CN106130691B - Based on the Jam-resistant Secure Communications System and method for for being augmented coded modulation - Google Patents
Based on the Jam-resistant Secure Communications System and method for for being augmented coded modulation Download PDFInfo
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- CN106130691B CN106130691B CN201610515429.3A CN201610515429A CN106130691B CN 106130691 B CN106130691 B CN 106130691B CN 201610515429 A CN201610515429 A CN 201610515429A CN 106130691 B CN106130691 B CN 106130691B
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/12—Arrangements for detecting or preventing errors in the information received by using return channel
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0076—Distributed coding, e.g. network coding, involving channel coding
Abstract
The present invention relates to based on the Jam-resistant Secure Communications System and method for for being augmented coded modulation, belong to Jam-resistant Secure Communications field.The system includes: that the dynamic of transmitting terminal physical layer is arranged in be augmented transmitter, and the dynamic that receiving end physical layer is arranged in is augmented receiver, and transmitting terminal is communicated with receiving end by main channel, and receiving end is fed back by disclosing limited feedback channel.This method comprises: the plaintext sequence for being dynamically augmented whether transmitter is successfully transmitted according to the feedback and judge last time information block of receiving end in transmitting terminal, and being successfully transmitted based on the last time, which generates to send, is augmented sequence, then carry out being augmented coded modulation using the sequence；In receiving end, receiver is dynamically augmented according to the newest plaintext sequence generation reception being once properly received and is augmented sequence, then carries out being augmented demodulation coding using the sequence, obtains corresponding reception in plain text, and carry out integrity check, result is fed back into transmitting terminal.The anti-interference secrecy transmission of information can be achieved in the present invention.
Description
Technical field
It is the invention belongs to Jam-resistant Secure Communications field, in particular to a kind of based on the anti-interference secrecy for being augmented coded modulation
Communication system and method.
Background technique
With the fast development and extensive use of wireless communication technique, wireless communication user terminal and message volume are rapid
Increase, frequency spectrum resource is more and more crowded, and channel disturbance is increasingly severe；Meanwhile being related to business, individual privacy and national security
Sensitive information also unavoidably need to transmit by open wireless channel, easily eavesdrop and detect receipts, information by illegal user
Safety problem is prominent.How to carry out Jam-resistant Secure Communications just becomes a urgent problem to be solved.
In traditional Jam-resistant Secure Communications system, malicious interference and eavesdropping are resisted usually using spread spectrum is jumped.
Traditional frequency hopping spread spectrum (FHSS) communication system, as shown in Figure 1, including the jump spread spectrum transmitter that transmitting terminal physical layer is arranged in, setting is being connect
The jump band spread receiver of receiving end physical layer.Transmitting terminal is communicated with receiving end by main channel.The communication means of the system is such as
Shown in Fig. 1, key step are as follows: transmitting-receiving both ends are before transmission starts, secret agreement symmetric key k；In transmitting terminal, spread spectrum transmission is jumped
Using the corresponding frequency hopping pattern of symmetric key k generation, perhaps then frequency expansion sequence utilizes frequency hopping pattern or frequency expansion sequence pair to machine
Send plaintext miBand spectrum modulation is carried out, spread-spectrum signal s is obtainedi；By siIt sends on the primary channel, receiving end and eavesdropping end obtain respectively
To reception spread-spectrum signal riWith eavesdropping spread-spectrum signal r 'i；In receiving end, jumps band spread receiver and generate and send using symmetric key k
Holding identical frequency hopping pattern, perhaps frequency expansion sequence is completed to receive spread-spectrum signal r using frequency hopping pattern or frequency expansion sequenceiSolution
Expand, obtains receiving plaintext m 'i.For listener-in, since it does not know the changing rule of frequency hopping pattern or frequency expansion sequence,
Therefore it is unable to complete eavesdropping spread-spectrum signal r 'iDespreading, finally obtained eavesdropping plaintext mi″≠mi, oneself can not also be generated
Interference signal carries out identical direct sequence spread spectrum or frequency hopping, realizes Jam-resistant Secure Communications.However, with computing technique and modern times
The development of electronics investigative technique, illegal user can obtain frequency hopping pattern or frequency expansion sequence etc. by Digital Signal Processing means
The interference signal oneself generated to carry out the intercepting and capturing of spread-spectrum signal, and is carried out identical direct sequence spread spectrum or jump by key message
Frequently.Therefore, traditional Jam-resistant Secure Communications systems face based on spread spectrum serious challenge.
Be augmented the low signal-to-noise ratio limit antijam communication mode that is built upon on foundations of information theory of communication, it using time domain,
It is empty to be drawn broadly to entire signal by modulating-coding by the Multidimensional signal spaces such as frequency domain, airspace and code domain as far as possible for information
Between, under the decomposition of any signal space, signal all occupies considerable dimension.It has surmounted the anti-dry of conventional spread spectrum communication
Security schema is disturbed, in the case where disturber grasps the core parameters such as communications band, the frequency pattern of communication party completely, is augmented logical
Letter still maintains effective anti-interference ability of anti-interception.
