Time Domain Spherical Harmonic Analysis for Adaptive Noise Cancellation over a Spatial Region

Active Noise Cancellation (ANC) is a well researched topic for minimizing unwanted acoustic noise, and spatial ANC is a recently introduced concept that focuses on continuous spatial regions. Adaptive filter designing for spatial ANC is often based on frequency-domain spherical harmonic decomposition method, which has a major limitation due to the increased system latency. In this paper, we develop a time-domain spherical harmonic based signal decomposition method and use it to develop two time-space domain feed-forward adaptive filters for spatial ANC. Through simulations we show that the proposed methods can achieve higher noise reduction performance over the control region with microphones located on the surface of the region compared to the conventional time-domain adaptive filter.

[1]  Jihui Zhang,et al.  Multichannel active noise control for spatially sparse noise fields. , 2016, The Journal of the Acoustical Society of America.

[2]  Martin Bouchard,et al.  Multichannel recursive-least-square algorithms and fast-transversal-filter algorithms for active noise control and sound reproduction systems , 2000, IEEE Trans. Speech Audio Process..

[3]  Boaz Rafaely,et al.  An adaptive and robust feedback controller for active control of sound and vibration , 1996 .

[4]  Jont B. Allen,et al.  Image method for efficiently simulating small‐room acoustics , 1976 .

[5]  Prasanga N. Samarasinghe,et al.  Recent Advances in Active Noise Control Inside Automobile Cabins: Toward quieter cars , 2016, IEEE Signal Processing Magazine.

[6]  Prasanga N. Samarasinghe,et al.  Sparse complex FxLMS for active noise cancellation over spatial regions , 2016, 2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[7]  Holography Book,et al.  Fourier Acoustics Sound Radiation And Nearfield Acoustical Holography , 2016 .

[8]  Sen M. Kuo,et al.  Active noise control: a tutorial review , 1999, Proc. IEEE.

[9]  Zhongxing Geng,et al.  The algorithm of interpolating windowed FFT for harmonic analysis of electric power system , 2001 .

[10]  Sen M. Kuo,et al.  Active Noise Control Systems: Algorithms and DSP Implementations , 1996 .

[11]  Prasanga N. Samarasinghe,et al.  Spatial noise cancellation inside cars: Performance analysis and experimental results , 2015, 2015 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA).

[12]  Allahyar Montazeri,et al.  Modeling and analysis of secondary sources coupling for active sound field reduction in confined spaces , 2017 .

[13]  Thushara D. Abhayapala,et al.  Reproduction of a plane-wave sound field using an array of loudspeakers , 2001, IEEE Trans. Speech Audio Process..

[14]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[15]  Prasanga N. Samarasinghe,et al.  Active Noise Control Over Space: A Wave Domain Approach , 2018, IEEE/ACM Transactions on Audio, Speech, and Language Processing.

[16]  N. J. A. Sloane,et al.  Tables of sphere packings and spherical codes , 1981, IEEE Trans. Inf. Theory.

[17]  Woon-Seng Gan,et al.  Recent advances on active noise control: open issues and innovative applications , 2012, APSIPA Transactions on Signal and Information Processing.

[18]  Thushara D. Abhayapala,et al.  Theory and design of high order sound field microphones using spherical microphone array , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[19]  Herbert H. H. Homeier,et al.  Some Properties of the Coupling Coefficients of Real Spherical Harmonics and Their Relation to Gaunt Coefficients , 1996 .

[20]  Toshio Inoue,et al.  Active control system for low-frequency road noise combined with an audio system , 2001, IEEE Trans. Speech Audio Process..

[21]  Sascha Spors,et al.  An approach to massive multichannel broadband feedforward active noise control using wave-domain adaptive filtering , 2007, 2007 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics.

[22]  Mikael Sternad,et al.  Extending the area silenced by active noise control using multiple loudspeakers , 2012, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[23]  Jacob Benesty,et al.  Frequency-domain adaptive filtering revisited, generalization to the multi-channel case, and application to acoustic echo cancellation , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[24]  F. Piazza,et al.  A Novel Approach to Active Noise Control Based on Wave Domain Adaptive Filtering , 2007, 2007 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics.