CN105049103B - Multi-service space overlapping physical layer secret communication method based on weighted score Fourier transformation - Google Patents
Multi-service space overlapping physical layer secret communication method based on weighted score Fourier transformation Download PDFInfo
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- CN105049103B CN105049103B CN201510319837.7A CN201510319837A CN105049103B CN 105049103 B CN105049103 B CN 105049103B CN 201510319837 A CN201510319837 A CN 201510319837A CN 105049103 B CN105049103 B CN 105049103B
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/08—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
- H04B7/0837—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station using pre-detection combining
- H04B7/0842—Weighted combining
- H04B7/0848—Joint weighting
- H04B7/0851—Joint weighting using training sequences or error signal
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/08—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
- H04B7/0837—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station using pre-detection combining
- H04B7/0842—Weighted combining
- H04B7/0848—Joint weighting
- H04B7/0857—Joint weighting using maximum ratio combining techniques, e.g. signal-to- interference ratio [SIR], received signal strenght indication [RSS]
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
- H04L27/2626—Arrangements specific to the transmitter only
- H04L27/2627—Modulators
- H04L27/2628—Inverse Fourier transform modulators, e.g. inverse fast Fourier transform [IFFT] or inverse discrete Fourier transform [IDFT] modulators
Abstract
Multi-service space overlapping physical layer secret communication method based on weighted score Fourier transformation, is related to secret communication field, and in particular to the multi-service space overlapping physical layer private communication technology based on weighted score Fourier transformation.The present invention is the problem of implementation complexity of the information encryption based on key cryptosystem is high in order to solve protective capability deficiency of the existing signal security technology to information.This method makes full use of the spatial domain of wireless transmission link and the physical transfer characteristic of time domain to be pre-processed in transmitting terminal to signal; so as to fulfill the protection to signal of communication; in addition the signal characteristic for being combined weighted score Fourier transform pairs signal of communication is changed so as to deteriorate to non-making choice property of cooperation receiver snr of received signal, so as to further realize the safe transmission performance of the communication information.The present invention is suitable for during secret communication.
Description
Technical field
The present invention relates to secret communication field, and in particular to the multi-service space overlapping based on weighted score Fourier transformation
Physical layer private communication technology.
Background technology
In current communication society, as wireless mobile communications industrial technology innovation and surprising portfolio increase, number
Word information is increasingly becoming the main carriers of information interchange between people.It is many traditional based on paper, it is often necessary to sign
The important documents affixed one's seal, bank note, contract, check, identity document, certificate etc., change or increase as numeral electricity successively
The form of sub- media is propagated on network, and with this electronic, the digitized variation tendency of social life, information is being propagated
During propagation safety and secrecy seem more and more important.The opening propagated yet with electromagnetic signal, in transmitting
Any receiver of machine signal cover can be without hindrance the transmitting signal for receiving and processing transmitter.In communication environment
The presence of a large amount of non-purpose receivers undoubtedly causes information security to receive great threat.Therefore wireless communication system is giving people
While class life is brought convenience, very big security risk is also brought：Sensitive information may easily be stolen, distort, is non-
Method duplication and propagation etc..
It is the most ripe in traditional signal security technology, be most widely used be exactly direct expansion, frequency hopping, jump when and chaos
The modes such as spread spectrum.Wherein the main starting point of direct expansion and chaos spread spectrum is all that the transmission power of signal is placed on broader frequency band
On, reduce the power spectral density of signal so that signal can be submerged in noise, achieve the purpose that anti-intercepting and capturing；During jump and frequency hopping
It is then the time slot or frequency band taken by certain algorithm flexible allocation signal, when non-cooperation receiver cannot know that signal accounts for
When with time slot or frequency band rule, intercept and capture and difficulty occurs.But the intercepting and capturing hand of direct sequence spread spectrum skill is directed in recent years
Section has been achieved for larger raising, these traditional secure fashions far can not meet actual demand.And added based on key
The information encryption of the system such as close then ensures safety often by the encryption rule of high computation complexity, certainly will consume a large amount of
Computing resource, increase the power consumption and complexity of receiving terminal.
The content of the invention
The present invention is in order to solve protective capability deficiency of the existing signal security technology to information, based on key cryptosystem
Information encryption implementation complexity it is high the problem of, so as to provide a kind of multi-service based on weighted score Fourier transformation
Space overlapping physical layer secret communication method.