Summary of the invention
It is a kind of based on being augmented the anti-of coded modulation it is an object of the invention to propose in place of overcome the deficiencies in the prior art
Interfere secret signalling and method.The present invention can be used for realizing the anti-interference secrecy transmission of information, meet following wireless military
The demand of communication system.
It is proposed by the present invention a kind of based on the Jam-resistant Secure Communications system for being augmented coded modulation, which is characterized in that this is
System includes: that the dynamic of transmitting terminal physical layer is arranged in be augmented transmitter, and the dynamic that receiving end physical layer is arranged in is augmented receiver,
Transmitting terminal is communicated with receiving end by main channel, and receiving end is fed back by disclosing limited feedback channel.
It is proposed by the present invention based on the Jam-resistant Secure Communications method for being augmented coded modulation, which is characterized in that in transmitting terminal,
Dynamic is augmented whether transmitter is successfully transmitted according to the feedback and judge last time information block of receiving end, and based on last success
The plaintext sequence of transmission, which generates to send, is augmented sequence, is then augmented sequence using transmission and carries out being augmented coded modulation；In receiving end,
Dynamic is augmented receiver and is augmented sequence according to the newest plaintext sequence generation reception being once properly received, and is then augmented using reception
Sequence carries out being augmented demodulation coding, obtains corresponding reception in plain text, and carry out integrity check in plain text to receiving, result is fed back
To transmitting terminal.This method specifically includes the following steps:
1) in transmitting terminal, to i-th of transmission plaintext miGenerate r bit long integrity check sequence and be attached to send it is bright
Wen Hou obtains sending information bit vector ki；Wherein, miLength be m bit；kiLength be k bit, k=m+r；I=1,
2 ..., N, r, m, N are positive integer；
2) in transmitting terminal, it is augmented sequence generator feedback signal f based on the receivedi-1With last transmission plaintext mi-1,
It generates to send and is augmented sequence Fi；
2.1) it for first time transmission process, is augmented sequence generator generation transmission and is augmented sequence Fi=F0, F0Initially to expand
Sequence is tieed up, length is P bit, P=N1+N2+N3+N4, N1,N2,N3,N4Respectively represent be augmented time domain in sequence, frequency domain, airspace and
Code domain is augmented the length of sequence, N1,N2,N3,N4It is positive integer；For next transmission process, feedback is received when the last time
Signal fi-1When equal to 0, transmission is augmented sequence and remains unchanged, Fi=Fi-1；As the feedback signal f that the last time receivesi-1When equal to 1,
Fi=h (mi-1), length is P bit, and h () is common hash function；
2.2) by FiAccording to order from left to right, it is decomposed into the vector comprising 4 row vectors
WhereinSequence, length N are augmented for time domain1Bit；Sequence, length N are augmented for frequency domain2Bit；It is augmented for airspace
Sequence, length N3Bit；Sequence, length N are augmented for code domain4Bit；
3) in transmitting terminal, channel encoder is to transmission information bit vector kiChannel coding is carried out, obtains sending code word ci,
Length is n-bit, and n is positive integer；
3.1) sequence is augmented using code domainTo basic matrix HBIt is expanded, obtains the sparse random matrix H of transmitting terminali；Wherein
HBSize is mB×nB, HiSize is mBT×nBT, T are the ring shift right unit displacement square matrix Q for expansionTDimension；
3.1.1 code domain) is augmented sequenceIt is divided into the vector comprising J numberIts
InBe length be log2The signless integer of T bit；
3.1.2) for basic matrix HBIn " 0 " element, be broadened into size be T × T null matrix 0T×T；For base
Matrix HBIn " 1 " element, be broadened into size be T × T square matrix QT(tj)；Wherein j is " 1 " element according to from left to right,
Number from top to bottom, j=1,2 ..., J；tjFor the corresponding bias factor of j-th of square matrix,Finally obtain transmitting terminal
Sparse random matrix Hi；
3.2) by HiIt is divided into two submatrixs, i.e. Hi=[A, B], wherein the size of A is mBT×(nB-mB)T；B's is big
Small is mBT×mBT, and B-1In the presence of；Then it calculates and sends code word ci:
ci=ki·(B-1·A)T (1)
4) it in transmitting terminal, is augmented mapper and completes to send code word ciMapping on frequency domain, time domain and airspace, is sent
Orthogonal symbols sequence xi；
4.1) for sending code word ci, according to BPSK constellation point rule, obtain sending constellation point sequence cti=
(cti,1,cti,2,...cti,t...,cti,n), wherein positive integer t=1,2 ..., n；
4.2) sequence is augmented according to frequency domainIt is each constellation point ct from orthogonal carrier frequencies seti,tSelect carrier wave
