CN109671447A - A kind of binary channels is deficient to determine Convolution Mixture Signals blind signals separation method - Google Patents
A kind of binary channels is deficient to determine Convolution Mixture Signals blind signals separation method Download PDFInfo
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- G10L21/00—Speech or voice signal processing techniques to produce another audible or non-audible signal, e.g. visual or tactile, in order to modify its quality or its intelligibility
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- G10L21/00—Speech or voice signal processing techniques to produce another audible or non-audible signal, e.g. visual or tactile, in order to modify its quality or its intelligibility
- G10L21/02—Speech enhancement, e.g. noise reduction or echo cancellation
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Abstract
It owes to determine Convolution Mixture Signals blind signals separation method the present invention relates to a kind of binary channels, comprising the following steps: S1: acquisition voice signal and music signal, and synthesize binary channels and owe to determine Convolution Mixture Signals signal;S2: Convolution Mixture Signals signal progress mathematical modeling is determined to deficient, obtains the mathematic(al) representation for owing to determine Convolution Mixture Signals model;S3: Fourier transformation is carried out to observation signal and obtains the aliasing signal x (f, n) on frequency domain, Mixture matrix is estimated on frequency domainS4: the Mixture matrix of estimation is utilizedThe source signals on frequency domain, obtainS5: to the source signal separated on frequency domainInverse Fourier transform is carried out, to obtain the estimation source signal in time domainThe present invention quotes parallel factor decomposition estimation aliasing access matrix, scale and sequence uncertain problem are solved using minimum distortion principle and K-means clustering method, then Wiener Filter Method source signals are utilized, compared to other algorithms, separating effect of the invention is more superior.
Description
Technical field
The present invention relates to the technical field of blind signal processing more particularly to a kind of binary channels owe to determine Convolution Mixture Signals signal it is blind
Separation method.
Background technique
Blind separation (Blind Source Separation, BSS) originates from cocktail party problem, i.e., says simultaneously in more people
In the environment of words, how by way of machine learning, isolated from multiple sound mix signals that microphone receives every
The sound of a speaker? this is extremely challenging project in field of signal processing.
It owes to determine convolution blind separation to be a kind of more complicated situation, mainly number of the number of source signal greater than microphone
Mesh causes the information content obtained limited, brings very big difficulty to separation.In particular, received signal is past in real life
Toward the delay on time of occurrence, lead to more complicated Convolution Mixture Signals.In order to solve this blind separation for owing to determine Convolution Mixture Signals signal
Problem, method popular at present is time-frequency domain method, and mainly the aliasing signal in time domain is become by Fourier in short-term
It changes on frequency domain, by reconstructing source signal on each frequency point.Having been presented for Part Methods includes Full-rank algorithm (Duong
N Q K,Vincent E.Under-determined reverberant audio source separation using a
Full-rank spatial covariance model [M] .IEEE Press, 2010.), EM NMF, MU NMF algorithm
(Ozerov A,Fevotte C.Multichannel Nonnegative Matrix Factorization in
Convolutive Mixtures for Audio Source Separation[J].IEEE Transactions on
Audio Speech&Language Processing, 2010,18 (3): 550-563.), GEM-MU NTF algorithm (Ozerov
A,Févotte C,Blouet R,et al.Multichannel nonnegative tensor factorization with
structured constraints for user-guided audio source separation[C]//IEEE
International Conference on Acoustics,Speech and Signal Processing.IEEE,2011:
257-260.), GEM-MU NMF algorithm (Al-Tmeme A, Woo W L, Dlay S S, et al.Underdetermined
Convolutive Source Separation using GEM-MU with Variational Approximated
Optimum Model Order NMF2D[J].IEEE/ACM Transactions on Audio Speech&Language
Processing, 2017, PP (99): 1-1.), Weighted interleaved ICA algorithm (Nesta F, Omologo
M.Convolutive Underdetermined Source Separation through Weighted Interleaved
ICA and Spatio-temporal Source Correlation[C]//Latent Variable Analysis and
Signal Separation-,International Conference,Lva/ica 2012,Tel Aviv,Israel,
March 12-15,2012.Proceedings.DBLP, 2012:222-230.), Bin-wise clustering algorithm
(Sawada H,Araki S,Makino S.Underdetermined Convolutive Blind Source
Separation via Frequency Bin-Wise Clustering and Permutation Alignment[J]
.IEEE Transactions on Audio Speech&Language Processing, 2010,19 (3): 516-527.),
Bayes-risk minimization algorithm (Cho J, Chang D Y.Underdetermined convolutive BSS:
bayes risk minimization based on a mixture of super-Gaussian posterior
approximation[J].IEEE/ACM Transactions on Audio Speech&Language Processing,
2015,23 (5): 828-839.) etc..But source signals are easy to appear scale ambiguousness and sequencing problem on frequency domain,
Cause final separating resulting undesirable.Present invention focuses on the performances of the source of raising separation, obtain better separating resulting.
