CN105812300A - Long code DSSS signal blind estimation method for eliminating information code hopping - Google Patents

Long code DSSS signal blind estimation method for eliminating information code hopping Download PDF

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CN105812300A
CN105812300A CN201610292502.5A CN201610292502A CN105812300A CN 105812300 A CN105812300 A CN 105812300A CN 201610292502 A CN201610292502 A CN 201610292502A CN 105812300 A CN105812300 A CN 105812300A
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code
information code
signal
long code
matrix
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CN105812300B (en
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夏文龙
郭庆功
周渊平
马雪莲
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Sichuan University
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Sichuan University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/0202Channel estimation
    • H04L25/0238Channel estimation using blind estimation
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B1/00Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/69Spread spectrum techniques
    • H04B1/707Spread spectrum techniques using direct sequence modulation

Abstract

The invention discloses a long code direct sequence spread spectrum (DSSS) signal blind estimation method for eliminating information code hopping, and relates to the field of spread-spectrum signal processing during signal processing. Technical key points of the long code DSSS signal blind estimation method are as follows: in consideration that a long code is interfered by multiple different information code elements during one period, an interference reason is: random time varying of an information code causes existence of hopping between a front code element and a next code element, and a hopping point varies the polarity of a spread-spectrum code, so that long code spread spectrum signal estimation generates errors; and according to the long code DSSS signal blind estimation method for eliminating the information code hopping, a hopping point compensation matrix is constructed to a receiving signal, and influence of a hopping point is eliminated, so that a long code spread spectrum sequence is estimated by directly utilizing a principal component decomposition method under an condition of not needing of segmentation. The long code DSSS signal blind estimation method for eliminating the information code hopping is especially suitable for performing blind detection and blind estimation of long code spread spectrum signals in non-cooperative communication, and processing and detecting software radio signals of a spread spectrum system.

