CN103135092A - Micro aperture acoustic array moving objective orientation method - Google Patents

Micro aperture acoustic array moving objective orientation method Download PDF

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CN103135092A
CN103135092A CN2013100467438A CN201310046743A CN103135092A CN 103135092 A CN103135092 A CN 103135092A CN 2013100467438 A CN2013100467438 A CN 2013100467438A CN 201310046743 A CN201310046743 A CN 201310046743A CN 103135092 A CN103135092 A CN 103135092A
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张鑫
宋恩亮
黄景昌
袁晓兵
李宝清
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Shanghai Institute of Microsystem and Information Technology of CAS
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Abstract

本发明涉及一种微孔径声阵列运动目标定向方法,包括以下步骤:选择传声器阵列,确定运动目标的信号带宽B=fH-fL,其中,fH为信号带宽的最高值,fL为信号带宽的最低值;确定流型矩阵,使流型矩阵的频率参数

Figure DDA00002820930400011
利用流型矩阵和传声器阵列信号之间的数学关系,通过角度搜索方式得到运动目标的方位角估计。本发明利用流型矩阵与传声器信号的正交关系,进行方位角搜索,即可得到运动目标的有效方位角估计,在保证定向精度不变的前提下,极大的减小了运动目标方位角估计所需要的运算复杂度。The invention relates to a method for orienting a moving target with a micro-aperture acoustic array, comprising the following steps: selecting a microphone array, and determining the signal bandwidth B=f H -f L of the moving target, wherein f H is the highest value of the signal bandwidth, and f L is The lowest value of the signal bandwidth; determine the flow pattern matrix, so that the frequency parameter of the flow pattern matrix
Figure DDA00002820930400011
Using the mathematical relationship between the flow pattern matrix and the microphone array signal, the azimuth angle estimation of the moving target is obtained by means of angle search. The present invention uses the orthogonal relationship between the flow pattern matrix and the microphone signal to search for the azimuth angle, and then the effective azimuth angle estimation of the moving target can be obtained, and the azimuth angle of the moving target can be greatly reduced under the premise of ensuring that the orientation accuracy remains unchanged. Estimate the required computational complexity.

Description

一种微孔径声阵列运动目标定向方法A micro-aperture acoustic array moving target orientation method

技术领域technical field

本发明涉及阵列信号处理技术领域,特别是涉及一种微孔径声阵列运动目标定向方法。The invention relates to the technical field of array signal processing, in particular to a micro-aperture acoustic array moving target orientation method.

背景技术Background technique

目标定向方法在雷达、声呐、地面无人值守传感器网络等领域有着广泛应用。轮式车、履带车、低空飞行器等主要运动目标产生的声信号是典型宽带随机信号,目前针对宽带随机信号的定向方法主要包括:1.基于不相干信号的定向方法2.基于相干信号的定向方法3.针对宽带声源的最大似然方法。其中基于不相干信号的定向方法需要将宽带信号分解到不重叠频带上的窄带数据,对每个窄带分别进行处理,从而获得方位角估计,该方法思路简单,但精度较差,运算复杂度大;基于相干信号的定向方法需要将频带内不重叠的频率点上的信号空间聚焦到参考频率点,聚焦后得到单一频率点的数据协方差,再利用窄带信号处理的方法进行方位角估计,该方法或者需要预先估计,或者需要复杂的聚焦方法,方法复杂并且运算复杂度大;针对宽带声源的最大似然方法运算精度高,适用范围广,但是运算复杂度巨大,从而很大程度上限制了其广泛使用。Target orientation methods are widely used in radar, sonar, ground unattended sensor networks and other fields. The acoustic signals generated by main moving targets such as wheeled vehicles, tracked vehicles, and low-altitude aircraft are typical broadband random signals. At present, the orientation methods for broadband random signals mainly include: 1. Orientation methods based on incoherent signals 2. Orientation methods based on coherent signals Method 3. Maximum likelihood method for broadband sound sources. Among them, the orientation method based on incoherent signals needs to decompose the wideband signal into narrowband data on non-overlapping frequency bands, and process each narrowband separately to obtain azimuth estimation. This method has simple ideas, but poor accuracy and high computational complexity. ; The orientation method based on coherent signals needs to focus the signal space on the non-overlapping frequency points in the frequency band to the reference frequency point, and obtain the data covariance of a single frequency point after focusing, and then use the narrowband signal processing method to estimate the azimuth angle. The method either requires pre-estimation or a complex focusing method, which is complex and has a large computational complexity; the maximum likelihood method for broadband sound sources has high computational accuracy and a wide range of applications, but the computational complexity is huge, which largely limits its widespread use.

