CN103778288A - Ant colony optimization-based near field sound source localization method under non-uniform array noise condition - Google Patents
Ant colony optimization-based near field sound source localization method under non-uniform array noise condition Download PDFInfo
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- CN103778288A CN103778288A CN201410016858.7A CN201410016858A CN103778288A CN 103778288 A CN103778288 A CN 103778288A CN 201410016858 A CN201410016858 A CN 201410016858A CN 103778288 A CN103778288 A CN 103778288A
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Abstract
The invention relates to an ant colony optimization-based near field sound source localization method under a non-uniform array noise condition and belongs to the technical field of array signal processing. The method comprises the steps of firstly establishing a near field sound source signal model based on a plane array, further establishing the maximum likelihood estimation problem of direction and distance information of a sound source to be estimated under a space non-uniform noise condition, and finally estimating sound source parameters by using a continuous space ant colony optimization method, thus finishing the localization on the near field sound source under the space non-uniform noise condition. The method is higher in estimation precision, both direction and distance mean square errors of the sound source under low signal-to-noise are smaller than those of a conventional maximum likelihood method, and the direction and distance square mean errors of the sound source under the high signal-to-noise condition approach to a Cramer-Rao Boundary and are far superior than those of the normal maximum likelihood method.
Description
Technical field
The present invention relates near field sound localization method under a kind of non-homogeneous array element noise conditions based on ant group optimization, belong to Array Signal Processing field.
Background technology
Because auditory localization is in the significant application value of the aspects such as radar, sonar, radio communication, seismology and biomedicine, in the last few years, the auditory localization based on sensor array had become one of study hotspot of signal processing.But traditional auditory localization is mostly based on arrowband, far field hypothesis, so can only estimate the azimuth information of sound source.In the time that sound source is closer from array, when the near field in array, because the phase differential between different array element is the function of sound bearing and distance, need to do to arrowband, far field sound localization method the expansion of distance domain, derive thus near field sound localization method under some uniform Gaussian noise assumed conditions, as least variance method, MUSIC and maximum likelihood method etc.In said method, there is the advantages such as the high angle resolution characteristic of consistent nothing partially, under minimum variance and Low SNR although maximum likelihood method computational complexity is high, be often used as the standard of other method performance of assessment.
But the Gaussian noise of space uniform is supposed and is not met some Practical Project problems.For example, the type that compacts radar array is owing to existing correlation noise, array to be output as coloured stochastic process between array element.And for example, for the larger microphone array of array element distance because the reasons such as mechanical vibration, array calibration error cause the output power of array element noise not identical.In above-mentioned two situations, the performance of the near field sources algorithm based on space uniform Gaussian noise assumed condition is by degradation.And conventional maximum likelihood method under the non-homogeneous Gaussian noise condition in space to the location of near field sound source in, calculate due to determining of sound source parameter need to be carried out to multi-C parameter space search, thereby high being difficult to of complexity positions.
Summary of the invention
Object of the present invention is just to provide near field sound localization method under a kind of non-homogeneous array element noise conditions based on ant group optimization, thereby it has realized the location near field sound source by the method that adopts continuous space ant group optimization in maximum likelihood localization method.