Description

Eliminate the long code DSSS blind symbol estimation method of information code saltus step
Technical field
The present invention relates to the spread-spectrum signal process field in signal processing, be the long code DSSS blind symbol estimation method eliminating information code saltus step concretely.
Background technology
DSSS (DirectSequenceSpreadSpectrum;DSSS) modulation technique utilizes the pseudo-random sequence of two-forty to carry out spread information signal, feature at frequency domain shows as the broadening of frequency spectrum, direct sequence spread spectrum skill has the feature of secrecy, anti-multipath, anti-interference and Anti TBIgG, is widely used in civil and military communication.Under collaboration communication scene, receiving terminal utilizes the parameter that receiving-transmitting sides is known to carry out the despreading of signal thus identifying the information of transmission.And in non-cooperating communicates, as under the situations such as radio investigation, location, information reverting, it is necessary to Direct Sequence Spread Spectrum Signal carries out blind process, and most important of which parameter is exactly obtain the pseudo-random sequence that spread spectrum adopts.
Under normal circumstances Direct Sequence Spread Spectrum Signal is classified as according to the information code element number that a spreading code cycle (pseudo-random sequence cycle) modulates short code direct sequence signal and the big class of long code direct sequence signal two.For short code direct sequence signal, its information code duration is just equal to a spreading code cycle, and namely a spreading period modulates an information code element;For long code direct sequence signal, its information code duration less than the spreading code cycle, namely spreading period modulation K (K is the positive rational number more than 1, it is possible to can also be mark for integer, respectively correspondence cycle long code and aperiodic long code) individual information code.The interference that long code Direct Sequence Spread Spectrum Signal is modulated due to information code so that long code Direct Sequence Spread Spectrum Signal is estimated that relatively short code is more difficult.Chinese patent (publication number: CN101237250A, publication date on August 6th, 2008) disclose a kind of frequency spreading wave blind estimation method based on odd value analysis, the method is that the spread-spectrum signal received is carried out segmentation, estimate the spreading code waveform in each segment data, more each section of spreading code waveform is connected the frequency expansion sequence obtaining a cycle.The method needs to be divided into spreading code the section less than spreading period, and the selection of segmentation parameter can affect the performance of estimation, and to carry out repeatedly Eigenvalues Decomposition computing, adds the complexity of calculating.Chinese patent (publication number: CN103414670A, publication date on November 27th, 2013) discloses a kind of long code DSSS signal blind despread method based on Semidefinite Programming, by constructing symmetrical matrix and adopting interior-point algohnhm to estimate spreading code waveform.The method computation complexity relatively first method is bigger, consuming time longer.
Summary of the invention
The technical problem to be solved, it is simply that provide a kind of long code DSSS blind symbol estimation method eliminating information code saltus step, solves the problem that prior art computing is complicated.
The present invention solves that the technical scheme that problem above provides is, the long code DSSS blind symbol estimation method eliminating information code saltus step comprises the following steps:
A. signal down coversion of eating dishes without rice or wine obtains baseband sampling signal, and blind estimate obtains long code spread spectrum DSSS signal period P, width Q when spreading rate and information code element, and intercepting N segment length in sampled signal is the digital signal of P, can obtain following expression
y ( n ) = A Σ i = 0 M - 1 b i q ( n - j Q ) Σ j = 0 N - 1 h ( n - j P ) + w ( n )
h ( n ) = Σ k = 0 P - 1 c k p ( n - k )
Wherein bi(bi∈ ± 1}, i=0 ..., M-1) and ck(ck∈ ± 1}, k=0 ..., and P-1) distinguish representative information code sequence and spread spectrum code sequence, the amplitude of A representation signal, M represents the number of information code in NP sample of signal, and q (n) is rectangular function and meetsP (n) represents the convolution of emission filter, channel and receiving filter, and h (n) is spread spectrum code sequence ckWith the shock response of p (n), w (n) represents additive white Gaussian noise;
B. width Q and spreading code cycle P time according to the information code element estimated, calculates the information code element number comprised in the spreading code cycle This mathematical symbolism rounds up, then in a long code spreading period, information code element is up to β trip point, constructs Hopping Pattern matrix
Wherein, Hk(k=0 ..., β) represent have the Hopping Pattern matrix that k trip point is corresponding;