发明内容Contents of the invention

本发明所要解决的技术问题是提供一种微孔径声阵列运动目标定向方法,能够在保证定向精度不变的前提下降低运算复杂度。The technical problem to be solved by the present invention is to provide a micro-aperture acoustic array moving target orientation method, which can reduce the computational complexity under the premise of keeping the orientation accuracy unchanged.

本发明解决其技术问题所采用的技术方案是:提供一种微孔径声阵列运动目标定向方法,包括以下步骤:The technical solution adopted by the present invention to solve the technical problem is to provide a micro-aperture acoustic array moving target orientation method, comprising the following steps:

(1)选择传声器阵列,确定运动目标的信号带宽B=fH-fL,其中,fH为信号带宽的最高值,fL为信号带宽的最低值;(1) Select the microphone array and determine the signal bandwidth of the moving target B=f H -f L , where f H is the highest value of the signal bandwidth, and f L is the lowest value of the signal bandwidth;

(2)确定流型矩阵,使流型矩阵的频率参数

Figure BDA00002820930300011
(2) Determine the flow pattern matrix, so that the frequency parameter of the flow pattern matrix
Figure BDA00002820930300011

(3)利用流型矩阵和传声器阵列信号之间的数学关系,通过角度搜索方式得到运动目标的方位角估计。(3) Using the mathematical relationship between the flow pattern matrix and the microphone array signal, the azimuth angle estimation of the moving target is obtained by means of angle search.

所述步骤(1)中传声器阵列的最大孔径D和运动目标的信号带宽B之间满足

Figure BDA00002820930300021
其中,Vsound为声速。In the step (1), the maximum aperture D of the microphone array and the signal bandwidth B of the moving target satisfy
Figure BDA00002820930300021
Among them, V sound is the speed of sound.

所述步骤(2)中的流型矩阵的频率参数f满足信号宽带的归一化频谱使得其概率密度函数标准差最小。The frequency parameter f of the flow pattern matrix in the step (2) satisfies the normalized frequency spectrum of the signal broadband so that the standard deviation of its probability density function is the smallest.

所述步骤(3)中采用多信号分类算法,波束形成算法,最大似然算法或最大熵算法实现角度搜索方式得到运动目标的方位角估计。In the step (3), a multi-signal classification algorithm, a beamforming algorithm, a maximum likelihood algorithm or a maximum entropy algorithm is used to realize the angle search method to obtain the azimuth angle estimation of the moving target.

所述步骤(1)中的传声器阵列为线阵、圆阵、平面阵或三角阵。The microphone array in the step (1) is a linear array, a circular array, a planar array or a triangular array.

有益效果Beneficial effect

由于采用了上述的技术方案,本发明与现有技术相比,具有以下的优点和积极效果:本发明利用流型矩阵与传声器信号的正交关系,进行方位角搜索,即可得到运动目标的有效方位角估计。本发明的定向方法既无需对每一个频率点单独进行方位角估计,又无需将频率聚焦到参考频率后再进行方位角估计,从而大大减小运算复杂度。本发明在保证定向精度不变的前提下,极大的减小了运动目标方位角估计所需要的运算复杂度。Due to the adoption of the above-mentioned technical scheme, the present invention has the following advantages and positive effects compared with the prior art: the present invention utilizes the orthogonal relationship between the flow pattern matrix and the microphone signal to search for the azimuth angle, and the moving target can be obtained. Effective azimuth estimation. The orientation method of the present invention does not need to separately estimate the azimuth angle for each frequency point, and does not need to focus the frequency to the reference frequency before performing the azimuth angle estimation, thereby greatly reducing the computational complexity. The present invention greatly reduces the computational complexity required for the estimation of the azimuth angle of the moving target under the premise of ensuring that the orientation accuracy remains unchanged.