Frequency is completed to send code word ciFrequency domain mapping；
4.3) sequence is augmented according to time domainIt is each constellation point ct from orthogonal sending time slots seti,tSelection is sent
Time slot is completed to send code word ciWhen domain mapping；
4.4) sequence is augmented according to airspaceIt is each constellation point ct from orthogonal directed beam seti,tSelection orientation
Wave beam is completed to send code word ciAirspace mapping；
5) in transmitting terminal, modulator is augmented to transmission orthogonal symbols sequence xiIt carries out being augmented modulation, obtains transmission and be augmented letter
Number sequence si；
6) in transmitting terminal, transmission antenna array utilizes directional beam, transmission is augmented signal sequence siIn fl transmission master
It is transmitted on channel；
7) in receiving end, sequence generator is augmented according to the feedback signal f of transmissioni-1With last reception plaintext m 'i-1,
It generates to receive and is augmented sequence F 'i；
7.1) for first time transmission process, reception is augmented sequence F 'i=F0；For next transmission process, when upper one
Secondary transmission feedback signal fi-1When equal to 0, reception is augmented sequence and remains unchanged, F 'i=F 'i-1；When the feedback letter that the last time sends
Number fi-1When equal to 1, F 'i=h (mi-1)=(f 'i,0,f′i,1,...,f′i,P-1)；
7.2) by F 'iAccording to order from left to right, it is decomposed into the vector comprising 4 row vectorsWhereinSequence, length N are augmented to receive time domain1Bit；Sequence is augmented to receive frequency domain
Column, length N2Bit；Sequence, length N are augmented to receive airspace3Bit；Sequence, length are augmented for receiving code field
For N4Bit；
8) in receiving end, receiving antenna array is augmented sequence by receiving airspaceIt determines directional beam direction, carries out wave
Beam receives, and obtains reception and is augmented signal sequence ri=(ri,0,ri,1,...,ri,N-1)；Then:
ri=γ × si+ni (2)
Wherein, γ is channel fading coefficient, the amplitude of fading a, niFor white Gaussian noise, bilateral power spectral density is
9) in receiving end, demodulator is augmented according to frequency domain is received and is augmented sequenceIt determines the carrier frequency for sending signal, leads to
It crosses reception time domain and is augmented sequenceIt determines the time slot for sending signal, then carries out signal detection, obtain receiving constellation point sequence
ct′i=(ct 'i,0,ct′i,1,...ct′i,t...,ct′i,N-1)；
9.1) for the detection algorithm that is concerned with, it is as follows to obtain posterior probability:
9.2) for noncoherent detection algorithm, it is as follows to obtain posterior probability:
Wherein, EsFor orthogonal symbol energy, I0() is 0 rank first kind modified Bessel function, is defined as:
9.3) calculated posterior probability obtains receiving constellation point sequence ct 'i=(ct 'i,0,ct′i,1,
...ct′i,t...,ct′i,N-1)；
10) in receiving end, de-mapping device is augmented according to BPSK constellation point demapping rule, according to reception constellation point sequence
ct′i=(ct 'i,0,ct′i,1,...ct′i,t...,ct′i,N-1), it obtains receiving code word c 'i；
11) in receiving end, channel decoder is to reception code word c 'iIt is decoded, obtains receiving information bit vector k 'iWith
Receive plaintext sequence m 'i, wherein receiving plaintext sequence m 'iThe output of receiver is augmented as the dynamic；
11.1) sequence is augmented using receiving code fieldCarry out basic matrix HBExpansion, obtain the sparse random matrix in receiving end
H′i；
11.2) by existing degree of confidence propagation decoding algorithm, H ' is utilizediIt completes to receive code word c 'iDecoding, connect
Collect mail breath bit vectors k 'i, k 'iIn preceding l bit be receive plaintext m 'i；
12) in receiving end, integrity checker is to reception plaintext m 'iRecalculate the integrity check for generating r bit long
Sequence, if with k 'iIn integrity check sequence it is identical, then generate feedback signal fi=1, otherwise generate feedback signal fi=0,
Transmitting terminal is notified by disclosing limited feedback channel.
The features of the present invention and the utility model has the advantages that
The dynamic of transmitting terminal is augmented transmitter and the dynamic of receiving end is augmented receiver according to the completion of the plaintext sequence of transmission
Be augmented sequence synchronous dynamic update, and listener-in can only passive tracking be augmented the dynamic change of sequence, once there is recipient
The case where demodulation coding success and listener-in's demodulation coding fail contains error code in the information sequence that then obtains due to listener-in,
Therefore it cannot obtain correctly being augmented sequence for what is transmitted next time, in next transmission process, listener-in cannot
It carries out the demodulation coding for being augmented signal, or interference signal is carried out identical to be augmented modulation.To ensure that the safety of information
Reliable transmission.
