Superdirective beamforming based on spherical harmonic expansion on planar acoustic vector sensor arrays

The superdirective beamforming method based on spherical harmonic expansion is capable of generating a frequency-invariant three-dimensional (3D) beampattern. When applied to planar acoustic vector sensor arrays (PAVSAs), this method may yield a distorted beampattern. To rectify the issue of inaccur...

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Published in:Signal processing Vol. 230; p. 109836
Main Authors: Han, Mingqian, Guo, Junyuan
Format: Journal Article
Language:English
Published: Elsevier B.V 01.05.2025
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ISSN:0165-1684
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Abstract The superdirective beamforming method based on spherical harmonic expansion is capable of generating a frequency-invariant three-dimensional (3D) beampattern. When applied to planar acoustic vector sensor arrays (PAVSAs), this method may yield a distorted beampattern. To rectify the issue of inaccurate beampattern steering, the main lobe constraints are introduced to align the main lobe's steering direction with the intended direction. An optimized superdirective beamforming method is proposed by integrating the superdirective beamformer based on spherical harmonic expansion with the main lobe constraints. Then, a robust version of the proposed beamformer is also proposed by employing the white noise gain (WNG) constraint. The simulation results corroborate the theoretical analysis and substantiate the feasibility and superiority of the proposed methods.
AbstractList The superdirective beamforming method based on spherical harmonic expansion is capable of generating a frequency-invariant three-dimensional (3D) beampattern. When applied to planar acoustic vector sensor arrays (PAVSAs), this method may yield a distorted beampattern. To rectify the issue of inaccurate beampattern steering, the main lobe constraints are introduced to align the main lobe's steering direction with the intended direction. An optimized superdirective beamforming method is proposed by integrating the superdirective beamformer based on spherical harmonic expansion with the main lobe constraints. Then, a robust version of the proposed beamformer is also proposed by employing the white noise gain (WNG) constraint. The simulation results corroborate the theoretical analysis and substantiate the feasibility and superiority of the proposed methods.
ArticleNumber 109836
Author Guo, Junyuan
Han, Mingqian
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Cites_doi 10.1121/1.4934953
10.1109/TASSP.1987.1165054
10.1007/s11433-012-4915-2
10.1109/TASLP.2023.3256093
10.1109/TASLP.2022.3202127
10.1121/1.407515
10.1121/1.4876180
10.1121/1.4937759
10.1109/TASLP.2021.3053410
10.1121/1.5038275
10.1109/TASLP.2021.3103129
10.1121/10.0010535
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Keywords Superdirective beamforming
Planar acoustic vector sensor arrays
Spherical harmonic expansion
Main lobe constraints
Language English
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References Kates (bib0004) 1 October 1993; 94
Cox, Zeskind, Kooij (bib0001) June 1986; 34
Guo, Li, Piao, Gong, Zhang (bib0002) 1 May 2022; 2
Pan, Chen (bib0029) 2022; 30
Chen, Abhayapala, Zhang (bib0032) 2015; 138
Huang, Chen, Benesty (bib0012) 2018; 143
Meyer, Elko (bib0013) 2008
Boddi, Rosamilia, Aubry, De Maio (bib0026) June 2024; 8
Yang (bib0003) 2012; 131
Guo, Yang, Miron (bib0009) 2015; 138
Lan, Rosamilia, Aubry, De Maio, Liao (bib0025) 2023; 1
Elko, Meyer (bib0022) 2014
Chen, Benesty, Huang (bib0028) 2021; 29
Thng, Cantoni, Leung (bib0017) July 1993; 41
Abhayapala, Gupta (bib0014) Aug. 2010; 18
Aubry, Maio, Marano, Rosamilia (bib0023) 2020; 68
Zhao, Huang, Chen (bib0015) 2021; 29
Hawkes, Nehorai (bib0030) July 2001; 26
Rafaely (bib0011) 2015
Yang, Zhu (bib0007) 2012; 55
Jun-Yuan, Shi-E, Sheng-Chun, Ya-Xiao (bib0008) 2016; 65
Aubry, De Maio, Lan, Rosamilia (bib0024) 2023; 71
Meyer, Elko (bib0010) 2004
September 2013.