To achieve these goals, technical scheme of the present invention is: near field sound localization method under the non-homogeneous array element noise conditions based on ant group optimization, comprises the steps:
Step 1, set up near field acoustic source array output model
The signal wave that arrives array under Near Field is spherical wave, establishes the now position coordinates of sound source to be
,
the position vector of individual array element is
(
), so, sound source is expressed as to the steering vector of array
, in formula
represent signal carrier frequency, work as existence
when individual near field sound source, array output is expressed as
, in formula,
for array
the output of inferior sampling,
for array manifold,
for
individual unknown determinacy sound source
inferior output,
for the irrelevant white complex gaussian noise in spatial domain, its covariance matrix is
;
Definition treats that estimated parameter vector is
, in formula
,
,
serve as reasons
diagonal element form vector,
log-likelihood function be
, in formula
,
maximal possibility estimation be reduced to
, sound source parameter
,
maximal possibility estimation be
, parameter
,
maximal possibility estimation be
;
Step 3, ant group optimization solve solve for parameter
1., exist
dimension
in search volume, generate at random
individual ant, wherein
, establish
individual ant
for
, in formula,
represent
individual particle is
position in dimension;
2., objective definition function
for
, and use initial
individual ant constructs archives table, each ant according to
descending sort; Described archives table is
;
3., each ant is divided
step produces respectively each component of an ant, the
step
with probability
choose one dimension Gaussian function
and it is once sampled, wherein
,
, in formula
,
, the
individual one dimension Gaussian function
for
, its average
and variance
be defined as respectively
,
, in formula
;
4., calculate the new target function value that produces ant, if the target function value of some ant is greater than in archives table the target function value of the most several ants of below in them, replace with these new ants the old solution that target function value is little, and archives table is resequenced;
5., record the ant of the first row after each archives table upgrades, if archives table upgrades after several times, the last standard deviation of the ant of the first row of several archives tables is continuously less than certain vector given in advance, obtained an optimum solution, each component of the average of the ant of the first row of these archives tables is required
estimated value
, otherwise turn to step 3.;
6., according to tried to achieve
with hypothesis
initial value calculate
least-squares estimation
, recycling
,
revise
, double counting until
convergence.
Beneficial effect: first the present invention has set up near field sound-source signal model based on planar array, and then set up the maximal possibility estimation problem of sound bearing to be estimated and range information under spatial non-uniform noise condition, and by using continuous space ant colony optimization method finally to estimate sound source parameter value, thereby complete the location near field sound source under spatial non-uniform noise condition.The emulation experiment of double sound source shows that the inventive method estimated accuracy is higher, sound bearing and be all less than conventional maximum likelihood method apart from square error under low signal-to-noise ratio, and the square error of sound bearing and distance is all approached CramerRao circle under high s/n ratio condition, the estimated accuracy of the inventive method is much better than conventional maximum likelihood method.
Accompanying drawing explanation
Fig. 1 is that square error comparison diagram is estimated in sound source 1 orientation of the inventive method in emulation experiment, conventional maximum likelihood method and CramerRao circle.
Fig. 2 is that square error comparison diagram is estimated in sound source 2 orientation of the inventive method in emulation experiment, conventional maximum likelihood method and CramerRao circle.
Fig. 3 is the sound source 1 distance estimations square error comparison diagram of the inventive method in emulation experiment, conventional maximum likelihood method and CramerRao circle.
Fig. 4 is the sound source 2 distance estimations square error comparison diagrams of the inventive method in emulation experiment, conventional maximum likelihood method and CramerRao circle.
Fig. 5 is the near field Source Model figure that the present invention sets up.
Embodiment
Near field sound localization method under non-homogeneous array element noise conditions based on ant group optimization, comprises the steps:
Step 1, set up near field acoustic source array output model
The signal wave that arrives array under Near Field is spherical wave, as shown in Figure 5, establishes the now position coordinates of sound source and is
the position vector of individual array element is