In communication system of the invention, the generation of sequence is augmented dependent on the plaintext sequence sent, due to plaintext sequence
Stochastic behaviour, therefore listener-in is also difficult to crack by way of statistical attack and is augmented sequence, or passes through EP-3 electronic reconnaissance plane EP-3
Etc. means obtain the dynamic rule for being augmented sequence in advance, also can not just carry out the demodulation coding for being augmented signal, or will do
Disturb signal carry out it is identical be augmented modulation, to ensure that the safety and reliability of transmission.
Detailed description of the invention
Fig. 1 is the structural block diagram of traditional spread spectrum communication system.
Fig. 2 is the structural block diagram of the invention based on the Jam-resistant Secure Communications system for being augmented coded modulation.
Fig. 3 is the structural block diagram that transmitter is dynamically augmented in present system.
Fig. 4 is the structural block diagram that receiver is dynamically augmented in present system.
Fig. 5 is the assemble of symbol schematic diagram that time domain, frequency domain, airspace are orthogonal in present system.
Specific embodiment
It is proposed by the present invention a kind of based on the Jam-resistant Secure Communications System and method for for being augmented coded modulation, below with reference to attached
Figure and specific embodiment are described in further detail below.
It is proposed by the present invention a kind of based on the Jam-resistant Secure Communications system for being augmented coded modulation, structural block diagram such as Fig. 2 institute
Show, which includes: that the dynamic of transmitting terminal physical layer is arranged in be augmented transmitter, and the dynamic that receiving end physical layer is arranged in is augmented
Receiver, transmitting terminal are communicated with receiving end by main channel, and receiving end is fed back by disclosing limited feedback channel.
The dynamic is augmented transmitter, and structural block diagram is augmented sequence generator as shown in figure 3, by integrity checker, letter
Road encoder, is augmented mapper, is augmented modulator and transmission antenna array is constituted；Wherein:
Integrity checker is used for the plaintext sequence m by existing check bit generating algorithm, send to thisiIt calculates
After generating completeness check bit and being attached to transmission plaintext sequence, obtain sending information bit vector ki；
Sequence generator is augmented for feedback signal f based on the receivedi-1With last transmission plaintext mi-1, generate and send
It is augmented sequence Fi；
Channel encoder is used to be augmented sequence F according to transmissioni, to transmission information bit vector kiIt is encoded, is sent
Code word ci；
Mapper is augmented for being augmented sequence F according to transmissioni, code word c will be sentiIt is mapped as orthogonal symbols sequence xi；
Modulator is augmented for completing orthogonal symbols sequence xiModulation, obtain send be augmented signal sequence si；
Transmission antenna array will be for that will be augmented signal sequence siIt is sent by directional beam, is augmented as the dynamic
The output of transmitter.
The dynamic is augmented receiver, and structural block diagram is as shown in figure 4, by being augmented sequence generator, receiving antenna array expands
Demodulator is tieed up, de-mapping device is augmented, integrity checker and channel decoder are constituted；Wherein:
Sequence generator is augmented for the feedback signal f according to transmissioni-1With last reception plaintext m 'i-1, generation connects
Receipts are augmented sequence F 'i；
Receiving antenna array is used to be augmented sequence F ' according to receptioni, the reception of directional beam is completed, reception is obtained and is augmented letter
Number sequence ri；
Demodulator is augmented for being augmented sequence F ' according to receptioni, complete reception and be augmented signal sequence riDemodulation, connect
Receive constellation point sequence ct 'i；
Be augmented de-mapping device for complete reception constellation point sequence ct 'iDemapping, obtain receive code word c 'i；
Channel decoder is used to be augmented sequence F ' according to receptioni, to reception code word c 'iIt is decoded, obtains receiving information ratio
Special vector k 'iWith reception plaintext sequence m 'i, wherein receiving plaintext sequence m 'iThe output of receiver is augmented as the dynamic；
Integrity checker is used for by existing completeness check bit generation algorithm, to this received plaintext sequence
m′iCalculate generate completeness check bit, according to receive information bit vector k 'iIn completeness check bit comparison result,
Generate feedback signal fi∈ { 0,1 } notifies transmitting terminal by disclosing limited feedback channel.
