CN105227508B - Electromagnetic leakage signal restores and Enhancement Method and system - Google Patents
Electromagnetic leakage signal restores and Enhancement Method and system Download PDFInfo
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Abstract
The present invention relates to a kind of electromagnetic leakage signals to restore and Enhancement Method and system.This method comprises: according to the electromagnetic leakage signal model comprising ambient noise and wireless channel noise is established the characteristics of ambient noise and wireless channel noise；The received electromagnetic leakage signal of institute is divided into high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part according to electromagnetic leakage signal model and carries out Adaptive inverse filtering processing respectively；By high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part by respective blind equalizer to obtain respective output signal, merge two output signals in the way of convex combination to obtain electromagnetic leakage signal and restore and enhancing model.Recovery provided in an embodiment of the present invention and Enhancement Method can be good at restoring to make the vision signal received have stronger comprehensibility with increase vision signal, to improve the attacking ability of TEMPEST according to the physical characteristic of electromagnetic leakage signal.
Description
Technical field
Restore and enhance the present invention relates to electromagnetic environment technical field of safety protection more particularly to a kind of electromagnetic leakage signal
Method and system.
Background technique
Electromagnetic leakage includes radiation leakage and leakage.Currently, anti-electromagnetic leakage technology is improved day by day, digital display circuit institute
The leakage electromagnetic wave signal of sending is very faint.When if desired utilizing electromagnetic leakage signal, which can be submerged in
In a large amount of noise.However due in actual environment noise have uncertainty, cause extract with restore electromagnetic leakage signal tool
There is challenge.
Vision signal reprocessing rate is to restrict TEMPEST (Transient Electromagnetic Pulse
Emanation Surveillance Technology, electromagnetic environment security protection) one of key technology, pass through post-processing
System even still can complete cutting for information under conditions of reducing to hardware device requirement under identical hardware condition
It obtains and restores, improve the quality and clarity of image and text.
Since electromagnetic radiation environment is with uncertainty, retrieving algorithm needs are to the received electromagnetic leakage signal of institute with certainly
Adaptability, and traditional filter and amplification method is then difficult to complete.In the prior art, Detection of Weak Signals is mostly needed with restoring method
Certain priori conditions are wanted, do not utilize solution signals revivification.For this purpose, scholars have carried out numerous studies, to improve reception signal
Signal-to-noise ratio.However, only improving the post-processing that signal-to-noise ratio carries out vision signal, the extensive of vision signal can not be completed well
Multiple and enhancing.
Summary of the invention
One of them of the invention be designed to provide a kind of electromagnetic leakage signal restore with enhancing and system, it is existing to solve
Have and only improves the technical issues of signal-to-noise ratio cannot restore very well with enhancing vision signal in technology.
In a first aspect, the embodiment of the invention provides a kind of recovery of electromagnetic leakage signal and Enhancement Methods, comprising:
It include the electromagnetism of ambient noise and wireless channel noise according to foundation the characteristics of ambient noise and wireless channel noise
Leakage signal model；
The received electromagnetic leakage signal of institute is divided into high-frequency electromagnetic leakage signal portion according to the electromagnetic leakage signal model
Point and low frequency electromagnetic leakage signal part and respectively carry out Adaptive inverse filtering processing；
Respective blind equalizer is passed through into high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part
To obtain respective output signal, merge two output signals in the way of convex combination to obtain electromagnetic leakage signal and restore and increase
Strong model.
Optionally, described to establish according to the characteristics of ambient noise and wireless channel noise comprising ambient noise and wireless channel
After the step of electromagnetic leakage signal model of noise, further includes:
The cost function that blind equalizer is formed according to statistical independence parameter, so that the estimation of received electromagnetic leakage signal
The received electromagnetic leakage signal of the output signal of model and institute as close possible to.
