f2Carrier frequency respectively corresponding with symbol " 0 " or " 1 ", t are sending time, and T is a signal chip delay, n =1,2 ..., N;
S6, transmitting terminal are by modulated signal Sn(t) to channel, receiving end connects according to traditional 2FSK signal receiver system for transmitting It collects mail number, that is, the use of two frequency bins is respectively f1And f2Bandpass filter carry out matched filtering and sampling to receiving signal respectively Afterwards, the sequence to be adjudicated that two groups of length are N: the 1st sequence Y1=[y to be adjudicated is obtained1,1,y1,2,…,y1,N] and the 2nd sequence to be adjudicated Arrange Y2=[y2,1,y2,2,…,y2,N];
S7, two groups of sequences to be adjudicated are carried out with inverse intertexture respectively, is written in column, is read by row, obtain two groups it is inverse interweave to Judgement sequence: the 1st inverse inverse sequence YY2 to be adjudicated that interweaves of the sequence YY1 and the 2nd to be adjudicated that interweaves;
1st sequence Y1 to be adjudicated is written in column are as follows:
It is read by row are as follows:
2nd sequence Y2 to be adjudicated is written in column are as follows:
It is read by row are as follows:
S8, two groups of inverse sequence YY1 and YY2 to be adjudicated that interweave are grouped respectively, each grouping sub-series of packets is containing 8 letters Number value, respectively obtains N/8 grouping subsequence, and each length for being grouped subsequence is 8, by two against interweaving wait adjudicate in sequence The grouping subsequence of corresponding serial number is combined decoding, first obtains the decoding of 2 receptions signal corresponding with symbol Θ as a result, again Obtain remaining 6 receptions signal decodes decoding results one decoding subsequence of composition as a result, 8 reception signals, obtains After all decoding subsequences, combine decoding subsequence to obtain transmitted signal;
The decoding procedure for being grouped subsequence is as follows:
The 1st grouping subsequence [yy1 of interweave to be adjudicated sequence YY1 inverse for the 1st1,yy12,yy13,yy14,yy15, yy16,yy17,yy18] and the 2nd inverse sequence YY2 to be adjudicated that interweaves the 1st grouping subsequence [yy21,yy22,yy23,yy24, yy25,yy26,yy27,yy28],
Enable Pm=| yy12m-1|2+|yy12m|2+|yy22m-1|2+|yy22m|2, m=1,2,3,4;
Compare P1、P2、P3And P4Value, find out minimum value P thereinr=min (P1,P2,P3,P4), r P1、P2、P3And P4 The subscript of middle minimum value, for example, if P1、P2、P3And P4In minimum value be P3, then r=3;
Based on r value, the 1st and the 2nd for obtaining the 1st decoding subsequence receives the decoding of signal (bit) as a result, i.e.
Based on r value, corresponding element in the 1st grouping subsequence of YY1 and the 1st grouping subsequence of YY2 is abandoned, it will Two signals of the grouping subsequence residue containing 6 elements are denoted as [m11,m12,m13,m14,m15,m16] and [m21,m22,m23, m24,m25,m26], the remaining 6 reception signals of the 1st decoding subsequence are carried out using traditional 2FSK signal interpretation algorithm Decoding:
The decoding procedure of repeated packets subsequence successively remains two against interweaving using identical method wait adjudicate in sequence Under the 2nd, 3 ..., N/8 grouping subsequence decoded, 2nd point of the sequence YY1 to be adjudicated that interweaves such as inverse for the 1st Group subsequence [yy19,yy110,yy111,yy112,yy113,yy114,yy115,yy116] and the 2nd inverse interweave sequence YY2's to be adjudicated 2nd grouping subsequence [yy29,yy210,yy211,yy212,yy213,yy214,yy215,yy216], according to aforementioned PmCalculating it is public Formula calculates P1、P2、P3And P4Value, that is, P1=| yy19|2+|yy110|2+|yy29|2+|yy210|2, P2=| yy111|2+|yy112 |2+|yy211|2+|yy212|2, P3=| yy113|2+|yy114|2+|yy213|2+|yy214|2, P4=| yy115|2+|yy116|2+| yy215|2+|yy216|2, minimum value therein is then found out, to determine r value, to obtain the 1st, the 2 of the 2nd decoding subsequence The decoding of a decoding result for receiving signal and remaining 6 receptions signals is as a result, the decoding results of 8 reception signals form the 2 decoding subsequences, and so on, N/8 decoding subsequence is obtained, all decoding subsequences are combined into transmitted letter Number.