It is proposed by the present invention based on the Jam-resistant Secure Communications method for being augmented coded modulation, which is characterized in that in transmitting terminal,
Dynamic is augmented whether transmitter is successfully transmitted according to the feedback and judge last time information block of receiving end, and based on last success
The plaintext sequence of transmission, which generates to send, is augmented sequence, is then augmented sequence using transmission and carries out being augmented coded modulation；In receiving end,
Dynamic is augmented receiver and is augmented sequence according to the newest plaintext sequence generation reception being once properly received, and is then augmented using reception
Sequence carries out being augmented demodulation coding, obtains corresponding reception in plain text, and carry out integrity check in plain text to receiving, result is fed back
To transmitting terminal.This method specifically includes the following steps:
1) in transmitting terminal, to i-th of transmission plaintext miGenerate r bit long integrity check sequence and be attached to send it is bright
Wen Hou obtains sending information bit vector ki；Wherein, miLength be m bit；kiLength be k bit, k=m+r；I=1,
2 ..., N, r, m, N are positive integer；
2) in transmitting terminal, it is augmented sequence generator feedback signal f based on the receivedi-1With last transmission plaintext mi-1,
It generates to send and is augmented sequence Fi；
2.1) it for first time transmission process, is augmented sequence generator generation transmission and is augmented sequence Fi=F0, F0Initially to expand
Sequence is tieed up, length is P bit, P=N1+N2+N3+N4, N1,N2,N3,N4Respectively represent be augmented time domain in sequence, frequency domain, airspace and
Code domain is augmented the length of sequence, N1,N2,N3,N4It is positive integer；For next transmission process, feedback is received when the last time
Signal fi-1When equal to 0, transmission is augmented sequence and remains unchanged, Fi=Fi-1；As the feedback signal f that the last time receivesi-1When equal to 1,
Fi=h (mi-1), length is P bit, and h () is common hash function；
2.2) by FiAccording to order from left to right, it is decomposed into the vector comprising 4 row vectorsIts
InSequence, length N are augmented for time domain1Bit；Sequence, length N are augmented for frequency domain2Bit；Sequence is augmented for airspace
Column, length N3Bit；Sequence, length N are augmented for code domain4Bit；
3) in transmitting terminal, channel encoder is to transmission information bit vector kiChannel coding is carried out, obtains sending code word ci,
Length is n-bit, and n is positive integer；
3.1) sequence is augmented using code domainTo basic matrix HBIt is expanded, obtains the sparse random matrix H of transmitting terminali；Its
Middle HBSize is mB×nB, HiSize is mBT×nBT, T are the ring shift right unit displacement square matrix Q for expansionTDimension；
3.1.1 code domain) is augmented sequenceIt is divided into the vector comprising J numberIts
InBe length be log2The signless integer of T bit；
3.1.2) for basic matrix HBIn " 0 " element, be broadened into size be T × T null matrix 0T×T；For base
Matrix HBIn " 1 " element, be broadened into size be T × T square matrix QT(tj)；Wherein j is " 1 " element according to from left to right,
Number from top to bottom, j=1,2 ..., J；tjFor the corresponding bias factor of j-th of square matrix,Finally obtain transmitting terminal
Sparse random matrix Hi；
3.2) by HiIt is divided into two submatrixs, i.e. Hi=[A, B], wherein the size of A is mBT×(nB-mB)T；B's is big
Small is mBT×mBT, and B-1In the presence of；Then it calculates and sends code word ci:
ci=ki·(B-1·A)T (1)
4) it in transmitting terminal, is augmented mapper and completes to send code word ciMapping on frequency domain, time domain and airspace, is sent
Orthogonal symbols sequence xi；Fig. 5 gives distribution of the orthogonal symbols on frequency domain, time domain and airspace；In Fig. 5, different texture
Square represents different orthogonal symbols, and plane where square represents the airspace where orthogonal symbols；In some plane,
The abscissa of square represents the time domain where orthogonal symbols, and the ordinate of square represents the frequency domain where orthogonal symbols；
4.1) for sending code word ci, according to BPSK constellation point rule, obtain sending constellation point sequence cti=
(cti,1,cti,2,...cti,t...,cti,n), wherein positive integer t=1,2 ..., n；
4.2) sequence is augmented according to frequency domainIt is each constellation point ct from orthogonal carrier frequencies seti,tSelect carrier wave
Frequency is completed to send code word ciFrequency domain mapping；
4.3) sequence is augmented according to time domainIt is each constellation point ct from orthogonal sending time slots seti,tSelection is sent
Time slot is completed to send code word ciWhen domain mapping；
4.4) sequence is augmented according to airspaceIt is each constellation point ct from orthogonal directed beam seti,tSelection orientation
Wave beam is completed to send code word ciAirspace mapping；
5) in transmitting terminal, modulator is augmented to transmission orthogonal symbols sequence xiIt carries out being augmented modulation, obtains transmission and be augmented letter
Number sequence si；
6) in transmitting terminal, transmission antenna array utilizes directional beam, transmission is augmented signal sequence siIn fl transmission master
It is transmitted on channel；
7) in receiving end, sequence generator is augmented according to the feedback signal f of transmissioni-1With last reception plaintext m 'i-1,
It generates to receive and is augmented sequence F 'i；
7.1) for first time transmission process, reception is augmented sequence F 'i=F0；For next transmission process, when upper one
Secondary transmission feedback signal fi-1When equal to 0, reception is augmented sequence and remains unchanged, F 'i=F 'i-1；When the feedback letter that the last time sends
Number fi-1When equal to 1, F 'i=h (mi-1)=(f 'i,0,f′i,1,...,f′i,P-1)；