Optionally, the cost function that blind equalizer is formed according to statistical independence parameter, so that received electromagnetism is let out
The output signal of the estimation model of leakage signal and the received electromagnetic leakage signal of institute as close possible to the step of after, further includes:
The probability-distribution function and scoring function of high-frequency electromagnetic leakage signal part are obtained according to mixed Gauss model；And
According to the probability-distribution function and scoring function for being uniformly distributed model acquisition low frequency electromagnetic leakage signal part.
Optionally, described that the probability-distribution function of high-frequency electromagnetic leakage signal part is obtained according to mixed Gauss model and is obtained
Divide function；And according to the probability-distribution function and scoring function for being uniformly distributed model acquisition low frequency electromagnetic leakage signal part
After step, further includes:
High-frequency electromagnetic leakage signal part institute is obtained according to the probability-distribution function of high-frequency electromagnetic leakage signal part
The iteration coefficient of corresponding balanced device；And low frequency is obtained according to the probability-distribution function of low frequency electromagnetic leakage signal part
The iteration coefficient of balanced device corresponding to electromagnetic leakage signal part.
Optionally, the electromagnetic leakage signal restores the expression formula with enhancing model are as follows:
In formula,Restore the output valve with enhancing model, f for electromagnetic leakage signalL(x, y) and fH(x, y) difference
For high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part, λ (n) is weighting function when merging, λ (n) value
Range is [0,1], andSgm [x]=[1+e-x]-1For
Sigmoid function,ForPositive maximum value, wL(x, y) and wH(x, y) is respectively high-frequency electromagnetic leakage signal portion
Divide the weight coefficient with blind equalizer corresponding to low frequency electromagnetic leakage signal part.
Second aspect, the embodiment of the invention also provides a kind of electromagnetic leakage signals to restore and enhancing system, comprising:
Electromagnetic leakage signal model building module, for including according to ambient noise and foundation the characteristics of wireless channel noise
The electromagnetic leakage signal model of ambient noise and wireless channel noise；
Adaptive inverse filtering processing module, for being divided the received electromagnetic leakage signal of institute according to electromagnetic leakage signal model
Adaptive inverse filtering processing is carried out for high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part and respectively；
Restore to obtain module with enhancing model, be used for high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal portion
The excessively respective blind equalizer of lease making merges two output signals in the way of convex combination to obtain respective output signal to obtain electricity
Magnetic dispersion signal restores and enhancing model.
It optionally, further include cost function generation module, for forming the generation of blind equalizer according to statistical independence parameter
Valence function, so that the received electromagnetic leakage signal of the output signal of the estimation model of received electromagnetic leakage signal and institute is as far as possible
It is close.
Optionally, further include that probability-distribution function obtains module, let out for obtaining high-frequency electromagnetic according to mixed Gauss model
The probability-distribution function and scoring function of leakage signal part；And low frequency electromagnetic leakage signal portion is obtained according to model is uniformly distributed
The probability-distribution function and scoring function divided.
It optionally, further include that iteration coefficient obtains module, for the probability distribution according to high-frequency electromagnetic leakage signal part
Function obtains the iteration coefficient of balanced device corresponding to high-frequency electromagnetic leakage signal part；And according to low frequency electromagnetic leakage signal
Partial probability-distribution function obtains the iteration coefficient of balanced device corresponding to low frequency electromagnetic leakage signal part.
Compared with prior art, recovery provided in an embodiment of the present invention and Enhancement Method are according to the physics of electromagnetic leakage signal
Characteristic can be good at restoring to make the vision signal received have stronger comprehensibility with increase vision signal, thus
Improve the attacking ability of TEMPEST.
Detailed description of the invention
The features and advantages of the present invention will be more clearly understood by referring to the accompanying drawings, and attached drawing is schematically without that should manage
Solution is carries out any restrictions to the present invention, in the accompanying drawings:
Fig. 1 is that a kind of electromagnetic leakage signal provided in an embodiment of the present invention restores and Enhancement Method flow chart；
Fig. 2 is that a kind of electromagnetic leakage signal provided in an embodiment of the present invention restores and enhancing system principle diagram；
Fig. 3-a~Fig. 3-d is electromagnetic leakage signal post-processing comparative result schematic diagram；
Fig. 4 is the received electromagnetic leakage signal mean square error curve comparison result schematic diagram of many algorithms processing.