具体实施方式Detailed ways

下面结合具体实施例,进一步阐述本发明。应理解,这些实施例仅用于说明本发明而不用于限制本发明的范围。此外应理解,在阅读了本发明讲授的内容之后,本领域技术人员可以对本发明作各种改动或修改,这些等价形式同样落于本申请所附权利要求书所限定的范围。Below in conjunction with specific embodiment, further illustrate the present invention. It should be understood that these examples are only used to illustrate the present invention and are not intended to limit the scope of the present invention. In addition, it should be understood that after reading the teachings of the present invention, those skilled in the art can make various changes or modifications to the present invention, and these equivalent forms also fall within the scope defined by the appended claims of the present application.

本发明的实施方式涉及一种微孔径声阵列运动目标定向方法,包括以下步骤:Embodiments of the present invention relate to a method for orienting a moving target with a micro-aperture acoustic array, comprising the following steps:

(1)选择传声器阵列,确定运动目标的信号带宽B=fH-fL,其中,fH为信号带宽的最高值,fL为信号带宽的最低值。其中,传声器阵列的最大孔径D和运动目标的信号带宽B之间满足

Figure BDA00002820930300022
其中,Vsound为声速。保证
Figure BDA00002820930300023
可以使得所述的流型矩阵A与传声器信号的数学关系的不变性,并且
Figure BDA00002820930300024
的值越小所得的方位角估计结果越准确。传声器阵列可以是但不限于如下类型:线阵、圆阵、平面阵、三角阵。(1) Select the microphone array and determine the signal bandwidth of the moving target B=f H -f L , where f H is the highest value of the signal bandwidth, and f L is the lowest value of the signal bandwidth. Among them, the maximum aperture D of the microphone array and the signal bandwidth B of the moving target satisfy
Figure BDA00002820930300022
Among them, V sound is the speed of sound. ensure
Figure BDA00002820930300023
The invariance of the mathematical relationship between the flow pattern matrix A and the microphone signal can be made, and
Figure BDA00002820930300024
The smaller the value of , the more accurate the azimuth estimation result is. The microphone array can be of but not limited to the following types: linear array, circular array, planar array, triangular array.

(2)确定流型矩阵,使流型矩阵的频率参数

Figure BDA00002820930300025
其中,流型矩阵的频率参数f满足信号宽带的归一化频谱使得其概率密度函数标准差最小时,方位角估计精度最高,该方法定向效果最佳。流型矩阵A=[a10)a20)...an0)],其中, a i ( ω 0 ) = e - j ω 0 τ 1 i e - j ω 0 τ 2 i . . . e - j ω 0 τ Mi , i=1,2,...,n(2) Determine the flow pattern matrix, so that the frequency parameter of the flow pattern matrix
Figure BDA00002820930300025
Among them, when the frequency parameter f of the flow pattern matrix satisfies the normalized spectrum of the signal broadband so that the standard deviation of the probability density function is the smallest, the azimuth angle estimation accuracy is the highest, and the orientation effect of this method is the best. Flow pattern matrix A=[a 10 )a 20 )...a n0 )], where, a i ( ω 0 ) = e - j ω 0 τ 1 i e - j ω 0 τ 2 i . . . e - j ω 0 τ Mi , i=1,2,...,n

。式中,ω0=2×π×f,对于均匀圆阵以圆心为参考点:τki=r/Vsound(cos(2(k-1)-θi)cosφi),k=1,2,...,M,其中,θi和φi分别表示方位角和俯仰角,r为圆的半径。. In the formula, ω 0 =2×π×f, for a uniform circular array with the center of the circle as the reference point: τ ki =r/V sound (cos(2(k-1)-θ i )cosφ i ),k=1, 2,...,M, where θi and φi represent the azimuth and elevation angles, respectively, and r is the radius of the circle.