(
), determined by array element coordinate, sound source to the
the distance of array element is
In formula
represent Euclidean vector norm, the
array element is expressed as with respect to the time delay of reference array element
In above formula
for the velocity of sound,
for sound source is to the distance of reference array element.So, sound source is expressed as to the steering vector of array
In formula
represent signal carrier frequency, so, existence worked as
when individual near field sound source, array output can be expressed as
,(5)
In formula,
for array
the output of inferior sampling,
for array manifold,
for
individual unknown determinacy sound source
inferior output,
for the irrelevant white complex gaussian noise in spatial domain, its covariance matrix is
Definition treats that estimated parameter vector is
, in formula
,
,
serve as reasons
diagonal element form vector, so
likelihood function can be expressed as
In formula
, (7) formula is taken the logarithm and ignored constant term, obtain
log-likelihood function be
,(8)
In formula
Formula (10) is one
dimension multiparameter associating estimation problem, sound source parameter to be estimated
,
with the non-homogeneous Gaussian noise of array element
be coupled, the computational complexity of global search is very high.In order to address this problem, first fixing
,
, ask (8) formula about vector
gradient, and to make it be 0, so we obtain
array element noise power
estimation
(12)
Order
and substitute in (8) formula
, obtain sound source parameter to be estimated
,
approximate log-likelihood function
(13)
So sound source parameter
,
maximal possibility estimation be
In formula
represent that Moore-Penrose is contrary, will
(8) formula of bringing into obtains
,
approximate Likelihood Function
(16)
Step 3, ant group optimization solve solve for parameter
1., exist
dimension
in search volume, generate at random
individual initial value (
individual ant), wherein
, establish
individual ant
for
2., objective definition function
for
, and use initial
individual ant constructs archives table, each ant according to
descending sort; Described archives table is
;
3., each ant is divided
step produces respectively each component of an ant, the
step
with probability
choose one dimension Gaussian function
and it is once sampled,
value determined by following formula
In formula
value provided by following formula
Obviously have
, here
an adjustable parameter, when
hour, algorithm can be with the larger probability selection forward solution that sorts for value, when
be worth when larger, algorithm selects the probability of separating each solution in archives table to be just more or less the same;
The
individual one dimension Gaussian function
for
(23)
In formula
be an adjustable parameter, be similar to the rate of volatilization in discrete space ant group algorithm;
4., calculate the new target function value that produces ant, if the target function value of some ant is greater than in archives table the target function value of the most several ants of below in them, replace with these new ants the old solution that target function value is little, and archives table is resequenced;
5., record the ant of the first row after each archives table upgrades, if archives table upgrades after several times, the last standard deviation of the ant of the first row of several archives tables is continuously less than certain vector given in advance, obtained an optimum solution, each component of the average of the ant of the first row of these archives tables is required
estimated value
, otherwise turn to step 3.;
6., according to tried to achieve
with hypothesis
initial value calculate
least-squares estimation
, recycling
,
revise
, double counting until
convergence.
Emulation experiment
Emulation experiment adopts arrowband sound source, establishes the velocity of sound and is
, frequency is 1000
, for convenience of the hypothetical target angle of pitch be
, using even 8 yuan of linear arrays, array element distance is the half of sound source wavelength, normalization noise covariance matrix is
, all experiment sampling numbers are 100 times, and two sound bearings, distance parameters are respectively
,
, signal to noise ratio (S/N ratio)
change 100 Monte Carlo Experiments.The estimation square error (MSE) that the azimuth-range of the inventive method is estimated and conventional maximum likelihood method (conventional ML) and CramerRao circle (CRB) to such as shown in accompanying drawing 1~4.
Can find out from accompanying drawing 1~4, the estimated accuracy of the inventive method will be much better than conventional ML method, and in the time that signal to noise ratio (S/N ratio) is less than 10 dB, the estimation square error (MSE) of the azimuth-range of this paper method is all less than conventional ML method; In the time that signal to noise ratio (S/N ratio) is greater than 10 dB, the estimation square error (MSE) of the azimuth-range that this paper method obtains has all been approached CramerRao circle (CRB) well.