Specific embodiment
With reference to the accompanying drawings and examples, specific embodiments of the present invention will be described in further detail.Implement below
Example is not intended to limit the scope of the invention for illustrating the present invention.
The embodiment of the invention provides a kind of recovery of electromagnetic leakage signal and Enhancement Methods, as shown in Figure 1, comprising:
S100, it establishes according to the characteristics of ambient noise and wireless channel noise comprising ambient noise and wireless channel noise
Electromagnetic leakage signal model；
S200, the received electromagnetic leakage signal of institute is divided by high-frequency electromagnetic leakage signal portion according to electromagnetic leakage signal model
Point and low frequency electromagnetic leakage signal part and respectively carry out Adaptive inverse filtering processing；
S300, by high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part by respectively it is blind
Weighing apparatus merges two output signals in the way of convex combination to obtain respective output signal to obtain electromagnetic leakage signal recovery
With enhancing model.
Electromagnetic leakage signal provided in an embodiment of the present invention is restored with the expansion of each step of Enhancement Method specifically below
It is bright.
S100 is introduced first, is established according to the characteristics of ambient noise and wireless channel noise comprising ambient noise and wireless communication
The step of electromagnetic leakage signal model of road noise.
There are a large amount of ambient noise and wireless channel noises in received electromagnetic leakage signal.Wherein ambient noise
Irregular variation is presented in noise caused by electromagnetic radiation source outside including earth atmosphere, the noise, and in spatial distribution
It is also non-uniform；Wireless channel noise can see the noise inside forming apparatus, mainly shot noise, be transported by discrete charge
Random noise caused by dynamic formed electric current, belongs to thermal noise.Therefore received electromagnetic leakage signal can regard as by
The signal that Convolution Noise and white Gaussian noise mix, shown in theoretical model such as formula (1):
F (x, y)=s (x, y) * c (x, y)+n (x, y) (1)
Wherein, s (x, y) is received electromagnetic leakage signal, and c (x, y) is transmission channel, the convolution function of system, * table
Show that carry out convolution algorithm, n (x, y) are white Gaussian noise.
Next, which introduces S200, the received electromagnetic leakage signal of institute is divided into high-frequency electromagnetic according to electromagnetic leakage signal model lets out
Leakage signal part and low frequency electromagnetic leakage signal part simultaneously carry out the step of Adaptive inverse filtering processing respectively.
As shown in Fig. 2, the characteristics of according to institute's received electromagnetic leakage signal, using multi-subband processing mode, i.e., by the electricity
Magnetic dispersion signal high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part.Then high-frequency electromagnetic is leaked respectively and is believed
Number part and low frequency electromagnetic leakage signal part carry out Adaptive inverse filtering processing, as shown in formula (2):
F (x, y)=sL(x,y)*cL(x,y)+sH(x,y)*cH(x,y)+n(x,y) (2)
Wherein, fL(x, y) and fH(x, y) is high-frequency electromagnetic leakage part and the low frequency of received electromagnetic leakage signal respectively
Electromagnetic leakage part, cH(x, y) and cL(x, y) is respectively the transmission letter of high-frequency electromagnetic leakage part and low frequency electromagnetic leakage part
Road, n (x, y) are white Gaussian noise.
It finally introduces S300, pass through high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part
Respective blind equalizer merges two output signals in the way of convex combination to obtain respective output signal to obtain electromagnetic leakage
Signal restores and enhancing model.
Respective blind equalizer w is passed through in high-frequency electromagnetic leakage part and low frequency electromagnetic leakage part respectivelyL(x, y) and wH(x,
Y) output signal after carries out Adaptive inverse filtering processing, and be overlapped reconstruct obtain received electromagnetic leakage signal it is extensive
Multiple and enhancing model, as shown in formula (3):
Wherein, zLAnd zHRespectively high-frequency electromagnetic leakage part and low frequency electromagnetic leak blind equalizer corresponding to part
Output signal,For the output signal for restoring and enhancing model, and to the estimated value of electromagnetic leakage signal, λ (n) is folded
Aggravate the weighting function of structure:
Wherein, sgm [x]=[1+e-x]-1For sigmoid function,ForFor the output for restoring and enhancing model
The positive maximum value of signal, λ (n) value range are [0,1].