C. long code baseband signal of the band received being made an uproar carries out segmentation by cycle P, obtains the vectorial y that N number of length is Pl(l=0 ..., N-1), wherein
Wherein,Represent the information symbol sequence pressing spreading rate sampling;
D. calculate?In certainly exist group hopping pattern and a blThe Hopping Pattern of middle information code is identical, namely It is the matrix of a Γ × P, thenCan be expressed as
s.t.||bl(1:P) | |2=P
| b l ( i ) | = 1 , ∀ i ∈ { 0 , 1 , ... P - 1 }
E. basisCalculate covariance matrixRightCarry out principal component decomposition, obtain characteristic of correspondence vector wmax, thus obtaining the spread spectrum code sequence estimated
c ^ = s i g n ( w max )
Wherein sign () represents sign function.
Consider that long code is subject to the interference of multiple different information code element within a cycle, the reason of interference is owing to the randomness of information code causes there is saltus step between the code element of front and back, trip point changes the polarity of spreading code, so that long code spread-spectrum signal is estimated to bring mistake, and the present invention is by structure trip point compensation matrix to received signal, reduce the impact even eliminating trip point, thus directly use principal component decomposition method to estimate frequency expansion sequence when not needing segmentation.
Further, in step a, blind estimate long code spread spectrum DSSS signal period P estimates to adopt Second spectrum, correlated fluctuations spectrometry, Cepstrum Method, circulation spectrometry or auto-correlation calculus of finite differences.
Further, in step b, Hopping Pattern matrix neutron matrix HkA jump position is represented with 1 to-1 or-1 to 1.K=0 represents does not have trip point, corresponding is length is complete 1 row vector of P, k=1 represents only one of which trip point, during one trip point can there is the position in P chip between the adjacent chip in any front and back in jump position, P-1 row vector is had under worst case, by that analogy, so that it is determined that whole information code saltus step matrix
Further, in step b, Hopping Pattern matrix can also adopt the matrix that the Hopping Pattern of the maximum trip point of jumping probability is constituted to carry out approximate representation, namely can use information code saltus step matrixSubset be similar to, thus reducing the dimension of matrix.
Further, in step d, operatorRepresenting matrixIn every a line in element and ylCorresponding element in vector carries out point multiplication operation.
Further, in step e, principal component decomposition adopts singular value decomposition or Eigenvalues Decomposition to realize.
The invention has the beneficial effects as follows, by tectonic information code Hopping Pattern matrix, eliminate the information code destruction to the spread spectrum code sequence cycle in long code spread spectrum, the blind estimate of long code frequency expansion sequence is realized by principal component analytical method, achieving with relatively low complexity and estimate performance preferably, particularly when low signal-to-noise ratio, more existing method has bigger performance boost.The present invention is especially suitable for the blind Detecting of long code spread-spectrum signal in non-cooperating communication and blind estimate, and the Software Radio for spread spectrum system processes and detection.
Below in conjunction with accompanying drawing, the present invention is further described, so that those skilled in the art are capable of the present invention.
Accompanying drawing explanation
Fig. 1 is the flow chart of the long code DSSS blind symbol estimation method eliminating information code saltus step;
The performance comparison curve chart that Fig. 2 is the present invention and traditional characteristic value decomposition method changes with sample period lengths;
Fig. 3 is the spreading code despreading correlation coefficient correlation curve figure that the present invention and traditional characteristic value decomposition method change with signal to noise ratio;
Fig. 4 is the present invention and the decomposition of traditional characteristic value and the cooperation despreading information code ber curve figure with signal to noise ratio change;
Detailed description of the invention
As it is shown in figure 1, eliminate the flow chart of the long code DSSS blind symbol estimation method of information code saltus step, the long code DSSS blind symbol estimation method eliminating information code saltus step comprises the following steps:
Step 100: process from eating dishes without rice or wine and obtain baseband sampling signal;
Step 101: blind estimate obtains long code spread spectrum DSSS signal period P, width Q when spreading rate and information code element.The estimation of P and Q can adopt secondary power spectrum, correlated fluctuations spectrum, cepstrum, Cyclic Spectrum or auto-correlation calculus of finite differences to realize, and then intercepting N segment length in sampled signal is the digital signal of P
y ( n ) = A Σ i = 0 M - 1 b i q ( n - i Q ) Σ j = 0 N - 1 h ( n - j P ) + w ( n )
h ( n ) = Σ k = 0 P - 1 c k p ( n - k )