It is sent and received in mechanism by above-mentioned signal as can be seen that of the invention by binary system to be transmitted (0 and 1) data Stream carries out the packet transaction that length is 8, then every group of data is mapped to one by one trinary data group (0,1 and the special symbol of equal length Number Θ), after carrying out channel interleaving to trinary data group, 3/4 0 and 1 element is accounted for according to traditional 2FSK method in data flow It is modulated, and the remaining 1/4 additional character Θ of accounting for is the zero-signal for not sending any signal;Receiver passes through Signal Matching After filtering and sampling, carry out carrying out the packet transaction that length is 8, then equally then against interweaving with energy size to signal is received 2 continuous symbol Θ in each trinary data group are positioned, obtain the decoding of 2 bits accordingly as a result, then basis Positioning result decodes to obtain the numerical value of remaining 6 element of the trinary data group using traditional 2FSK algorithm.
Since 2 Θ elements in each trinary data group are to carry without the zero-signal of any transmitting signal at two Corresponding reception signal is all pure noise signal in wave working frequency, and remaining 60 and 1 element correspond to 2FSK energy letter Number, therefore corresponding reception signal is energy signal polluted by noise, another carrier wave work in a carrier operation frequency Corresponding reception signal is pure noise signal on working frequency, i.e.,Formula In ρ indicate that the average signal-to-noise ratio of transmitting signal is (6 remaining due to containing 2 zero-signals in 8 chip delays 8/6), h indicates the channel fading factor of transmitting signal to the transmitting power promotion of 2FSK signal, since packet data have passed through letter Road interleaving treatment, the channel fading factor is mutually indepedent, and w represents noise item, for mutually indepedent, mean value 0, the real height that variance is 1 This stochastic variable.
And if only if in every group of trinary data the corresponding reception signal energy of 2 Θ elements and be minimum value when, receive Their position can be properly positioned just now, otherwise mistake will occur in positioning, and in addition to will lead to the 1st and the 2nd ratio Special decoding error, can also related influence other 60 and 1 elements demodulation work, it can thus be seen that mistake of the invention Rate performanceIn formulaIndicate that 4 mutually independent pure are made an uproar Acoustical signal w1、w2、w3And w4The sum of energy, k=1,2,3,4,It indicates The sum of the energy of the energy of 2 mutually independent pure noise signals and other two 2FSK energy signal polluted by noise, formula In hkFor the corresponding channel fading factor of the fsk signal,For 4 mutually indepedent, mean values 0, the real Gauss that variance is 1 with Machine variable.
Emulation experiment is carried out using traditional traditional 2FSK transmission method and the method for the present invention, under Gaussian white noise channel Obtained performance of BER curve is as shown in Figure 1.It will be seen from figure 1 that with the increase of Signal-to-Noise, the method for the present invention Error rate fall off rate be apparently higher than the bit error rate fall off rate of traditional 2FSK transmission method under identical parameters;Signal letter When making an uproar than 10dB, the error rate (about 10 of the method for the present invention-4) only tradition 2FSK transmission method bit error rate (about 10-3) 1/10 or so, and with the increase of transmitting Signal-to-Noise, the difference further expansion of the two.
In the case where the method for the present invention low error rate, receiving end not only can demodulate every group with low-down error rate The the 1st, 2 element in binary data that length is 8, while the signal of 1/4 ratio prevents take up power resource, therefore other 3/4 The transmission power of the 2FSK symbol of ratio can be improved 8/6 times, to reduce its demodulation error rate for corresponding to 6 binary datas. Therefore it sees on the whole, the method for the present invention can obtain in frequency efficiency situation identical with tradition 2FSK modulation technique Greater than 10 × log10 (8/6)=1.25dB performance of BER gain.
The foregoing description of the disclosed embodiments enables those skilled in the art to implement or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, as defined herein General Principle can be realized in other embodiments without departing from the spirit or scope of the present invention.Therefore, of the invention It is not intended to be limited to embodiment illustrated herein, and is to fit to consistent with the principles and novel features disclosed in this article Widest range.