For make restore with enhancing model output signal and received electromagnetic leakage signal as close possible to；It is wherein described
As close possible to, refer to the amplitude of output signal and corresponding electromagnetic leakage signal difference be less than preset value.For example, most ideal
Scene be that its output signal is equal with the amplitude of electromagnetic leakage signal for the same signal.It is optional to realize said effect
Ground is used as cost using KL divergence (Kullback-Leibler divergence) in the embodiment of the present invention.Wherein, KL divergence
It is the parameter of statistical independence, indicates the measurement of the asymmetry of the difference of two probability distribution, as shown in formula (5):
Wherein, w (x, y) is the weight coefficient of blind equalizer, pz(z, w) and ps(s) be respectively blind equalizer output signal z,
The probability density function of source signal s.pz(z, w) and ps(s) formula (6) can be used to be calculated.
As can be seen that cost function can indicate probability density function pz(z, w) and ps(s) the Euclidean minimum range of negentropy.
The embodiment of the present invention defines new cost function according to formula (6) are as follows:
E (x, y)=tan (H (z)-g (E [logpz(x,y)])) (7)
In formula, g () is non-linear memoryless function, and form may be expressed as:
G ()=atanh ()
Then new cost function becomes:
J (x, y)=tan (H (z)-g (E [logpz(x,y)])) (8)
The embodiment of the present invention constructs the cost function under negentropy domain, and has chosen tangent function as memoryless non-linear
Function solves the constant amount in tangent function by iterative manner.A and b is respectively constant, can be by formula (9)~(10) iteration more
Newly acquire:
Wherein, J (x, y) is cost function, and expectation is asked in E [] expression.
Therefore, the cost function of neotectonics of the embodiment of the present invention has preferable symmetry, can be improved adaptive inversion filter
The performance of wave.
In the embodiment of the present invention, the received electromagnetic leakage signal of institute is vision signal.The high-frequency video signal of vision signal
Part has respectively represented hopping part and integral energy in vision signal with low-frequency video signal part, thus hopping part with
The distribution of integral energy is there is also difference, and high-frequency video signal part is by a small amount of big coefficient and a large amount of coefficient close to zero
Signal forms, and describes the probability distribution of the high-frequency video signal part in the embodiment of the present invention using mixed Gauss model；
The energy of low-frequency video signal part is then more smooth, describes the low-frequency video using being uniformly distributed model in the embodiment of the present invention
The probability distribution of signal.
Optionally, the probability-distribution function and score letter of high-frequency electromagnetic leakage signal part are obtained according to mixed Gauss model
Number；And according to the probability-distribution function and scoring function for being uniformly distributed model acquisition low frequency electromagnetic leakage signal part.Therefore,
Shown in the probability density function of high-frequency video signal such as formula (11):
Wherein, θHThe set of the probability statistics function distribution parameter of high-frequency video signal part is represented, z is high frequency video letter
The output signal of number balanced device.
The scoring function of high-frequency video signalAs shown in formula (12):
Wherein, zHFor the output signal of high-frequency video signal balanced device, p (zH) it is high-frequency video signal part zHProbability
Distribution function, p'(zH) it is p (zH) derivative, tanh (zH) it is zHHyperbolic tangent function value.
Shown in the probability density function of low-frequency video signal such as formula (13):
The scoring function of low-frequency video signalAs shown in formula (14):
Cost function is obtained according to formula (8) are as follows:
J (y, w)=H (z)-g (E [logpz(x,y)])
=H (y)+log | detw |-g (E [logpz(z)]) (15)
The weight coefficient of blind equalizer is obtained using Natural Gradient Algorithm are as follows:
In formula, η is iteration step length, and g () ' is the derivative of non-linear memoryless function.