Cox, Zeskind, Owen (bib0031) October 1987; 35
Er, Cantoni (bib0016) December 1983; 31
Luo (bib0018) 2021
Horn, Johnson (bib0033) 2012
Michael Grant and Stephen Boyd. CVX: Matlab software for disciplined convex programming, version 2.0 beta.
Gur (bib0006) 2014; 135
Trucco, Traverso, Crocco (bib0027) 2013
Cox, Zeskind, Kooij (bib0005) June 1986; 34
Andrews (bib0035) 1999; 71
Luo, Huang, Jilu (bib0019) 2023
Teutsch (bib0020) 2007
Rafaely, Khaykin (bib0021) Sept. 2011; 19
Guo (10.1016/j.sigpro.2024.109836_bib0009) 2015; 138
Zhao (10.1016/j.sigpro.2024.109836_bib0015) 2021; 29
Cox (10.1016/j.sigpro.2024.109836_bib0001) 1986; 34
Thng (10.1016/j.sigpro.2024.109836_bib0017) 1993; 41
Cox (10.1016/j.sigpro.2024.109836_bib0031) 1987; 35
Huang (10.1016/j.sigpro.2024.109836_bib0012) 2018; 143
Jun-Yuan (10.1016/j.sigpro.2024.109836_bib0008) 2016; 65
Aubry (10.1016/j.sigpro.2024.109836_bib0024) 2023; 71
Er (10.1016/j.sigpro.2024.109836_bib0016) 1983; 31
Aubry (10.1016/j.sigpro.2024.109836_bib0023) 2020; 68
Lan (10.1016/j.sigpro.2024.109836_bib0025) 2023; 1
Boddi (10.1016/j.sigpro.2024.109836_bib0026) 2024; 8
Chen (10.1016/j.sigpro.2024.109836_bib0028) 2021; 29
Luo (10.1016/j.sigpro.2024.109836_bib0019) 2023
Guo (10.1016/j.sigpro.2024.109836_bib0002) 2022; 2
Teutsch (10.1016/j.sigpro.2024.109836_bib0020) 2007
Yang (10.1016/j.sigpro.2024.109836_bib0007) 2012; 55
Abhayapala (10.1016/j.sigpro.2024.109836_bib0014) 2010; 18
Trucco (10.1016/j.sigpro.2024.109836_bib0027) 2013
Pan (10.1016/j.sigpro.2024.109836_bib0029) 2022; 30
Gur (10.1016/j.sigpro.2024.109836_bib0006) 2014; 135
Hawkes (10.1016/j.sigpro.2024.109836_bib0030) 2001; 26
Andrews (10.1016/j.sigpro.2024.109836_bib0035) 1999; 71
Chen (10.1016/j.sigpro.2024.109836_bib0032) 2015; 138
Elko (10.1016/j.sigpro.2024.109836_bib0022) 2014
Cox (10.1016/j.sigpro.2024.109836_bib0005) 1986; 34
Kates (10.1016/j.sigpro.2024.109836_bib0004) 1993; 94
Luo (10.1016/j.sigpro.2024.109836_bib0018) 2021
Meyer (10.1016/j.sigpro.2024.109836_bib0010) 2004
Rafaely (10.1016/j.sigpro.2024.109836_bib0021) 2011; 19
Rafaely (10.1016/j.sigpro.2024.109836_bib0011) 2015
10.1016/j.sigpro.2024.109836_bib0034
Yang (10.1016/j.sigpro.2024.109836_bib0003) 2012; 131
Meyer (10.1016/j.sigpro.2024.109836_bib0013) 2008
Horn (10.1016/j.sigpro.2024.109836_bib0033) 2012
References_xml – year: 2012
  ident: bib0033
  article-title: Matrix Analysis
– volume: 71
  year: 1999
  ident: bib0035
  publication-title: Special Functions
– volume: 19
  start-page: 2234
  year: Sept. 2011
  end-page: 2238
  ident: bib0021
  article-title: Optimal Model-Based Beamforming and Independent Steering for Spherical Loudspeaker Arrays
  publication-title: IEEE Transactions on Audio, Speech, and Language Processing
– volume: 131
  start-page: 3484
  year: 2012
  ident: bib0003
  article-title: Directional pattern of a cross vector sensor array[J]
  publication-title: Journal of the Acoustical Society of America
– volume: 8
  year: June 2024
  ident: bib0026
  article-title: Iterative Calibration and Direction-of-Arrival Estimation for Uniform Circular Arrays Affected by Mutual Coupling
  publication-title: IEEE Sensors Letters
– volume: 41
  start-page: 2376
  year: July 1993
  end-page: 2388
  ident: bib0017
  article-title: Derivative constrained optimum broad-band antenna arrays
  publication-title: IEEE Transactions on Signal Processing
– volume: 26
  start-page: 337
  year: July 2001
  end-page: 347
  ident: bib0030