(3)利用流型矩阵和传声器阵列信号之间的数学关系,通过角度搜索方式得到运动目标的方位角估计。其中,当选用多信号分类方法时,流型矩阵和传声器阵列信号之间的数学关系为流型矩阵中的导向矢量ai0)与传感器阵列信号的噪声子空间正交。本步骤可以采用但是不限于如下方法来实现角度搜索方式得到运动目标的方位角估计,多信号分类算法,波束形成算法,最大似然算法和最大熵算法。(3) Using the mathematical relationship between the flow pattern matrix and the microphone array signal, the azimuth angle estimation of the moving target is obtained by means of angle search. Among them, when the multi-signal classification method is selected, the mathematical relationship between the flow pattern matrix and the microphone array signal is that the steering vector a i0 ) in the flow pattern matrix is orthogonal to the noise subspace of the sensor array signal. This step can use but not limited to the following methods to realize the angle search method to obtain the azimuth estimation of the moving target, multi-signal classification algorithm, beam forming algorithm, maximum likelihood algorithm and maximum entropy algorithm.

需要说明的是,针对不同的算法,上述的数学关系也不相同,采用下面具体实施例中的多信号分类算法时,流型矩阵和传声器阵列信号之间是正交关系。It should be noted that, for different algorithms, the above-mentioned mathematical relationship is also different. When the multi-signal classification algorithm in the following specific embodiments is used, the relationship between the flow pattern matrix and the microphone array signal is orthogonal.

下面以一个具体的实施例来进一步说明本发明。The present invention will be further described below with a specific embodiment.

1.选用四元圆阵传声器阵列,圆阵孔径D为0.04m,空气中声速Vsound为340m/s。1. A four-element circular array microphone array is selected, the aperture D of the circular array is 0.04m, and the sound velocity V sound in the air is 340m/s.

2.主要目标轮式车、履带车和低空飞行器的信号带宽B可限定在0~400Hz,此时,

Figure BDA00002820930300032
满足小于1/20的条件。此时流型矩阵A的频率参数f可以选择为200Hz。2. The signal bandwidth B of the main target wheeled vehicles, crawler vehicles and low-altitude aircraft can be limited to 0-400Hz. At this time,
Figure BDA00002820930300032
Satisfy the condition of less than 1/20. At this time, the frequency parameter f of the flow pattern matrix A can be selected as 200 Hz.

3.在确定流型矩阵A后,搜索上述目标信号的MUSIC谱,可实现对目标的有效定向。值得一提的是,上述实施例中传声器阵列还可以是线阵、平面阵和三角阵,实现对目标的有效定向的方法还可以是波束形成算法,最大似然算法和最大熵算法。3. After determining the flow pattern matrix A, search the MUSIC spectrum of the above-mentioned target signal to achieve effective orientation to the target. It is worth mentioning that the microphone arrays in the above embodiments can also be linear arrays, planar arrays, and triangular arrays, and the methods for achieving effective orientation to targets can also be beamforming algorithms, maximum likelihood algorithms, and maximum entropy algorithms.

使用Matlab软件对上述方法进行仿真,对比其他宽带目标定向方法的运行时间,结果如下表所示:Use Matlab software to simulate the above method, and compare the running time of other broadband object orientation methods. The results are shown in the following table:

Figure BDA00002820930300033
Figure BDA00002820930300033

注:TCT为一种典型的相干信号处理方法Note: TCT is a typical coherent signal processing method

不难发现,本发明利用流型矩阵与传声器信号的正交关系,进行方位角搜索,即可得到运动目标的有效方位角估计。本发明的定向方法既无需对每一个频率点单独进行方位角估计,又无需将频率聚焦到参考频率后再进行方位角估计,从而大大减小运算复杂度。本发明在保证定向精度不变的前提下,极大的减小了运动目标方位角估计所需要的运算复杂度。It is not difficult to find that the present invention uses the orthogonal relationship between the flow pattern matrix and the microphone signal to search for the azimuth angle, so as to obtain the effective azimuth angle estimation of the moving target. The orientation method of the present invention does not need to separately estimate the azimuth angle for each frequency point, and does not need to focus the frequency to the reference frequency before performing the azimuth angle estimation, thereby greatly reducing the computational complexity. The present invention greatly reduces the computational complexity required for the estimation of the azimuth angle of the moving target under the premise of ensuring that the orientation accuracy remains unchanged.