Claims (1)
1. near field sound localization method under the non-homogeneous array element noise conditions based on ant group optimization, is characterized in that: comprise the steps:
Step 1, set up near field acoustic source array output model
The signal wave that arrives array under Near Field is spherical wave, establishes the now position coordinates of sound source to be
,
the position vector of individual array element is
(
), so, sound source is expressed as to the steering vector of array
, in formula
represent signal carrier frequency, work as existence
when individual near field sound source, array output is expressed as
, in formula,
for array
the output of inferior sampling,
for array manifold,
for
individual unknown determinacy sound source
inferior output,
for the irrelevant white complex gaussian noise in spatial domain, its covariance matrix is
;
Step 2, set up the maximal possibility estimation problem of solve for parameter
Definition treats that estimated parameter vector is
, in formula
,
,
serve as reasons
diagonal element form vector,
log-likelihood function be
, in formula
,
maximal possibility estimation be reduced to
, sound source parameter
,
maximal possibility estimation be
, parameter
,
maximal possibility estimation be
;
Step 3, ant group optimization solve solve for parameter
1., exist
dimension
in search volume, generate at random
individual ant, wherein
, establish
individual ant
for
, in formula,
represent
individual particle is
position in dimension;
2., objective definition function
for
, and use initial
individual ant constructs archives table, each ant according to
descending sort; Described archives table is
;
3., each ant is divided
step produces respectively each component of an ant, the
step
with probability
choose one dimension Gaussian function
and it is once sampled, wherein
,
, in formula
,
, the
individual one dimension Gaussian function
for
, its average
and variance
be defined as respectively
,
, in formula
;
4., calculate the new target function value that produces ant, if the target function value of some ant is greater than in archives table the target function value of the most several ants of below in them, replace with these new ants the old solution that target function value is little, and archives table is resequenced;
5., record the ant of the first row after each archives table upgrades, if archives table upgrades after several times, the last standard deviation of the ant of the first row of several archives tables is continuously less than certain vector given in advance, obtained an optimum solution, each component of the average of the ant of the first row of these archives tables is required
estimated value
, otherwise turn to step 3.;
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Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN104330787A (en) * | 2013-12-30 | 2015-02-04 | 河南科技大学 | Underwater motion array multi-target detection and position estimation integrated method |
CN105548957A (en) * | 2016-01-18 | 2016-05-04 | 吉林大学 | Multi-target far and near field mixed source positioning method under unknown colored noise |
CN107255796A (en) * | 2017-07-25 | 2017-10-17 | 西安交通大学 | Arrowband near-field signals source localization method under a kind of non-uniform noise |
CN111383440A (en) * | 2018-12-29 | 2020-07-07 | 北京骑胜科技有限公司 | Standard parking method and device for shared vehicles and electronic equipment |
Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20090052689A1 (en) * | 2005-05-10 | 2009-02-26 | U.S.A. As Represented By The Administrator Of The National Aeronautics And Space Administration | Deconvolution Methods and Systems for the Mapping of Acoustic Sources from Phased Microphone Arrays |
CN101595739A (en) * | 2007-01-26 | 2009-12-02 | 微软公司 | The multisensor auditory localization |
-
2014
- 2014-01-15 CN CN201410016858.7A patent/CN103778288B/en not_active Expired - Fee Related
Patent Citations (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US20090052689A1 (en) * | 2005-05-10 | 2009-02-26 | U.S.A. As Represented By The Administrator Of The National Aeronautics And Space Administration | Deconvolution Methods and Systems for the Mapping of Acoustic Sources from Phased Microphone Arrays |
CN101595739A (en) * | 2007-01-26 | 2009-12-02 | 微软公司 | The multisensor auditory localization |
Non-Patent Citations (3)
Title |
---|
KRZYSZTOF SOCHA等: "Ant colony optimization for continuous domains", 《EUROPEAN JOURNAL OF OPERATIONAL RESEARCH》 * |
MOHAMMED NABILELKORSO等: "Statistical analysis of achievable resolution limit in the near field source locatization context", 《SIGNALPROCESSING》 * |
刘先省等: "阵元非均匀高斯白噪声背景下的近场声源定位研究", 《河南大学学报(自然科学版)》 * |
Cited By (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN104330787A (en) * | 2013-12-30 | 2015-02-04 | 河南科技大学 | Underwater motion array multi-target detection and position estimation integrated method |
CN105548957A (en) * | 2016-01-18 | 2016-05-04 | 吉林大学 | Multi-target far and near field mixed source positioning method under unknown colored noise |
CN105548957B (en) * | 2016-01-18 | 2017-11-17 | 吉林大学 | Multiple target distance field mixing source localization method under a kind of unknown coloured noise |
CN107255796A (en) * | 2017-07-25 | 2017-10-17 | 西安交通大学 | Arrowband near-field signals source localization method under a kind of non-uniform noise |
CN107255796B (en) * | 2017-07-25 | 2020-03-13 | 西安交通大学 | Method for positioning narrow-band near-field signal source under non-uniform noise |
CN111383440A (en) * | 2018-12-29 | 2020-07-07 | 北京骑胜科技有限公司 | Standard parking method and device for shared vehicles and electronic equipment |
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