  article-title: Acoustic vector-sensor correlations in ambient noise
  publication-title: IEEE Journal of Oceanic Engineering
– volume: 29
  start-page: 2764
  year: 2021
  end-page: 2778
  ident: bib0015
  article-title: On the design of 3D steerable beamformers with uniform concentric circular microphone arrays[J]
  publication-title: IEEE/ACM. Trans. Audio Speech. Lang. Process.
– volume: 55
  start-page: 2338
  year: 2012
  end-page: 2346
  ident: bib0007
  article-title: Direction-of-arrival estimation for a uniform circular acoustic vector-sensor array mounted around a cylindrical baffle[J]
  publication-title: Science China Physics, Mechanics and Astronomy,
– start-page: 1221
  year: 2021
  end-page: 1225
  ident: bib0018
  article-title: Constrained Maximum Directivity Beamformers Based on Uniform Linear Acoustic Vector Sensor Arrays
  publication-title: 2021 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC)
– volume: 138
  start-page: 3873
  year: 2015
  end-page: 3883
  ident: bib0009
  article-title: Low-frequency beamforming for a miniaturized aperture three-by-three uniform rectangular array of acoustic vector sensors
  publication-title: J. Acoust. Soc. Am.
– start-page: 348
  year: 2007
  ident: bib0020
  article-title: Modal Array Signal Processing: Principles and Applications of Acoustic Wavefield Decomposition[J]
  publication-title: Lecture Notes in Control and Information Sciences
– volume: 35
  start-page: 1365
  year: October 1987
  end-page: 1376
  ident: bib0031
  article-title: Robust adaptive beamforming
  publication-title: IEEe Trans. Acoust.
– year: 2004
  ident: bib0010
  article-title: Spherical Microphone Arrays For 3D Sound Recording[J]
– reference: , September 2013.
– volume: 65
  year: 2016
  ident: bib0008
  article-title: Direction-of-arrival estimation based on superdirective multi-pole vector sensor array for low-frequency underwater sound sources
  publication-title: Acta Phys. Sin.
– volume: 30
  start-page: 2875
  year: 2022
  end-page: 2887
  ident: bib0029
  article-title: A Framework of Directional-Gain Beamforming and a White-Noise-Gain-Controlled Solution[J]
  publication-title: IEEE/ACM. Trans. Audio Speech. Lang. Process.
– volume: 34
  start-page: 393
  year: June 1986
  end-page: 398
  ident: bib0005
  article-title: Practical supergain
  publication-title: IEEE Transactions on Acoustics, Speech, and Signal Processing
– volume: 143
  start-page: 3024
  year: 2018
  end-page: 3035
  ident: bib0012
  article-title: A flexible high directivity beamformer with spherical microphone arrays
  publication-title: Journal of the Acoustical Society of America
– volume: 34
  start-page: 393
  year: June 1986
  end-page: 398
  ident: bib0001
  article-title: Practical supergain
  publication-title: IEEE Transactions on Acoustics, Speech, and Signal Processing
– year: 2015
  ident: bib0011
  article-title: Fundamentals of Spherical Array processing[M]
– volume: 31
  start-page: 1378
  year: December 1983
  end-page: 1393
  ident: bib0016
  article-title: Derivative constraints for broad-band element space antenna array processors
  publication-title: IEEE Transactions on Acoustics, Speech, and Signal Processing
– volume: 135
  start-page: 3463
  year: 2014
  end-page: 3473
  ident: bib0006
  article-title: Particle velocity gradient based acoustic mode beamforming for short linear vector sensor arrays[J]
  publication-title: J. Acoust. Soc. Am.