Summary of the invention
It is an object of the invention to overcome the deficiencies of the prior art and provide a kind of separating effect is more superior than other algorithms
Binary channels owe determine Convolution Mixture Signals blind signals separation method,.
To achieve the above object, technical solution provided by the present invention are as follows:
Method estimates source signal in two steps: estimation Mixture matrix firstThen source signalsSpecific steps are such as
Under:
S1: acquisition voice signal and music signal, and synthesize binary channels and owe to determine Convolution Mixture Signals signal;
S2: Convolution Mixture Signals signal progress mathematical modeling is determined to deficient, obtains the mathematic(al) representation for owing to determine Convolution Mixture Signals model;
S3: carrying out Fourier transformation to observation signal and obtain the aliasing signal x (f, n) on frequency domain, estimates on frequency domain mixed
Folded matrix
S4: the Mixture matrix of estimation is utilizedThe source signals on frequency domain, obtain
S5: to the source signal separated on frequency domainInverse Fourier transform is carried out, to obtain the estimation source in time domain
Signal
Further, the step S2 is to owing to determine Convolution Mixture Signals signal modeling specific step is as follows:
Assuming that there is n signal s (t)=[s1(t),...,sn(t)]T, received, generate aliasing signal x (t) by m microphone
=[x1(t),...,xm(t)]TIt indicates are as follows:
Wherein, A ∈ Rm×nIndicating unknown aliasing access matrix, * indicates convolution symbol, and τ indicates time delay, n (t)=
[n1(t),...,nm(t)]T∈RmIndicate Gaussian noise.
Further, in the step S3, Mixture matrixSpecific step is as follows for estimation:
Fourier transformation is carried out to aliasing signal x (t), obtains the aliasing signal x (f, n) on frequency domain, utilizes CP tensor point
Solution method, iteration more new estimation Mixture matrix, i.e.,
Wherein, Rx(f, n)=E [x (f, n) xT(f, n)] it is autocorrelation matrix, e indicates Khatri-Rao product,For Af
Complex conjugate.
Further, the Mixture matrix estimated in the step S4 using step S3Firstly, being utilized on frequency domain
Minimum distortion principle and K-means clustering method solve scale and the uncertain texts and pictures that sort.Then, it is separated using Wiener Filter Method
Source signal obtainsIt is as follows:
Wherein,For Rx(f's, n) is inverse.
Further, the step S5 is to the source signal separated on frequency domainInverse Fourier transform is carried out, thus
Estimation source signal on to time domainObjective function is defined as foloows:
Compared with prior art, this programme principle and advantage is as follows:
Method estimates source signal to this programme in two steps: estimation Mixture matrix firstThen source signalsWherein,
A kind of mathematical tool (parallel factor decomposition) estimation aliasing access matrix is quoted, is clustered using minimum distortion principle and K-means
Method solves scale and sequence uncertain problem, then utilizes Wiener Filter Method source signals.Pass through experimental verification this programme
Separating effect it is more superior compared to other algorithms.
Detailed description of the invention
Fig. 1 is that a kind of binary channels of the present invention owes to determine the work flow diagram of Convolution Mixture Signals blind signals separation method;
Fig. 2 is the waveform diagram of source signal;
Fig. 3 is aliasing channel waveform diagram;
Fig. 4 is the waveform diagram of isolated source signal;
Fig. 5 is music signal separating property comparison diagram;
Fig. 6 is voice signal separating property comparison diagram.
Specific embodiment
The present invention is further explained in the light of specific embodiments:
A kind of binary channels is deficient described in the present embodiment determines Convolution Mixture Signals blind signals separation method, the source of method estimation in two steps letter
Number: estimation Mixture matrix firstThen source signalsSpecific step is as follows:
S1: the aliasing of acquisition one group of two channel, three music signals;Four groups of speech source signals are acquired again, are respectively synthesized two groups
It owes to determine Convolution Mixture Signals signal, i.e., the aliasing of twin-channel three sound source signals and mixing for twin-channel four sound source signals
It is folded.Wherein, the distance between two microphones are 1 meter, reverberation time RT60=250ms.
S2: aliasing signal is modeled.There is n signal s (t)=[s1(t),...,sn(t)]T, n=(3,4), by 2 Mikes
Wind, which receives, generates aliasing, then aliasing signal x (t)=[x1(t),...,xm(t)]T, (m=2) may be expressed as:
Wherein, A ∈ Rm×nIndicate that unknown aliasing access matrix, τ indicate time delay, n (t)=[n1(t),...,nm
(t)]T∈RmIndicate Gaussian noise.