Multi-service space overlapping physical layer secret communication method based on weighted score Fourier transformation,
This method is applied to the scene more with the transmitter of transmitting antenna and with N number of single antenna cooperation receiver
Under, N is positive integer；The geographical distribution distance of each two cooperation receiver is more than preset value, and transmitter can be ensured to each
Receiver is identified in spatial domain, and each two cooperation receiver can be realized by sending training sequence to transmitter
Its channel circumstance is fed back to transmitter；
For each two cooperation receiver, No.1 cooperation receiver and No. two cooperation receivers are defined as；
It is respectively D that if transmitter, which is sent to the information flow of No.1 cooperation receiver and No. two cooperation receivers,AAnd DB；Then send out
Penetrating the baseband signal S that machine transmitting is sent to channel through mutiple antennas is：
Wherein：pi(k) and qi(k) represent in time slot k transmitter i-th with antenna used by weighting coefficient；Fα
[] and Fβ[] represents weighted score Fourier transformation operation；
No.1 cooperation receiver and No. two cooperation receivers launch the training data as channel circumstance to transmitter respectively
HA(k) and HB(k)；
Then, No.1 cooperation receiver and the signal form of No. two received distortion by channel effect of cooperation receiver
For：
yA(k)=(HA(k))*(p)(k)Fα[DA](k)+q(k)Fβ[DB](k))+n(k)
yB(k)=(HB(k))*(p(k)Fα[DA](k)+q(k)Fβ[DB](k))+n(k)
In formula：N (k) represents that cooperation receiver receives received additive white Gaussian noise signal respectively；HARepresent one
Channel matrix number between cooperation receiver and transmitter；HBRepresent the channel square between No. two cooperation receivers and transmitter
Battle array；
After training sequence of the transmitter according to transmitted by cooperation receiver assesses channel, carried out in advance to sending signal
Each antenna gain matrix p (n) of coded treatment, i.e. transmitter and q (n) meet：
Then No.1 legitimate receiver and the signal received by No. two legitimate receivers are：
yA(k)=(HA(k))*p(k)Fα[DA](k)+n(k)
yB(k)=(HB(k))*q(k)Fβ[DB](k)+n(k)
Two cooperation receivers are docked after the collection of letters number is weighted Fractional Inverse Fourier Transform processing and exported respectively, realize base
In the multi-service space overlapping physical layer secret communication of weighted score Fourier transformation.
Two cooperation receivers dock the signal that the collection of letters number is weighted after Fractional Inverse Fourier Transform processing respectively：
rA(k)=F-α[yA](k)
=| HA(k)|F-α[Fα[DA]](k)+N(k)
=| HA(k)|F0[DA](k)+N(k)
rB(k)=F(-β)[yB](k)
=| HB(k)|F(-β)[Fβ[DB]](k)+N(k)
=| HB(k)|F0[DB](k)+N(k)
In formula：NkFor results of the n (k) after α rank weighted scores Fourier is handled；EkIt is e (k) through in β rank weighted score Fu
Result after leaf processing.
The value of p (n) is：HA(k)/||HA(k)||；
The value of q (n) is：HB(k)/||HB(k)||。
This method make full use of wireless transmission link spatial domain and time domain physical transfer characteristic in transmitting terminal to signal
Pre-processed, so as to fulfill the protection to signal of communication, be combined weighted score Fourier transform pairs signal of communication in addition
Signal characteristic be changed so as to deteriorate to non-making choice property of cooperation receiver snr of received signal so that further real
The safe transmission performance of the existing communication information.Implementation complexity is greatly lowered.
Brief description of the drawings
Fig. 1 is the simplification workflow schematic diagram of the present invention；
Fig. 2 is the present invention in the application scenarios schematic diagram that cooperation receiver is two；
Fig. 3 is the data processing principle schematic diagram of transmitter；
Fig. 4 is D in embodiment oneAWith PB/PATransformation relation emulation schematic diagram；
Fig. 5 is D in embodiment oneASchematic diagram is emulated with the transformation relation of Δ α；
Fig. 6 is the emulation schematic diagram of influence of the angle of the bit error rate in embodiment one to system performance；
Fig. 7 is under the special scene described in embodiment one, the influence of the angle of the bit error rate to system performance
Emulation schematic diagram；
Embodiment
Embodiment one, with reference to Fig. 1 to 3 illustrate present embodiment, based on weighted score Fourier transformation
Multi-service space overlapping physical layer secret communication method,
As shown in Fig. 2, the application scenarios of the program are equipped with more with the transmitter of transmitting antenna and two lists by one
Antenna cooperation receiving mechanism into.The location distributions of two cooperation receivers it is apart from each other with ensure transmitter can to both
Spatial domain is identified, and two cooperation receivers can feed back its letter by sending training sequence to transmitter to transmitter
Road environment.