– reference: Michael Grant and Stephen Boyd. CVX: Matlab software for disciplined convex programming, version 2.0 beta.
– volume: 2
  year: 1 May 2022
  ident: bib0002
  article-title: Very low frequency three-dimensional beamforming for a miniaturized aperture acoustic vector sensor array
  publication-title: JASA Express Lett.
– volume: 68
  start-page: 6649
  year: 2020
  end-page: 6664
  ident: bib0023
  article-title: Single-Pulse Simultaneous Target Detection and Angle Estimation in a Multichannel Phased Array Radar
  publication-title: IEEE Transactions on Signal Processing
– volume: 94
  start-page: 1930
  year: 1 October 1993
  end-page: 1933
  ident: bib0004
  article-title: Superdirective arrays for hearing aids
  publication-title: J. Acoust. Soc. Am.
– volume: 29
  start-page: 838
  year: 2021
  end-page: 849
  ident: bib0028
  article-title: On the robustness of the superdirective beamformer[J]
  publication-title: IEEE/ACM. Trans. Audio Speech. Lang. Process.
– year: 2013
  ident: bib0027
  article-title: Robust superdirective end-fire arrays[J]
  publication-title: IEEE
– year: 2023
  ident: bib0019
  article-title: Design of Maximum Directivity Beamformers with Linear Acoustic Vector Sensor Arrays[J]
  publication-title: IEEE/ACM. Trans. Audio Speech. Lang. Process.
– volume: 138
  start-page: 3081
  year: 2015
  end-page: 3092
  ident: bib0032
  article-title: Theory and design of compact hybrid microphone arrays on two-dimensional planes for three-dimensional soundfield analysis
  publication-title: J. Acoust. Soc. Am.
– volume: 18
  start-page: 1655
  year: Aug. 2010
  end-page: 1666
  ident: bib0014
  article-title: Spherical Harmonic Analysis of Wavefields Using Multiple Circular Sensor Arrays
  publication-title: IEEE Transactions on Audio, Speech, and Language Processing
– start-page: 52
  year: 2014
  end-page: 56
  ident: bib0022
  article-title: Adaptive beamformer for spherical eigenbeamforming microphone arrays
  publication-title: 2014 4th Joint Workshop on Hands-free Speech Communication and Microphone Arrays (HSCMA)
– volume: 71
  start-page: 1248
  year: 2023
  end-page: 1262
  ident: bib0024
  article-title: Adaptive Radar Detection and Bearing Estimation in the Presence of Unknown Mutual Coupling
  publication-title: IEEE Transactions on Signal Processing
– start-page: 5280
  year: 2008
  end-page: 5283
  ident: bib0013
  article-title: Spherical harmonic modal beamforming for an augmented circular microphone array
  publication-title: 2008 IEEE International Conference on Acoustics, Speech and Signal Processing
– volume: 1
  start-page: 325
  year: 2023
  end-page: 338
  ident: bib0025
  article-title: Adaptive Target Detection and DOA Estimation With Uniform Rectangular Arrays in the Presence of Unknown Mutual Coupling
  publication-title: IEEE Transactions on Radar Systems
– volume: 138
  start-page: 3081
  issue: 5
  year: 2015
  ident: 10.1016/j.sigpro.2024.109836_bib0032
  article-title: Theory and design of compact hybrid microphone arrays on two-dimensional planes for three-dimensional soundfield analysis
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.4934953
– start-page: 52
  year: 2014
  ident: 10.1016/j.sigpro.2024.109836_bib0022
  article-title: Adaptive beamformer for spherical eigenbeamforming microphone arrays
– volume: 35
  start-page: 1365
  issue: 10
  year: 1987
  ident: 10.1016/j.sigpro.2024.109836_bib0031
  article-title: Robust adaptive beamforming
  publication-title: IEEe Trans. Acoust.