Corresponding to high-frequency electromagnetic leakage signal part is obtained according to the probability-distribution function of high-frequency electromagnetic leakage signal part
Balanced device iteration coefficient；And low frequency electromagnetic leakage is obtained according to the probability-distribution function of low frequency electromagnetic leakage signal part
The iteration coefficient of balanced device corresponding to signal section, as shown in formula (17)~(18):
By formula, (17~(18), which substitute into formula (3), can be obtained the recovery and the output signal of enhancing model of electromagnetic leakage signal.
To embody the superiority provided in an embodiment of the present invention restored with Enhancement Method, below with reference to Fig. 3, Fig. 4 and table 1
The effect for being provided for the embodiments of the invention recovery and Enhancement Method is illustrated.
In the embodiment of the present invention, use classics image processing method NAS-RIF algorithm (NAS-RIF algorithm in the prior art
For the recursion filter of nonnegativity and support region constraint) and SISO-NEF algorithm (single-input single-output image in the prior art
Equalization algorithm) with MISO-NEF method provided in an embodiment of the present invention (in the embodiment of the present invention, by being let out to the received electromagnetism of institute
Leakage signal distinguishes high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part, therefore can regard as multichannel difference
Processing method).Fig. 3-a is received electromagnetic leakage signal；Fig. 3-b is using NAS-RIF algorithm to received electricity
Result schematic diagram after magnetic dispersion signal is handled；Fig. 3-c is to be believed using SISO-NEF algorithm received electromagnetic leakage
Result schematic diagram after number being handled；Fig. 3-d is shown using result after MISO-NEF method provided in an embodiment of the present invention processing
It is intended to.
As can be seen from Table 1, use the Y-PSNR of electromagnetic leakage signal received by NAS-RIF algorithm process for
15.23；Use the Y-PSNR of electromagnetic leakage signal received by SISO-NEF algorithm process for 15.74；Using this hair
The Y-PSNR of the received electromagnetic leakage signal of the MISO-NEF method processing that bright embodiment provides is 16.28.
1 Y-PSNR of table
| Method | NAS-RIF | SISO-NEF | MISO-NET |
| PNSR | 15.23 | 15.74 | 16.28 |
As can be seen that recovery provided in an embodiment of the present invention is substantially better than with the obtained processing picture quality of Enhancement Method
Other two methods in the prior art, to illustrate that this method has preferable application effect.
Fig. 4 is the received electromagnetic leakage signal mean square error curve comparison result schematic diagram of many algorithms processing.By
Fig. 4 can be seen that recovery provided in an embodiment of the present invention and the convergence rate of Enhancement Method are faster than other two algorithms, and stable state
Error is small, superior performance.
It is provided in an embodiment of the present invention recovery and Enhancement Method according to received electromagnetic leakage signal include noise situations,
Ambient noise and wireless channel noise are established into electromagnetic leakage signal model；And the characteristics of according to received electromagnetic leakage signal
It is divided into high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part, and the two is laggard by respective blind equalizer
Row superposition reconstruct obtains electromagnetic leakage signal and restores and enhancing model.Compared with prior art, provided in an embodiment of the present invention extensive
Multiple and Enhancement Method can be good at restoring to receive with increase vision signal according to the physical characteristic of electromagnetic leakage signal
Vision signal have stronger comprehensibility, to improve the attacking ability of TEMPEST.
Embodiment two
Second aspect restores superior with Enhancement Method to embody a kind of electromagnetic leakage signal provided in an embodiment of the present invention
Property, restore and enhancing system the embodiment of the invention also provides a kind of electromagnetic leakage signal, comprising:
Electromagnetic leakage signal model building module, for the ambient noise according to included in received electromagnetic leakage signal
Electromagnetic leakage signal model is established with wireless channel noise；
Adaptive inverse filtering processing module, for the received electromagnetic leakage signal of institute to be divided into high-frequency electromagnetic leakage signal portion
Point and low frequency electromagnetic leakage signal part and respectively carry out Adaptive inverse filtering processing；
Restore to obtain module with enhancing model, be used for high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal portion
The output signal of the excessively respective blind equalizer of lease making merges the electromagnetic leakage signal of the received electromagnetic leakage signal to obtain
Restore and enhancing model.