Claims (1)

1. a kind of transmission method of binary frequency shift keying signal, which comprises the following steps:
S1, by binary digit bit sequence [a to be transmitted1,a2,…,an,…,aN] be grouped, obtain multiple grouping letters Number, each packet signal includes 8 elements, k-th of packet signal AkIt is denoted as: Ak=[an',an'+1,...,an'+7], n '=8k- 7, k=1,2 ..., N/8, n=1,2 ..., N, N are the conveying length of binary digit bit sequence;
S2, each packet signal is converted according to mapping relations respectively, obtains new packet signal, k-th of packet signal AkPass through After Mapping and Converting, obtained new packet signal AAkAre as follows:
Θ indicates zero-signal;
S3, all new packet signals for obtaining Mapping and Converting form one-dimensional vector X, X=[an AA1,AA2,AA3,AA4,AA5, AA6,AA7,AA8]=[x1,x2,...,xN], xnFor the nth elements in one-dimensional vector X;
S4, one-dimensional vector X is interleaved, is written in column, read by row, obtain trinary data stream XX;
S5, trinary data stream XX is modulated, obtains modulated signal Sn(t);
xxnFor the nth elements in trinary data stream XX, f1、f2Respectively with " 0 ", " 1 " corresponding carrier frequency, t is sending time;
S6, transmitting terminal are by modulated signal Sn(t) transmitting to channel, receiving end receives letter according to traditional 2FSK signal receiver system Number, obtain the 1st sequence Y1=[y to be adjudicated1,1,y1,2,…,y1,N] and the 2nd sequence Y2=[y to be adjudicated2,1,y2,2,…,y2,N];
S7, two groups of sequences to be adjudicated are carried out with inverse intertexture respectively, is written in column, is read by row, the 1st inverse sequence to be adjudicated that interweaves is obtained The inverse sequence YY2 to be adjudicated that interweaves of column YY1 and the 2nd;
S8, the 1st inverse inverse sequence YY2 to be adjudicated that interweaves of the sequence YY1 and the 2nd to be adjudicated that interweaves respectively is grouped, respectively obtains N/8 A grouping subsequence, each grouping subsequence include 8 signal values, and serial number is corresponded in sequence wait adjudicate against interweaving by two Grouping subsequence is combined decoding, first obtains the decoding of 2 receptions signal corresponding with symbol Θ as a result, obtaining again remaining The decoding of 6 reception signals is as a result, the decoding result of 8 reception signals forms a decoding subsequence;
The decoding procedure for being grouped subsequence is as follows:
The 1st grouping subsequence [yy1 of interweave to be adjudicated sequence YY1 inverse for the 1st1,yy12,yy13,yy14,yy15,yy16, yy17,yy18] and the 2nd inverse sequence YY2 to be adjudicated that interweaves the 1st grouping subsequence [yy21,yy22,yy23,yy24,yy25, yy26,yy27,yy28],
It enables
Compare P1、P2、P3And P4Value, find out minimum value P thereinr=min (P1,P2,P3,P4), r P1、P2、P3And P4In most The subscript of small value;
Based on r value, the 1st and the 2nd for obtaining the 1st decoding subsequence receives the decoding of signal (bit) as a result, i.e.
And it is based on r value, abandon the 1st grouping subsequence and the 2nd inverse sequence to be adjudicated that interweaves of the 1st inverse sequence to be adjudicated that interweaves Two remaining 6 elements of grouping subsequence are denoted as [m1 by corresponding element in the 1st grouping subsequence1,m12,m13,m14, m15,m16] and [m21,m22,m23,m24,m25,m26], using traditional 2FSK signal interpretation algorithm to the 1st decoding subsequence Remaining 6 receptions signal is decoded:
The decoding results of 8 reception signals form the 1st decoding subsequence, in the same manner successively to two inverse intertextures to Remaining grouping subsequence is decoded in judgement sequence, and after obtaining all decoding subsequences, decoding subsequence is combined into The signal transmitted.
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CN105634722A (en) * 2015-12-28 2016-06-01 西安电子科技大学 Anti-interception method for camouflaging MFSK as frequency hopping system
CN105915484A (en) * 2016-04-15 2016-08-31 广州海格通信集团股份有限公司 Single-tone and multi-tone interference de-noising method for broadband BPSK signal

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CN110247869A (en) * 2019-02-21 2019-09-17 北京遥感设备研究所 2FSK decoding system and method based on data encoding type and verification mode
CN110247869B (en) * 2019-02-21 2021-11-23 北京遥感设备研究所 2FSK decoding system based on data coding type and checking mode
CN113726704A (en) * 2021-07-26 2021-11-30 北京理工大学 Frequency shift chirp spread spectrum modulation and demodulation method based on grouping
CN114760638A (en) * 2022-04-29 2022-07-15 金陵科技学院 Method for realizing spread spectrum MSK baseband signal matched filter
CN114760638B (en) * 2022-04-29 2023-05-09 金陵科技学院 Implementation method suitable for spread spectrum MSK baseband signal matched filter

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