7.2) by F 'iAccording to order from left to right, it is decomposed into the vector comprising 4 row vectorsWhereinSequence, length N are augmented to receive time domain1Bit；It is augmented sequence to receive frequency domain,
Length is N2Bit；Sequence, length N are augmented to receive airspace3Bit；Sequence, length N are augmented for receiving code field4
Bit；
8) in receiving end, receiving antenna array is augmented sequence by receiving airspaceIt determines directional beam direction, carries out wave
Beam receives, and obtains reception and is augmented signal sequence ri=(ri,0,ri,1,...ri,j...,ri,n-1)；Then:
ri=γ × si+ni (2)
Wherein, γ is channel fading coefficient, the distribution of amplitude of fading a, γ obedience and the value of a and specifically uses
Channel model is related, niFor white Gaussian noise, bilateral power spectral density is
9) in receiving end, demodulator is augmented according to frequency domain is received and is augmented sequenceIt determines the carrier frequency for sending signal, leads to
It crosses reception time domain and is augmented sequenceIt determines the time slot for sending signal, then carries out signal detection, obtain receiving constellation point sequence
ct′i=(ct 'i,0,ct′i,1,...ct′i,t...,ct′i,N-1)；
9.1) for the detection algorithm that is concerned with, it is as follows to obtain posterior probability:
9.2) for noncoherent detection algorithm, it is as follows to obtain posterior probability:
Wherein, EsFor orthogonal symbol energy, I0() is 0 rank first kind modified Bessel function, is defined as:
9.3) calculated posterior probability obtains receiving constellation point sequence ct 'i=(ct 'i,0,ct′i,1,
...ct′i,t...,ct′i,N-1)；
10) in receiving end, de-mapping device is augmented according to BPSK constellation point demapping rule, according to reception constellation point sequence
ct′i=(ct 'i,0,ct′i,1,...ct′i,t...,ct′i,N-1), it obtains receiving code word c 'i；
11) in receiving end, channel decoder is to reception code word c 'iIt is decoded, obtains receiving information bit vector k 'iWith
Receive plaintext sequence m 'i, wherein receiving plaintext sequence m 'iThe output of receiver is augmented as the dynamic；
11.1) sequence is augmented using receiving code fieldCarry out basic matrix HBExpansion, obtain the sparse random matrix in receiving end
H′i；
11.2) by existing degree of confidence propagation decoding algorithm, H ' is utilizediIt completes to receive code word c 'iDecoding, connect
Collect mail breath bit vectors k 'i, k 'iIn preceding l bit be receive plaintext m 'i；
12) in receiving end, integrity checker is to reception plaintext m 'iRecalculate the integrity check for generating r bit long
Sequence, if with k 'iIn integrity check sequence it is identical, then generate feedback signal fi=1, otherwise generate feedback signal fi=0,
Transmitting terminal is notified by disclosing limited feedback channel.
The principle securely and reliably transmitted in the present invention is as follows:
Transmitting terminal is used for transmission plaintext sequence miBe augmented coded modulation is augmented sequence according to last transmission
Plaintext mi-1It generates；Receiving end is used to complete the reception plaintext for being augmented sequence and obtaining according to the last time that signal receives demodulation coding
m′i-1It generates；Eavesdropping end is used to complete the eavesdropping plaintext m " for being augmented sequence and obtaining according to the last time that signal receives demodulation codingi-1
It generates；Consider the occurrence of following: legitimate receiver receives demodulation coding success and listener-in receives demodulation coding failure, i.e.,
mi-1=m 'i-1≠m″i-1.In next transmission process, listener-in cannot obtain correctly receiving demodulation for being augmented signal
Decoding is augmented sequence；Simultaneously because the stochastic behaviour of information source, each sends plaintext miCorrespondence is uniquely augmented sequence, because
This listener-in, which is also difficult to crack by way of statistical attack, is augmented sequence, or is obtained in advance by means such as EP-3 electronic reconnaissance plane EP-3
It is augmented the dynamic rule of sequence, also can not just carry out the demodulation coding for being augmented signal, or interference signal is carried out identical
Be augmented modulation, to ensure that the safety and reliability of transmission.
Claims (3)
1. a kind of based on the Jam-resistant Secure Communications system for being augmented coded modulation, which includes: to be arranged in transmitting terminal physical layer
Dynamic be augmented transmitter, the dynamic that receiving end physical layer is arranged in is augmented receiver, and transmitting terminal and receiving end pass through main channel
It is communicated, receiving end is fed back by disclosing limited feedback channel；It is characterized in that, the dynamic is augmented transmitter, by
Integrity checker is augmented sequence generator, and channel encoder is augmented mapper, is augmented modulator and transmission antenna array structure
At；Wherein:
Integrity checker is used for the plaintext sequence m by existing check bit generating algorithm, send to thisiIt calculates and generates
Completeness check bit and be attached to send plaintext sequence after, obtain send information bit vector ki；
Sequence generator is augmented for feedback signal f based on the receivedi-1With last transmission plaintext mi-1, generate transmission and be augmented
Sequence Fi；
Channel encoder is used to be augmented sequence F according to transmissioni, to transmission information bit vector kiIt is encoded, obtains sending code word
ci；
Mapper is augmented for being augmented sequence F according to transmissioni, code word c will be sentiIt is mapped as orthogonal symbols sequence xi；
Modulator is augmented for completing orthogonal symbols sequence xiModulation, obtain send be augmented signal sequence si；
Transmission antenna array will be for that will be augmented signal sequence siIt is sent by directional beam, is augmented transmitting as the dynamic
The output of machine.