Wherein A, bi(bi∈ ± 1}, i=0 ..., M-1 and ck(ck∈ ± 1}, k=0 ..., and P-1) distinguish the amplitude of representation signal, information code sequence and spread spectrum code sequence, M represents the number of information code in NP sample of signal.Q (n) is rectangular function and meetsP (n) represents the convolution of emission filter, channel and receiving filter, and h (n) is spread spectrum code sequence ckWith the shock response of p (n), w (n) represents additive white Gaussian noise.
Step 102: calculate the information code element number comprised in the spreading code cycle Expression rounds up, then in a long code spreading period, information code element is up to β trip point, constructs Hopping Pattern matrix
Wherein Hk(k=0 ..., β) represent have the Hopping Pattern matrix that k trip point is corresponding.Hopping Pattern matrix neutron matrix HkA jump position is represented with 1 to-1 or-1 to 1.K=0 represents does not have trip point, corresponding is length is complete 1 row vector of P, k=1 represents only one of which trip point, during one trip point can there is the position in P chip between the adjacent chip in any front and back in jump position, P-1 row vector is had under worst case, by that analogy, so that it is determined that whole information code saltus step matrixHopping Pattern matrix can also adopt the matrix that the Hopping Pattern of the maximum several trip points of jumping probability is constituted to carry out approximate representation, namely can use information code saltus step matrixSubset be similar to, thus reducing the dimension of matrix.
Step 103: long code baseband signal that the band received is made an uproar carries out segmentation by cycle P, obtains the vectorial y that N number of length is Pl(l=0 ..., N-1)
Wherein,Represent the information symbol sequence pressing spreading rate sampling.
OperatorRepresenting matrixIn every a line in element and ylCorresponding element in vector carries out point multiplication operation, and ⊙ represents that the element of correspondence position carries out point multiplication operation.?In certainly exist group hopping pattern and a blThe Hopping Pattern of middle information code is identical, namely It is the matrix of a Γ × P, thenCan be expressed as:
s.t.||bl(1:P) | |2=P
| b l ( i ) | = 1 , ∀ i ∈ { 0 , 1 , ... P - 1 }
Step 104: according toCalculate covariance matrixRightCarry out Eigenvalues Decomposition, obtain characteristic of correspondence vector wmax, thus obtaining the spread spectrum code sequence estimated
c ^ = s i g n ( w max )
Wherein sign () represents sign function.
Step 105: the spread spectrum code sequence that estimation is obtainedMake related operation with sample sequence y (n), recover information symbol sequence bi(bi∈ ± 1} ,=0 ..., M-1).
As shown in Figure 2, the performance comparison curve chart that the present invention and traditional characteristic value decomposition method change with sample period lengths, spreading code cycle P=127 in embodiment, information code element width Q=60, sample of signal length N is set as between spreading period 20 to 200, signal to noise ratio is-10dB, carries out 200 Monte Carlo simulations, by the present invention with do not eliminate the traditional characteristic value decomposition method of information code saltus step and carried out the performance comparison of error sign ratio.Embodiment from Fig. 2 is it can be seen that the sample size that needs under identical performance of the present invention is less, and the frequency expansion sequence being highly suitable for intercepting and capturing under the less occasion of sample number is estimated.
As shown in Figure 3, the spreading code despreading correlation coefficient correlation curve figure that the present invention and traditional characteristic value decomposition method change with signal to noise ratio, under different signal to noise ratios, sample of signal length N is set as 100, signal to noise ratio presses 1dB stepping from-15dB to 0dB, spreading code cycle P and information code element width Q respectively 127 and 60. present invention and do not eliminate information code saltus step traditional characteristic value decomposition method estimate spreading code parameter performance contrasted, performance assessment by define estimate spread spectrum code sequenceNormalizated correlation coefficient with actual spreading code cCharacterize.From figure 3, it can be seen that the performance boost that the present invention estimates spreading code is obvious.
As shown in Figure 4, the information code ber curve figure that the present invention and traditional characteristic value are decomposed and cooperation despreading changes with signal to noise ratio, under different signal to noise ratios, the present invention and do not eliminate the bit error rate of the information code that the traditional characteristic value decomposition method of information code saltus step recovers, and and performance when collaboration communication contrasted.Parameter setting is consistent with the embodiment of Fig. 3, from fig. 4, it can be seen that the present invention faster converges on the performance of collaboration communication.