S3: Fourier transformation is carried out to aliasing signal x (t), the aliasing signal x (f, n) on frequency domain is obtained, utilizes CP tensor
Decomposition method, iteration more new estimation Mixture matrix, i.e.,
Wherein, Rx(f, n)=E [x (f, n) xT(f, n)] it is autocorrelation matrix, e indicates Khatri-Rao product,For Af
Complex conjugate.
S4: the Mixture matrix estimated using step S3First with minimum distortion principle and K-means on frequency domain
Clustering method solves scale and sequence uncertain problem, recycles Wiener Filter Method source signals, obtainsIt is as follows:
Wherein,For Rx(f's, n) is inverse.
S5: to the source signal separated on frequency domainInverse Fourier transform is carried out, to obtain the estimation source in time domain
SignalObjective function is defined as foloows:
Illustrate the feasibility and superiority of the present embodiment below by three specific emulation experiments, all experiments be
Under Ubuntu 15.04, Inter (R) Xeon (R) CPU E5-2630v3@2.40GHz, 32.00GB, Matlab R2016b environment
What programming was realized.
Firstly, considering the aliasing situation of three, a two channel music signal, the data set of selection comes from " SiSEC
2013 " (http://www.sisec.wiki.irisa.fr) common data sets.The waveform of source signal is as shown in Fig. 2, aliasing is logical
Road waveform is as shown in figure 3, the following Fig. 4 of the waveform of isolated signal.In addition, experiment selects signal-to-noise ratio SDR to compare as performance, believe
It makes an uproar and illustrates that separating property is better than bigger, compare several popular algorithms, it is clear that the method performance of the present embodiment is more excellent
More, as shown in Figure 5.
Then, the case where considering three, two channel voice signal aliasing and four voice signal aliasings, comparison is compared now
Popular several algorithms, separating property comparison are as shown in Figure 6.Obviously, the method separating property that the present embodiment is proposed is more excellent
More.
The examples of implementation of the above are only the preferred embodiments of the invention, and implementation model of the invention is not limited with this
It encloses, therefore all shapes according to the present invention, changes made by principle, should all be included within the scope of protection of the present invention.
Claims (5)
1. a kind of binary channels owes to determine Convolution Mixture Signals blind signals separation method, which is characterized in that method estimates source signal in two steps: first
Estimate Mixture matrixThen source signalsSpecific step is as follows:
S1: acquisition voice signal and music signal, and synthesize binary channels and owe to determine Convolution Mixture Signals signal;
S2: Convolution Mixture Signals signal progress mathematical modeling is determined to deficient, obtains the mathematic(al) representation for owing to determine Convolution Mixture Signals model;
S3: Fourier transformation is carried out to observation signal and obtains the aliasing signal x (f, n) on frequency domain, aliasing square is estimated on frequency domain
Battle array
S4: the Mixture matrix of estimation is utilizedThe source signals on frequency domain, obtain
S5: to the source signal separated on frequency domainInverse Fourier transform is carried out, to obtain the estimation source signal in time domain
2. a kind of binary channels according to claim 1 owes to determine Convolution Mixture Signals blind signals separation method, which is characterized in that described
Step S2 is to owing to determine Convolution Mixture Signals signal modeling specific step is as follows:
Assuming that there is n signal s (t)=[s1(t),...,sn(t)]T, received by m microphone, generate aliasing signal x (t)=[x1
(t),...,xm(t)]TIt indicates are as follows:
Wherein, A ∈ Rm×nIndicate that unknown aliasing access matrix, * indicate that convolution symbol, τ indicate time delay, n (t)=[n1
(t),...,nm(t)]T∈RmIndicate Gaussian noise.
3. a kind of binary channels according to claim 1 owes to determine Convolution Mixture Signals blind signals separation method, which is characterized in that described
In step S3, Mixture matrixSpecific step is as follows for estimation:
Fourier transformation is carried out to aliasing signal x (t), the aliasing signal x (f, n) on frequency domain is obtained, utilizes the tensor resolution side CP
Method, iteration more new estimation Mixture matrix, i.e.,
Wherein, Rx(f, n)=E [x (f, n) xT(f, n)] it is autocorrelation matrix, e indicates Khatri-Rao product,For AfAnswer
Conjugation.
4. a kind of binary channels according to claim 1 owes to determine Convolution Mixture Signals blind signals separation method, which is characterized in that described
The Mixture matrix estimated in step S4 using step S3It is poly- first with minimum distortion principle and K-means on frequency domain
Class method solves scale and sequence uncertain problem, then utilizes Wiener Filter Method source signals, obtainsIt is as follows:
Wherein,For Rx(f's, n) is inverse.
5. a kind of binary channels according to claim 1 owes to determine Convolution Mixture Signals blind signals separation method, which is characterized in that described
Step S5 is to the source signal separated on frequency domainInverse Fourier transform is carried out, to obtain the estimation source signal in time domainObjective function is defined as foloows:
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