2. the system as claimed in claim 1, which is characterized in that the dynamic is augmented receiver, by being augmented sequence generator, connects
Aerial array is received, demodulator is augmented, is augmented de-mapping device, integrity checker and channel decoder are constituted；Wherein:
Sequence generator is augmented for the feedback signal f according to transmissioni-1With last reception plaintext m 'i-1, generate to receive and expand
Tie up sequence F 'i；
Receiving antenna array is used to be augmented sequence F ' according to receptioni, the reception of directional beam is completed, reception is obtained and is augmented signal sequence
Arrange ri；
Demodulator is augmented for being augmented sequence F ' according to receptioni, complete reception and be augmented signal sequence riDemodulation, obtain receive star
Seat point sequence ct 'i；
Be augmented de-mapping device for complete reception constellation point sequence ct 'iDemapping, obtain receive code word c 'i；
Channel decoder is used to be augmented sequence F ' according to receptioni, to reception code word c 'iDecoded, obtain receive information bit to
Measure k 'iWith reception plaintext sequence m 'i, wherein receiving plaintext sequence m 'iThe output of receiver is augmented as the dynamic；
Integrity checker is used for by existing completeness check bit generation algorithm, to this received plaintext sequence m 'iMeter
Calculate generate completeness check bit, according to receive information bit vector k 'iIn completeness check bit comparison result, generate
Feedback signal fi∈ { 0,1 } notifies transmitting terminal by disclosing limited feedback channel.
3. a kind of Jam-resistant Secure Communications method based on system as described in claim 1 is dynamically augmented transmitter in transmitting terminal
Whether it is successfully transmitted according to the feedback and judge last time information block of receiving end, and based on the last plaintext sequence being successfully transmitted
It generates to send and is augmented sequence, be then augmented sequence using transmission and carry out being augmented coded modulation；In receiving end, it is dynamically augmented receiver
It generates to receive according to the newest plaintext sequence being once properly received and is augmented sequence, be then augmented sequence using reception and carry out being augmented solution
Decoding is adjusted, corresponding reception is obtained in plain text, and carry out integrity check in plain text to receiving, result is fed back into transmitting terminal；It is special
Sign is, this method specifically includes the following steps:
1) in transmitting terminal, to i-th of transmission plaintext miAfter generating the integrity check sequence of r bit long and being attached to transmission plaintext,
It obtains sending information bit vector ki；Wherein, miLength be m bit；kiLength be k bit, k=m+r；I=1,2 ...,
N, r, m, N are positive integer；
2) in transmitting terminal, it is augmented sequence generator feedback signal f based on the receivedi-1With last transmission plaintext mi-1, generate
Transmission is augmented sequence Fi；
2.1) it for first time transmission process, is augmented sequence generator generation transmission and is augmented sequence Fi=F0, F0To be initially augmented sequence
Column, length are P bit, P=N1+N2+N3+N4, N1,N2,N3,N4It respectively represents and is augmented time domain in sequence, frequency domain, airspace and code domain
It is augmented the length of sequence, N1,N2,N3,N4It is positive integer；For next transmission process, feedback signal is received when the last time
fi-1When equal to 0, transmission is augmented sequence and remains unchanged, Fi=Fi-1；As the feedback signal f that the last time receivesi-1When equal to 1, Fi=h
(mi-1), length is P bit, and h () is common hash function；
2.2) by FiAccording to order from left to right, it is decomposed into the vector comprising 4 row vectorsWherein
Sequence, length N are augmented for time domain1Bit；Sequence, length N are augmented for frequency domain2Bit；It is augmented sequence for airspace, it is long
Degree is N3Bit；Sequence, length N are augmented for code domain4Bit；
3) in transmitting terminal, channel encoder is to transmission information bit vector kiChannel coding is carried out, obtains sending code word ci, length
For n-bit, n is positive integer；
3.1) sequence is augmented using code domainTo basic matrix HBIt is expanded, obtains the sparse random matrix H of transmitting terminali；Wherein HBGreatly
Small is mB×nB, HiSize is mBT×nBT, T are the ring shift right unit displacement square matrix Q for expansionTDimension；
3.1.1 code domain) is augmented sequenceIt is divided into the vector comprising J numberWhereinBe length be log2The signless integer of T bit；
3.1.2) for basic matrix HBIn " 0 " element, be broadened into size be T × T null matrix 0T×T；For basic matrix HB
In " 1 " element, be broadened into size be T × T square matrix QT(tj)；Wherein j is " 1 " element according to from left to right, on to