Claims (6)

1. eliminate the long code DSSS blind symbol estimation method of information code saltus step, it is characterised in that comprise the following steps:
A. signal down coversion of eating dishes without rice or wine obtains baseband sampling signal, and blind estimate obtains long code spread spectrum DSSS signal period P, width Q when spreading rate and information code element, and intercepting N segment length in sampled signal is the digital signal of P, can obtain following expression
y ( n ) = A Σ i = 0 M - 1 b i q ( n - i Q ) Σ j = 0 N - 1 h ( n - j P ) + w ( n )
h ( n ) = Σ k = 0 P - 1 c k p ( n - k )
The wherein amplitude of A representation signal, bi(bi∈ ± 1}, i=0 ..., M-1) and ck(ck∈ ± 1}, k=0 ..., and P-1) distinguish representative information code sequence and spread spectrum code sequence, M represents the number of information code in NP sample of signal, and q (n) is rectangular function and meetsP (n) represents the convolution of emission filter, channel and receiving filter, and h (n) is spread spectrum code sequence ckWith the shock response of p (n), w (n) represents additive white Gaussian noise;
B. width Q and spreading code cycle P time according to the information code element estimated, calculates the information code element number comprised in the spreading code cycle This mathematical symbolism rounds up, then in a long code spreading period, information code element is up to β trip point, constructs Hopping Pattern matrix
Wherein, Hk(k=0 ..., β) represent have the Hopping Pattern matrix that k trip point is corresponding;
C. long code baseband signal of the band received being made an uproar carries out segmentation by cycle P, obtains the vectorial y that N number of length is Pl(l=0 ..., N-1), wherein
Wherein,Represent the information symbol sequence pressing spreading rate sampling;
D. calculate?In certainly exist group hopping pattern and a blThe Hopping Pattern of middle information code is identical, namely It is the matrix of a Γ × P, thenCan be expressed as
s.t.||bl(1:P) | |2=P
| b l ( i ) | = 1 , ∀ i ∈ { 0 , 1 , ... P - 1 }
E. basisCalculate covariance matrixRightCarry out principal component decomposition, obtain characteristic of correspondence vector wmax, thus obtaining the spread spectrum code sequence estimated
c ^ = s i g n ( w m a x )
Wherein sign () represents sign function.
2. eliminate the long code DSSS blind symbol estimation method of information code saltus step according to claim 1, it is characterized in that: in described step a, blind estimate long code spread spectrum DSSS signal period P adopts Second spectrum, correlated fluctuations spectrometry, Cepstrum Method, circulation spectrometry or auto-correlation calculus of finite differences.
3. eliminate the long code DSSS blind symbol estimation method of information code saltus step according to claim 1, it is characterised in that: in described step b, Hopping Pattern matrix neutron matrix HkA jump position is represented with 1 to-1 or-1 to 1, k=0 represents does not have trip point, corresponding is length is complete 1 row vector of P, k=1 represents only one of which trip point, during one trip point can there is the position in P chip between the adjacent chip in any front and back in jump position, P-1 row vector is had under worst case, by that analogy, so that it is determined that whole information code saltus step matrix
4. eliminate the long code DSSS blind symbol estimation method of information code saltus step according to claim 3, it is characterized in that, in described step b, Hopping Pattern matrix can adopt the matrix that the Hopping Pattern of the maximum several trip points of jumping probability is constituted to carry out approximate representation, namely can use information code saltus step matrixSubset be similar to, thus reducing the dimension of matrix.
5. eliminate the long code DSSS blind symbol estimation method of information code saltus step according to claim 1, it is characterised in that in described step d, operatorRepresenting matrixIn every a line in element and ylCorresponding element in vector carries out point multiplication operation.
6. eliminating the long code DSSS blind symbol estimation method of information code saltus step according to claim 1, it is characterised in that in described step e, principal component decomposition adopts singular value decomposition or Eigenvalues Decomposition to realize.
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CN115940992A (en) * 2022-11-16 2023-04-07 中国人民解放军战略支援部队航天工程大学 BL-DSSS signal code tracking method based on frequency domain subspace principle

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Publication number Priority date Publication date Assignee Title
CN107682041A (en) * 2017-10-19 2018-02-09 杭州电子科技大学 A kind of multiple antennas LC DS CDMA signal spread-spectrum code blind estimating methods
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CN115940992A (en) * 2022-11-16 2023-04-07 中国人民解放军战略支援部队航天工程大学 BL-DSSS signal code tracking method based on frequency domain subspace principle
CN115940992B (en) * 2022-11-16 2023-10-03 中国人民解放军战略支援部队航天工程大学 BL-DSSS signal code tracking method based on frequency domain subspace principle

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