It optionally, further include cost function generation module, for forming the generation of blind equalizer according to statistical independence parameter
Valence function, so that the received electromagnetic leakage signal of the output signal of the estimation model of received electromagnetic leakage signal and institute is as far as possible
It is close.
Optionally, further include that probability-distribution function obtains module, let out for obtaining high-frequency electromagnetic according to mixed Gauss model
The probability-distribution function and scoring function of leakage signal part；And low frequency electromagnetic leakage signal portion is obtained according to model is uniformly distributed
The probability-distribution function and scoring function divided.
It optionally, further include that iteration coefficient obtains module, for the probability distribution according to high-frequency electromagnetic leakage signal part
Function obtains the iteration coefficient of balanced device corresponding to high-frequency electromagnetic leakage signal part；And according to low frequency electromagnetic leakage signal
Partial probability-distribution function obtains the iteration coefficient of balanced device corresponding to low frequency electromagnetic leakage signal part.
Uplink near field communication system provided in an embodiment of the present invention is based on same with uplink near field communication method described above
The goal of the invention of sample solves same technical problem, reaches same technical effect, and the embodiment of the present invention no longer repeats one by one.
In conclusion electromagnetic leakage signal provided in an embodiment of the present invention restores with Enhancement Method and system according to being received
Include noise situations to electromagnetic leakage signal, ambient noise and wireless channel noise are established into electromagnetic leakage signal model；And it presses
It is divided into high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part according to the characteristics of received electromagnetic leakage signal, and
By the two by being overlapped reconstruct after respective blind equalizer, obtains electromagnetic leakage signal and restore and enhancing model.With it is existing
Technology is compared, and recovery provided in an embodiment of the present invention and Enhancement Method, can be fine according to the physical characteristic of electromagnetic leakage signal
Recovery with increase vision signal make the vision signal received have stronger comprehensibility, to improve TEMPEST
Attacking ability.
Although the embodiments of the invention are described in conjunction with the attached drawings, but those skilled in the art can not depart from this hair
Various modifications and variations are made in the case where bright spirit and scope, such modifications and variations are each fallen within by appended claims
Within limited range.
Claims (8)
1. a kind of electromagnetic leakage signal restores and Enhancement Method characterized by comprising
It include the electromagnetic leakage of ambient noise and wireless channel noise according to foundation the characteristics of ambient noise and wireless channel noise
Signal model；
According to the electromagnetic leakage signal model by the received electromagnetic leakage signal of institute be divided into high-frequency electromagnetic leakage signal part and
Low frequency electromagnetic leakage signal part simultaneously carries out Adaptive inverse filtering processing respectively；
By high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part by respective blind equalizer to obtain
Respective output signal is taken, merges two output signals in the way of convex combination to obtain electromagnetic leakage signal and restore and enhancing mould
Type；
The electromagnetic leakage signal restores the expression formula with enhancing model are as follows:
In formula,Restore the output valve with enhancing model, f for electromagnetic leakage signalL(x, y) and fH(x, y) is respectively high frequency
Electromagnetic leakage signal part and low frequency electromagnetic leakage signal part, λ (n) are weighting function when merging, and λ (n) value range is
[0,1], andSgm [x]=[1+e-x]-1For contrary flexure letter
Number,ForPositive maximum value, wL(x, y) and wH(x, y) is respectively high-frequency electromagnetic leakage signal part and low
The weight coefficient of blind equalizer corresponding to frequency electromagnetic leakage signal part.
2. electromagnetic leakage signal according to claim 1 restores and Enhancement Method, which is characterized in that described to be made an uproar according to environment
The characteristics of sound and wireless channel noise, establishes the step of including the electromagnetic leakage signal model of ambient noise and wireless channel noise
Later, further includes:
The cost function that blind equalizer is formed according to statistical independence parameter, so that the estimation model of received electromagnetic leakage signal
Output signal and the received electromagnetic leakage signal of institute as close possible to.