  doi: 10.1109/TASSP.1987.1165054
– volume: 55
  start-page: 2338
  year: 2012
  ident: 10.1016/j.sigpro.2024.109836_bib0007
  article-title: Direction-of-arrival estimation for a uniform circular acoustic vector-sensor array mounted around a cylindrical baffle[J]
  publication-title: Science China Physics, Mechanics and Astronomy,
  doi: 10.1007/s11433-012-4915-2
– start-page: 5280
  year: 2008
  ident: 10.1016/j.sigpro.2024.109836_bib0013
  article-title: Spherical harmonic modal beamforming for an augmented circular microphone array
– year: 2023
  ident: 10.1016/j.sigpro.2024.109836_bib0019
  article-title: Design of Maximum Directivity Beamformers with Linear Acoustic Vector Sensor Arrays[J]
  publication-title: IEEE/ACM. Trans. Audio Speech. Lang. Process.
  doi: 10.1109/TASLP.2023.3256093
– volume: 1
  start-page: 325
  year: 2023
  ident: 10.1016/j.sigpro.2024.109836_bib0025
  article-title: Adaptive Target Detection and DOA Estimation With Uniform Rectangular Arrays in the Presence of Unknown Mutual Coupling
– volume: 18
  start-page: 1655
  year: 2010
  ident: 10.1016/j.sigpro.2024.109836_bib0014
  article-title: Spherical Harmonic Analysis of Wavefields Using Multiple Circular Sensor Arrays
– volume: 30
  start-page: 2875
  year: 2022
  ident: 10.1016/j.sigpro.2024.109836_bib0029
  article-title: A Framework of Directional-Gain Beamforming and a White-Noise-Gain-Controlled Solution[J]
  publication-title: IEEE/ACM. Trans. Audio Speech. Lang. Process.
  doi: 10.1109/TASLP.2022.3202127
– volume: 94
  start-page: 1930
  issue: 4
  year: 1993
  ident: 10.1016/j.sigpro.2024.109836_bib0004
  article-title: Superdirective arrays for hearing aids
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.407515
– year: 2004
  ident: 10.1016/j.sigpro.2024.109836_bib0010
– ident: 10.1016/j.sigpro.2024.109836_bib0034
– volume: 71
  start-page: 1248
  year: 2023
  ident: 10.1016/j.sigpro.2024.109836_bib0024
  article-title: Adaptive Radar Detection and Bearing Estimation in the Presence of Unknown Mutual Coupling
– volume: 8
  year: 2024
  ident: 10.1016/j.sigpro.2024.109836_bib0026
  article-title: Iterative Calibration and Direction-of-Arrival Estimation for Uniform Circular Arrays Affected by Mutual Coupling
– volume: 71
  year: 1999
  ident: 10.1016/j.sigpro.2024.109836_bib0035
– volume: 135
  start-page: 3463
  issue: 6
  year: 2014
  ident: 10.1016/j.sigpro.2024.109836_bib0006
  article-title: Particle velocity gradient based acoustic mode beamforming for short linear vector sensor arrays[J]
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.4876180
– year: 2013
  ident: 10.1016/j.sigpro.2024.109836_bib0027
  article-title: Robust superdirective end-fire arrays[J]
  publication-title: IEEE
– volume: 34
  start-page: 393
  year: 1986
  ident: 10.1016/j.sigpro.2024.109836_bib0001
  article-title: Practical supergain
– year: 2015
  ident: 10.1016/j.sigpro.2024.109836_bib0011
– volume: 68
  start-page: 6649
  year: 2020
  ident: 10.1016/j.sigpro.2024.109836_bib0023
  article-title: Single-Pulse Simultaneous Target Detection and Angle Estimation in a Multichannel Phased Array Radar
– volume: 34
  start-page: 393
  year: 1986
  ident: 10.1016/j.sigpro.2024.109836_bib0005
  article-title: Practical supergain
– year: 2012
  ident: 10.1016/j.sigpro.2024.109836_bib0033
– volume: 138
  start-page: 3873
  issue: 6
  year: 2015
  ident: 10.1016/j.sigpro.2024.109836_bib0009
  article-title: Low-frequency beamforming for a miniaturized aperture three-by-three uniform rectangular array of acoustic vector sensors
  publication-title: J. Acoust. Soc. Am.