Under number, j=1,2 ..., J；tjFor the corresponding bias factor of j-th of square matrix,Finally obtain transmitting terminal it is sparse with
Machine matrix Hi；
3.2) by HiIt is divided into two submatrixs, i.e. Hi=[A, B], wherein the size of A is mBT×(nB-mB)T；The size of B is
mBT×mBT, and B-1In the presence of；Then it calculates and sends code word ci:
ci=ki·(B-1·A)T (1)
4) it in transmitting terminal, is augmented mapper and completes to send code word ciMapping on frequency domain, time domain and airspace obtains sending orthogonal
Symbol sebolic addressing xi；
4.1) for sending code word ci, according to BPSK constellation point rule, obtain sending constellation point sequence cti=(cti,1,
cti,2,...cti,t...,cti,n), wherein positive integer t=1,2 ..., n；
4.2) sequence is augmented according to frequency domainIt is each constellation point ct from orthogonal carrier frequencies seti,tCarrier frequency is selected,
It completes to send code word ciFrequency domain mapping；
4.3) sequence is augmented according to time domainIt is each constellation point ct from orthogonal sending time slots seti,tSelect sending time slots,
It completes to send code word ciWhen domain mapping；
4.4) sequence is augmented according to airspaceIt is each constellation point ct from orthogonal directed beam seti,tDirectional beam is selected,
It completes to send code word ciAirspace mapping；
5) in transmitting terminal, modulator is augmented to transmission orthogonal symbols sequence xiIt carries out being augmented modulation, obtains transmission and be augmented signal sequence
si；
6) in transmitting terminal, transmission antenna array utilizes directional beam, transmission is augmented signal sequence siIn fl transmission main channel
It is transmitted；
7) in receiving end, sequence generator is augmented according to the feedback signal f of transmissioni-1With last reception plaintext m 'i-1, generate
Reception is augmented sequence F 'i；
7.1) for first time transmission process, reception is augmented sequence F 'i=F0；For next transmission process, sent out when the last time
Send feedback signal fi-1When equal to 0, reception is augmented sequence and remains unchanged, F 'i=F 'i-1；As the feedback signal f that the last time sendsi-1
When equal to 1, F 'i=h (mi-1)=(f 'i,0,f′i,1,...,f′i,P-1)；
7.2) by F 'iAccording to order from left to right, it is decomposed into the vector comprising 4 row vectorsIts
InSequence, length N are augmented to receive time domain1Bit；Sequence, length N are augmented to receive frequency domain2Bit；For
It receives airspace and is augmented sequence, length N3Bit；Sequence, length N are augmented for receiving code field4Bit；
8) in receiving end, receiving antenna array is augmented sequence by receiving airspaceIt determines directional beam direction, carries out wave beam and connect
It receives, obtains reception and be augmented signal sequence ri=(ri,0,ri,1,...,ri,N-1)；Then:
ri=γ × si+ni (2)
Wherein, γ is channel fading coefficient, the amplitude of fading a, niFor white Gaussian noise, bilateral power spectral density is
9) in receiving end, demodulator is augmented according to frequency domain is received and is augmented sequenceThe carrier frequency for sending signal is determined, by connecing
Time receiving domain is augmented sequenceIt determines the time slot for sending signal, then carries out signal detection, obtain receiving constellation point sequence
9.1) for the detection algorithm that is concerned with, it is as follows to obtain posterior probability:
9.2) for noncoherent detection algorithm, it is as follows to obtain posterior probability:
Wherein, EsFor orthogonal symbol energy, I0() is 0 rank first kind modified Bessel function, is defined as:
9.3) calculated posterior probability obtains receiving constellation point sequence ct 'i=(ct 'i,0,ct′i,1,...ct
′i,t...,ct′i,N-1)；
10) in receiving end, de-mapping device is augmented according to BPSK constellation point demapping rule, according to reception constellation point sequence ct 'i=
(ct′i,0,ct′i,1,...ct′i,t...,ct′i,N-1), it obtains receiving code word c 'i；
11) in receiving end, channel decoder is to reception code word c 'iIt is decoded, obtains receiving information bit vector k 'iWith reception
Plaintext sequence m 'i, wherein receiving plaintext sequence m 'iThe output of receiver is augmented as the dynamic；
11.1) sequence is augmented using receiving code fieldCarry out basic matrix HBExpansion, obtain the sparse random matrix H ' in receiving endi；
11.2) by existing degree of confidence propagation decoding algorithm, H ' is utilizediIt completes to receive code word c 'iDecoding, obtain receive letter
Cease bit vectors k 'i, k 'iIn preceding l bit be receive plaintext m 'i；
12) in receiving end, integrity checker is to reception plaintext m 'iThe integrity check sequence for generating r bit long is recalculated,
If with k 'iIn integrity check sequence it is identical, then generate feedback signal fi=1, otherwise generate feedback signal fi=0, pass through public affairs
It is provided with limit feedback channel notice transmitting terminal.
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