3. electromagnetic leakage signal according to claim 2 restores and Enhancement Method, which is characterized in that described only according to statistics
Vertical property parameter forms the cost function of blind equalizer, so that the output signal of the estimation model of received electromagnetic leakage signal and institute
Received electromagnetic leakage signal as close possible to the step of after, further includes:
The probability-distribution function and scoring function of high-frequency electromagnetic leakage signal part are obtained according to mixed Gauss model；And according to
It is uniformly distributed probability-distribution function and scoring function that model obtains low frequency electromagnetic leakage signal part.
4. electromagnetic leakage signal according to claim 3 restores and Enhancement Method, which is characterized in that described high according to mixing
The probability-distribution function and scoring function of this model acquisition high-frequency electromagnetic leakage signal part；And it is obtained according to model is uniformly distributed
After the step of taking the probability-distribution function and scoring function of low frequency electromagnetic leakage signal part, further includes:
Corresponding to high-frequency electromagnetic leakage signal part is obtained according to the probability-distribution function of high-frequency electromagnetic leakage signal part
Balanced device iteration coefficient；And low frequency electromagnetic is obtained according to the probability-distribution function of low frequency electromagnetic leakage signal part
The iteration coefficient of balanced device corresponding to leakage signal part.
5. a kind of electromagnetic leakage signal restores and enhancing system characterized by comprising
Electromagnetic leakage signal model building module, for including environment according to being established the characteristics of ambient noise and wireless channel noise
The electromagnetic leakage signal model of noise and wireless channel noise；
Adaptive inverse filtering processing module, for being divided the received electromagnetic leakage signal of institute according to the electromagnetic leakage signal model
Adaptive inverse filtering processing is carried out for high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage signal part and respectively；
Restore to obtain module with enhancing model, be used for high-frequency electromagnetic leakage signal part and low frequency electromagnetic leakage letter
Number part, to obtain respective output signal, merges two output signals in the way of convex combination by respective blind equalizer to obtain
Electromagnetic leakage signal is taken to restore and enhancing model；
The electromagnetic leakage signal restores the expression formula with enhancing model are as follows:
In formula,Restore the output valve with enhancing model, f for electromagnetic leakage signalL(x, y) and fH(x, y) is respectively high frequency
Electromagnetic leakage signal part and low frequency electromagnetic leakage signal part, λ (n) are weighting function when merging, and λ (n) value range is
[0,1], andSgm [x]=[1+e-x]-1For contrary flexure letter
Number,ForPositive maximum value, wL(x, y) and wH(x, y) is respectively high-frequency electromagnetic leakage signal part and low
The weight coefficient of blind equalizer corresponding to frequency electromagnetic leakage signal part.
6. electromagnetic leakage signal according to claim 5 restores and enhancing system, which is characterized in that further include cost function
Generation module, for forming the cost function of blind equalizer according to statistical independence parameter, so that received electromagnetic leakage signal
Estimation model output signal and the received electromagnetic leakage signal of institute as close possible to.
7. electromagnetic leakage signal according to claim 6 restores and enhancing system, which is characterized in that further include probability distribution
Function obtains module, for obtaining the probability-distribution function and score of high-frequency electromagnetic leakage signal part according to mixed Gauss model
Function；And according to the probability-distribution function and scoring function for being uniformly distributed model acquisition low frequency electromagnetic leakage signal part.
8. electromagnetic leakage signal according to claim 7 restores and enhancing system, which is characterized in that further include iteration coefficient
Module is obtained, for obtaining high-frequency electromagnetic leakage signal portion according to the probability-distribution function of high-frequency electromagnetic leakage signal part
The iteration coefficient of balanced device corresponding to point；And it is obtained according to the probability-distribution function of low frequency electromagnetic leakage signal part
The iteration coefficient of balanced device corresponding to low frequency electromagnetic leakage signal part.
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