Claims (5)

1. a micropore diameter acoustic array moving target orientation method, is characterized in that, comprises the following steps:
(1) select microphone array, determine the signal bandwidth B=f of moving target H-f L, wherein, f HBe the mxm. of signal bandwidth, f LMinimum for signal bandwidth;
(2) determine the flow pattern matrix, make the frequency parameter of flow pattern matrix
(3) utilize mathematical relation between flow pattern matrix and microphone array column signal, the position angle that obtains moving target by the angle searching mode is estimated.
2. micropore diameter acoustic array moving target orientation method according to claim 1, is characterized in that, satisfies between the signal bandwidth B of the maximum diameter of hole D of microphone array and moving target in described step (1)
Figure FDA00002820930200012
Wherein, V SoundBe the velocity of sound.
3. micropore diameter acoustic array moving target orientation method according to claim 1, is characterized in that, the normalization frequency spectrum that the frequency parameter f of the flow pattern matrix in described step (2) satisfies the signal broadband makes its probability density function standard deviation minimum.
4. micropore diameter acoustic array moving target orientation method according to claim 1, it is characterized in that, adopt multi-signal sorting algorithm in described step (3), beamforming algorithm, maximum likelihood algorithm or maximum entropy algorithm realize that the angle searching mode obtains the position angle estimation of moving target.
5. micropore diameter acoustic array moving target orientation method according to claim 1, is characterized in that, the microphone array in described step (1) is classified linear array, circle battle array, planar array or triangle battle array as.
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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103994820A (en) * 2014-04-21 2014-08-20 中国科学院上海微系统与信息技术研究所 Moving target identification method based on micro-aperture microphone array
CN104035065A (en) * 2014-06-23 2014-09-10 河北工业大学 Sound source orienting device on basis of active rotation and method for applying sound source orienting device
CN106526533A (en) * 2016-11-14 2017-03-22 中国科学院上海微系统与信息技术研究所 Microporous MEMS acoustic array sensor and use method thereof
CN108683972A (en) * 2014-10-20 2018-10-19 索尼公司 sound processing system

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101184328A (en) * 2007-04-18 2008-05-21 中国科学院上海微系统与信息技术研究所 Node Location Method for Wireless Sensor Networks
CN101349742A (en) * 2008-08-29 2009-01-21 西安电子科技大学 Optimizing the element spacing of wideband phased array and multi-target frequency and direction finding method in frequency domain
CN102435299A (en) * 2011-08-12 2012-05-02 中国科学院上海微系统与信息技术研究所 A Miniature Vibration Sensor Array and Its Application in Ground Target Tracking

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101184328A (en) * 2007-04-18 2008-05-21 中国科学院上海微系统与信息技术研究所 Node Location Method for Wireless Sensor Networks
CN101349742A (en) * 2008-08-29 2009-01-21 西安电子科技大学 Optimizing the element spacing of wideband phased array and multi-target frequency and direction finding method in frequency domain
CN102435299A (en) * 2011-08-12 2012-05-02 中国科学院上海微系统与信息技术研究所 A Miniature Vibration Sensor Array and Its Application in Ground Target Tracking

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
刘云: "目标定向及多波束实现", 《中国优秀博硕士学位论文全文数据库(硕士) 信息科技辑》 *
蒋敏 等: "多输入多输出阵列目标方位估计方法", 《系统工程与电子技术》 *

Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103994820A (en) * 2014-04-21 2014-08-20 中国科学院上海微系统与信息技术研究所 Moving target identification method based on micro-aperture microphone array
CN103994820B (en) * 2014-04-21 2016-05-11 中国科学院上海微系统与信息技术研究所 A kind of moving target recognition methods based on micropore diameter microphone array
CN104035065A (en) * 2014-06-23 2014-09-10 河北工业大学 Sound source orienting device on basis of active rotation and method for applying sound source orienting device
CN108683972A (en) * 2014-10-20 2018-10-19 索尼公司 sound processing system
US11172292B2 (en) 2014-10-20 2021-11-09 Sony Corporation Voice processing system
CN108683972B (en) * 2014-10-20 2022-08-09 索尼公司 Sound processing system
CN106526533A (en) * 2016-11-14 2017-03-22 中国科学院上海微系统与信息技术研究所 Microporous MEMS acoustic array sensor and use method thereof
CN106526533B (en) * 2016-11-14 2019-03-05 中国科学院上海微系统与信息技术研究所 A kind of micropore diameter MEMS acoustic matrix sensor and its application method

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Application publication date: 20130605