The data process diagram of wherein transmitter is as shown in Figure 3：
Assuming that transmitter is sent to the information flow of cooperation receiver 1 and cooperation receiver 2 respectively by DAAnd DBRepresent, transmitting
The baseband signal that machine transmitting is sent to channel through mutiple antennas is expressed as s, can specifically be expressed as：
Wherein pi(k) and qi(k) weighting coefficient used by transmitter i-th is with antenna in time slot k is represented.
Fα[] and Fβ[] represents weighted score Fourier transformation operation.
The definition of weighted score Fourier transformation can be specifically expressed as：
For any one sequence of complex numbers X0(n) (n=0,1 ..., N-1), it is assumed that X1(n), X2(n) and X3(n) it is X0(n)
1-3 DFT transform result.Energy normalized DFT form of Definition is herein：
Then weighted score Fourier transformation can be stated by following formula：
Fα[X0] (n)=ω0(α)X0(n)+ω1(α)X1(n)+ω2(α)X2(n)+ω3(α)X3(n） (3)
Wherein weighting coefficient：ωp(α) (p=0,1,2,3) is：
And then hypothesis is H in the channel condition of the feedback of 1 cooperation receiver 2 of time slot k cooperations receiverA(k), HB(k), it is non-
Then legitimate receiver 1 and legitimate receiver 2 are received by channel effect for G (k) for channel condition matrix residing for cooperation receiver
Producing the signal form to distort is：
yA(k)=(HA(k))*(p(k)Fα[DA](k)+q(k)Fβ[DB](k))+n(k)
yB(k)=(HB(k))*(p(k)Fα[DA](k)+q(k)Fβ[DB](k))+n(k) (5)
Non- cooperation receiver receives signal：
Z (k)=(G (k))*(p(k)Fα[DA](k)+q(k)Fβ[DB](k))+e(k) (6)
N (k) and e (k) represents that cooperation receiver receives received additive Gaussian with non-cooperation receiver respectively in formula
White noise signal.HARepresent the channel matrix between No.1 cooperation receiver and transmitter；HBRepresent No. two cooperation receivers and hair
Penetrate the channel matrix between machine；G represents the channel matrix between non-cooperation receiver and transmitter；
In the present invention, to sending after training sequence of the transmitter according to transmitted by cooperation receiver assesses channel
Signal carries out precoding processing, i.e. each antenna gain matrix p (n) of transmitter should meet with q (n)：
The typical value of p (n) and q (n) may be selected to be HA(k)/||HA(k)||and HB(k)/||HB(k)||.In addition by
With cooperation receiver 2 for transmitter it is differentiable in spatial domain in cooperation receiver 1.Then legitimate receiver 1 and conjunction
Signal can be reduced to received by method receiver 2：
yA(k)=(HA(k))*p(k)Fα[DA](k)+n(k)
yB(k)=(HB(k))*q(k)Fβ[DB](k)+n(k) (8)
To ensure to receive the undistorted recovery of signal, receiver should be inverse to receiving the corresponding weighted score Fourier of signal progress
Conversion process.To verify the reliability of the present invention program, it is assumed herein that non-cooperation receiver equally uses weighted score Fourier
Inverse transformation handles intercepted signal.
The processing of signal 2 is received according to the additive property cooperation receiver 1 of weighted score Fourier transformation and cooperation receiver
As a result can be expressed as respectively：
rA(k)=F-α[yA](k)
=| HA(k)|F-α[Fα[DA]](k)+N(k)
=| HA(k)|F0[DA](k)+N(k) (9)
rB(k)=F(-β)[yB](k)
=| HB(k)|F(-β)[Fβ[DB]](k)+N(k)
=| HB(k)|F0[DB](k)+N(k) (10)
The handling result of non-cooperation receiver is：
rE(k)=F(-δ)[z](k)
=(G (k))*p(k)F(-δ)[Fα[DA]](k)+(G(k))*q(k)F(-δ)[Fβ[DB]](k)+E(k)
=(G (k))*p(k)F(Δα)[DA](k)+(G(k))*q(k)F(Δβ)[DB](k)+E(k) (11)
Wherein：Δ α=α-δ, Δ β=β-δ represent weighting coefficient δ and correct coefficient used by non-cooperation receiver respectively
The difference of α and β.