  doi: 10.1121/1.4937759
– volume: 65
  issue: 13
  year: 2016
  ident: 10.1016/j.sigpro.2024.109836_bib0008
  article-title: Direction-of-arrival estimation based on superdirective multi-pole vector sensor array for low-frequency underwater sound sources
  publication-title: Acta Phys. Sin.
– volume: 19
  start-page: 2234
  year: 2011
  ident: 10.1016/j.sigpro.2024.109836_bib0021
  article-title: Optimal Model-Based Beamforming and Independent Steering for Spherical Loudspeaker Arrays
– volume: 41
  start-page: 2376
  year: 1993
  ident: 10.1016/j.sigpro.2024.109836_bib0017
  article-title: Derivative constrained optimum broad-band antenna arrays
– volume: 29
  start-page: 838
  year: 2021
  ident: 10.1016/j.sigpro.2024.109836_bib0028
  article-title: On the robustness of the superdirective beamformer[J]
  publication-title: IEEE/ACM. Trans. Audio Speech. Lang. Process.
  doi: 10.1109/TASLP.2021.3053410
– volume: 143
  start-page: 3024
  issue: 5
  year: 2018
  ident: 10.1016/j.sigpro.2024.109836_bib0012
  article-title: A flexible high directivity beamformer with spherical microphone arrays
  publication-title: Journal of the Acoustical Society of America
  doi: 10.1121/1.5038275
– volume: 26
  start-page: 337
  year: 2001
  ident: 10.1016/j.sigpro.2024.109836_bib0030
  article-title: Acoustic vector-sensor correlations in ambient noise
– volume: 29
  start-page: 2764
  year: 2021
  ident: 10.1016/j.sigpro.2024.109836_bib0015
  article-title: On the design of 3D steerable beamformers with uniform concentric circular microphone arrays[J]
  publication-title: IEEE/ACM. Trans. Audio Speech. Lang. Process.
  doi: 10.1109/TASLP.2021.3103129
– start-page: 1221
  year: 2021
  ident: 10.1016/j.sigpro.2024.109836_bib0018
  article-title: Constrained Maximum Directivity Beamformers Based on Uniform Linear Acoustic Vector Sensor Arrays
– volume: 2
  issue: 5
  year: 2022
  ident: 10.1016/j.sigpro.2024.109836_bib0002
  article-title: Very low frequency three-dimensional beamforming for a miniaturized aperture acoustic vector sensor array
  publication-title: JASA Express Lett.
  doi: 10.1121/10.0010535
– volume: 31
  start-page: 1378
  year: 1983
  ident: 10.1016/j.sigpro.2024.109836_bib0016
  article-title: Derivative constraints for broad-band element space antenna array processors
– start-page: 348
  year: 2007
  ident: 10.1016/j.sigpro.2024.109836_bib0020
  article-title: Modal Array Signal Processing: Principles and Applications of Acoustic Wavefield Decomposition[J]
  publication-title: Lecture Notes in Control and Information Sciences
– volume: 131
  start-page: 3484
  issue: 4
  year: 2012
  ident: 10.1016/j.sigpro.2024.109836_bib0003
  article-title: Directional pattern of a cross vector sensor array[J]
  publication-title: Journal of the Acoustical Society of America
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Snippet The superdirective beamforming method based on spherical harmonic expansion is capable of generating a frequency-invariant three-dimensional (3D) beampattern....
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StartPage 109836
SubjectTerms Main lobe constraints
Planar acoustic vector sensor arrays
Spherical harmonic expansion
Superdirective beamforming
Title Superdirective beamforming based on spherical harmonic expansion on planar acoustic vector sensor arrays
URI https://dx.doi.org/10.1016/j.sigpro.2024.109836
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