Modified Particle Filtering Algorithm for Single Acoustic Vector Sensor DOA Tracking

The conventional direction of arrival (DOA) estimation algorithm with static sources assumption usually estimates the source angles of two adjacent moments independently and the correlation of the moments is not considered. In this article, we focus on the DOA estimation of moving sources and a modi...

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Published inSensors (Basel, Switzerland) Vol. 15; no. 10; pp. 26198 - 26211
Main Authors Li, Xinbo, Sun, Haixin, Jiang, Liangxu, Shi, Yaowu, Wu, Yue
Format Journal Article
LanguageEnglish
Published Switzerland MDPI AG 16.10.2015
MDPI
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ISSN1424-8220
1424-8220
DOI10.3390/s151026198

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Abstract The conventional direction of arrival (DOA) estimation algorithm with static sources assumption usually estimates the source angles of two adjacent moments independently and the correlation of the moments is not considered. In this article, we focus on the DOA estimation of moving sources and a modified particle filtering (MPF) algorithm is proposed with state space model of single acoustic vector sensor. Although the particle filtering (PF) algorithm has been introduced for acoustic vector sensor applications, it is not suitable for the case that one dimension angle of source is estimated with large deviation, the two dimension angles (pitch angle and azimuth angle) cannot be simultaneously employed to update the state through resampling processing of PF algorithm. To solve the problems mentioned above, the MPF algorithm is proposed in which the state estimation of previous moment is introduced to the particle sampling of present moment to improve the importance function. Moreover, the independent relationship of pitch angle and azimuth angle is considered and the two dimension angles are sampled and evaluated, respectively. Then, the MUSIC spectrum function is used as the “likehood” function of the MPF algorithm, and the modified PF-MUSIC (MPF-MUSIC) algorithm is proposed to improve the root mean square error (RMSE) and the probability of convergence. The theoretical analysis and the simulation results validate the effectiveness and feasibility of the two proposed algorithms.
AbstractList The conventional direction of arrival (DOA) estimation algorithm with static sources assumption usually estimates the source angles of two adjacent moments independently and the correlation of the moments is not considered. In this article, we focus on the DOA estimation of moving sources and a modified particle filtering (MPF) algorithm is proposed with state space model of single acoustic vector sensor. Although the particle filtering (PF) algorithm has been introduced for acoustic vector sensor applications, it is not suitable for the case that one dimension angle of source is estimated with large deviation, the two dimension angles (pitch angle and azimuth angle) cannot be simultaneously employed to update the state through resampling processing of PF algorithm. To solve the problems mentioned above, the MPF algorithm is proposed in which the state estimation of previous moment is introduced to the particle sampling of present moment to improve the importance function. Moreover, the independent relationship of pitch angle and azimuth angle is considered and the two dimension angles are sampled and evaluated, respectively. Then, the MUSIC spectrum function is used as the "likehood" function of the MPF algorithm, and the modified PF-MUSIC (MPF-MUSIC) algorithm is proposed to improve the root mean square error (RMSE) and the probability of convergence. The theoretical analysis and the simulation results validate the effectiveness and feasibility of the two proposed algorithms.
The conventional direction of arrival (DOA) estimation algorithm with static sources assumption usually estimates the source angles of two adjacent moments independently and the correlation of the moments is not considered. In this article, we focus on the DOA estimation of moving sources and a modified particle filtering (MPF) algorithm is proposed with state space model of single acoustic vector sensor. Although the particle filtering (PF) algorithm has been introduced for acoustic vector sensor applications, it is not suitable for the case that one dimension angle of source is estimated with large deviation, the two dimension angles (pitch angle and azimuth angle) cannot be simultaneously employed to update the state through resampling processing of PF algorithm. To solve the problems mentioned above, the MPF algorithm is proposed in which the state estimation of previous moment is introduced to the particle sampling of present moment to improve the importance function. Moreover, the independent relationship of pitch angle and azimuth angle is considered and the two dimension angles are sampled and evaluated, respectively. Then, the MUSIC spectrum function is used as the "likehood" function of the MPF algorithm, and the modified PF-MUSIC (MPF-MUSIC) algorithm is proposed to improve the root mean square error (RMSE) and the probability of convergence. The theoretical analysis and the simulation results validate the effectiveness and feasibility of the two proposed algorithms.The conventional direction of arrival (DOA) estimation algorithm with static sources assumption usually estimates the source angles of two adjacent moments independently and the correlation of the moments is not considered. In this article, we focus on the DOA estimation of moving sources and a modified particle filtering (MPF) algorithm is proposed with state space model of single acoustic vector sensor. Although the particle filtering (PF) algorithm has been introduced for acoustic vector sensor applications, it is not suitable for the case that one dimension angle of source is estimated with large deviation, the two dimension angles (pitch angle and azimuth angle) cannot be simultaneously employed to update the state through resampling processing of PF algorithm. To solve the problems mentioned above, the MPF algorithm is proposed in which the state estimation of previous moment is introduced to the particle sampling of present moment to improve the importance function. Moreover, the independent relationship of pitch angle and azimuth angle is considered and the two dimension angles are sampled and evaluated, respectively. Then, the MUSIC spectrum function is used as the "likehood" function of the MPF algorithm, and the modified PF-MUSIC (MPF-MUSIC) algorithm is proposed to improve the root mean square error (RMSE) and the probability of convergence. The theoretical analysis and the simulation results validate the effectiveness and feasibility of the two proposed algorithms.
Author Li, Xinbo
Sun, Haixin
Shi, Yaowu
Wu, Yue
Jiang, Liangxu
AuthorAffiliation 2 School of Electronic and Information Engineering, Changchun University, Weixing Road, No. 6543, Changchun 130022, China; E-Mail: haixin_s@hotmail.com
3 School of Mechanical Science and Engineering, Jilin University, Renmin Street No. 5988, Changchun 130022, China
1 School of Communication Engineering, Jilin University, Renmin Street No. 5988, Changchun 130022, China; E-Mails: cinple@126.com (X.L.); jiangalbert@126.com (L.J.); syw@jlu.edu.cn (Y.S.)
AuthorAffiliation_xml – name: 3 School of Mechanical Science and Engineering, Jilin University, Renmin Street No. 5988, Changchun 130022, China
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– name: 1 School of Communication Engineering, Jilin University, Renmin Street No. 5988, Changchun 130022, China; E-Mails: cinple@126.com (X.L.); jiangalbert@126.com (L.J.); syw@jlu.edu.cn (Y.S.)
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Issue 10
Keywords DOA tracking
acoustic vector sensor
importance function
particle filtering
Language English
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Snippet The conventional direction of arrival (DOA) estimation algorithm with static sources assumption usually estimates the source angles of two adjacent moments...
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StartPage 26198
SubjectTerms acoustic vector sensor
Acoustics
Algorithms
Batch processing
DOA tracking
Filtering
Filtration
importance function
Mathematical analysis
Mathematical models
Music
particle filtering
Sensors
Signal processing
Spread spectrum
Vectors (mathematics)
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Title Modified Particle Filtering Algorithm for Single Acoustic Vector Sensor DOA Tracking
URI https://www.ncbi.nlm.nih.gov/pubmed/26501280
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