NkAnd EkResults of the respectively n (k) and e (k) after α and β rank weighted scores Fourier processing.
According to the related definition of security information capacity, in scene of the present invention, sending information D in information theoryA(or DB) peace
Full capacity can be expressed as information interaction amount between transmitter and cooperation receiver 1 (or cooperation receiver 2) and transmitter with it is non-
The difference of information interaction amount between cooperation receiver.I.e.：
Wherein []+=max (, 0).
In the present invention, according to formula (9), (10) and (11) as can be seen that for cooperation receiver, cooperation receives
Machine 1 is separated with cooperation receiver 2 in spatial domain, and both of which is collected mail using the docking of correct weighting parameters and number is weighted point
Number Fourier inversion processing, the whole energy for sending signal all can be used to carry the communication information, and be received for non-cooperation
For machine, transmitter is sent to the mutual aliasing of signal of communication of legitimate receiver 1 and legitimate receiver 2, is mutually interference.In addition
Signal after weighted fractional fourier transform processing only can realize energy accumulating in the score field of specific exponent number, due to non-conjunction
Weighting parameters used by transmitter transmitting signal can not be known by making receiver, therefore in non-cooperation receiver end, transmitter institute
Existing for the form of the signal energy overwhelming majority energy jamming signal of transmission.
Therefore γ in formula (12)AγBAnd λAλBIt can be expressed as respectively：
Sent below with transmitter to the data D of cooperation receiver 1AExemplified by, to the peace of the secret communication method of the invention
Full property is verified.
From analysis introduction above, transmitter transmitting signal includes DAWith DBTwo kinds of data contents, and DAWith DB's
Purpose receiver is respectively legitimate receiver 1 and legitimate receiver 2.Can using the space of legitimate receiver 1 and legitimate receiver 2
Separation property, after emitted machine precoding processing, is ensureing DBSignal energy meeting while do not impacted to legitimate receiver 1
Non- cooperation receiver is caused to intercept and capture DAWhen equivalent signal-to-noise ratio reduce.Only exist further according to weighted score Fourier transformation signal
Particular weights score field has the characteristic of energy accumulating.Therefore, DASecurity performance and DBTransmission power and non-cooperation receive
Weighting coefficient δ is related used by machine.
Fig. 4 and Fig. 5 gives D in the present invention programAWith PB/PAAnd the transformation relation of Δ α, P hereinAWith PBRespectively send out
Penetrate in machine transmitting signal and include information content DAWith DBPower.Used by the non-cooperation receivers of Δ α=α-δ weighting coefficient δ with
The difference of correct factor alpha.
P in Fig. 4B/PARepresented using dB forms.Abscissa P in figureAAccording to additive white Gaussian noise N (k) in formula (9)
Noise power is normalized.By can be seen that in Fig. 5.With PB/PARatio or Δ α increase, what system can ensure
Security row is increased monotonically to capacity.For the security performance that more intuitively the statement present invention is ensured.
Fig. 6 evaluates system performance with the angle of the bit error rate.P in the figureB/PA=0dB, that is, PA=PB, can by Fig. 6
See the present invention while cooperation receiver normal work is ensured so that non-cooperation receiver protects the error performance of signal of communication
Hold 05 or so, i.e., non-cooperation receiver can not obtain efficient communication content from signal of communication.
In addition Fig. 7 gives a kind of special application scenarios, and under the scene, the channel circumstance of non-cooperation receiver is proper
Ingeniously close or consistent with the channel circumstance of cooperation receiver 1 (such as the reception of non-cooperation receiver antenna and cooperation receiver 1
The nearer situation of antenna distance).At this time, transmitter transmitting signal DBSignal power also fall within transmitter and non-cooperation and receive
The kernel of machine channel matrix, i.e.,：DBSignal power non-cooperation receiver can not be interfered, at this time the present invention designed by
Physical layer secrecy transmission scheme remain to by weighted score Fourier transformation signal in specific exponent number weighted score Fourier
Transform domain energy accumulating, carries out Content of Communication in the flat characteristic of other exponent number weighted score Fourier transform domain Energy distributions
Protection, as shown in fig. 7, as Δ α=0, represents that the weighting parameters that receiver uses are consistent with transmitter parameter, curve correspondence
For the working performance of cooperation receiver 1, when Δ α ≠ 0 shows that the weighting parameters of the use of receiver are different from transmitter parameter, i.e.,
The working performance of non-cooperation receiver is corresponded to, as can be seen from the figure with the increase of Δ α, the acceptance of non-cooperation receiver
Can progressively deteriorate, as Δ α=05, the error performance of non-cooperation receiver deteriorates into 05 or so, show non-cooperation receiver without
Method receives again obtains transmitting information D in signalAAny effective content.The scene highlights weighted score Fourier transformation emphatically
Validity and reliability in wireless communication safety of physical layer field.
Claims (3)
1. the multi-service space overlapping physical layer secret communication method based on weighted score Fourier transformation, it is characterized in that：
This method is applied under the transmitter with more transmitting antennas and the scene with N number of single antenna cooperation receiver, N
For positive integer；The geographical distribution distance of each two cooperation receiver is more than preset value, and transmitter can be ensured to each reception
Machine is identified in spatial domain, and each two cooperation receiver can be realized to hair by sending training sequence to transmitter
The machine of penetrating feeds back its channel circumstance；
For each two cooperation receiver, No.1 cooperation receiver and No. two cooperation receivers are defined as：
It is respectively D that if transmitter, which is sent to the information flow of No.1 cooperation receiver and No. two cooperation receivers,AAnd DB；Then transmitter
Launching the baseband signal S sent through mutiple antennas to channel is：
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Wherein：pi(k) and qi(k) weighting coefficient used by representing for i-th antenna of transmitter in time slot k；Fα[] and
Fβ[] represents weighted score Fourier transformation operation；
No.1 cooperation receiver and No. two cooperation receivers launch the training data H as channel circumstance to transmitter respectivelyA(k)
And HB(k)；
Then, No.1 cooperation receiver and No. two cooperation receivers are received is by the signal form of the distortion of channel effect：
yA(k)=(HA(k))(P(k)Fα[DA](k)+q(k)Fβ[DB](k))+n(k)
yB(k)=(HB(k)(p(k)Fα[DA](k)+q(k)Fβ[DB](k)+n(k)
In formula：N (k) represents that cooperation receiver receives received additive white Gaussian noise signal respectively；HARepresent No.1 cooperation
Channel matrix between receiver and transmitter；HBRepresent the channel matrix between No. two cooperation receivers and transmitter；
After training sequence of the transmitter according to transmitted by cooperation receiver assesses channel, precoding is carried out to sending signal
Processing, i.e. each antenna gain matrix p (n) of transmitter and q (n) meet：
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Then No.1 legitimate receiver and the signal received by No. two legitimate receivers are：
yA(k)=(HA(k))*p(k)Fα[DA](k)+n(k)
yB(k)=(HB(k))*q(k)Fβ[DB](k)+n(k)
Two cooperation receivers are docked after the collection of letters number is weighted Fractional Inverse Fourier Transform processing and exported respectively, are realized and are based on adding
Weigh the multi-service space overlapping physical layer secret communication of fractional fourier transform.
2. the multi-service space overlapping physical layer secret communication according to claim 1 based on weighted score Fourier transformation
Method, it is characterised in that two cooperation receivers dock after the collection of letters number is weighted Fractional Inverse Fourier Transform processing respectively
Signal is：
rA(k)=F-α[yA](k)
=| HA(k)|F-α[Fα[DA]](k)+N(k)
=| HA(k)|F0[DA](k)+N(k)
rB(k)=F(-β)[yB](k)
=| HB(k)|F(-β)[Fβ[DB]](k)+M(k)
=| HB(k)|F(0)[DB](k)+M(k)
In formula：N (k) is results of the n (k) after the processing of α rank weighted scores inverse Fourier transform；M (k) weights for n (k) through β ranks
Result after Fractional Inverse Fourier Transform processing.
3. the multi-service space overlapping physical layer secret communication according to claim 1 based on weighted score Fourier transformation
Method, it is characterised in that：
The value of p (n) is：HA(k)/||HA(k)||；
The value of q (n) is：HB(k)/||HB(k)||。
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510319837.7A CN105049103B (en) | 2015-06-11 | 2015-06-11 | Multi-service space overlapping physical layer secret communication method based on weighted score Fourier transformation |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510319837.7A CN105049103B (en) | 2015-06-11 | 2015-06-11 | Multi-service space overlapping physical layer secret communication method based on weighted score Fourier transformation |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN105049103A CN105049103A (en) | 2015-11-11 |
| CN105049103B true CN105049103B (en) | 2018-04-24 |
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