Comparison of the measured and theoretical performance of a broadband circular microphone array.

The design and construction of a circular microphone array (CMA) that has a wide frequency range suitable for human hearing is presented. The design of the CMA was achieved using a technique based on simulated directivity index (DI) curves. The simulated DI curves encapsulate the critical microphone array performance limitations: spatial aliasing, measurement noise, and microphone placement errors. This paper demonstrates how the non-regularized DI curves for a given beamforming order clearly define the bandwidth of operation, in other words, the frequency band for which the beamformer has relatively constant and maximum directivity. Detailed and comprehensive experimental data that characterizes the CMA beamformer are also presented.

[1]  Mark A. Poletti,et al.  A Unified Theory of Horizontal Holographic Sound Systems , 2000 .

[2]  B. Carlson Covariance matrix estimation errors and diagonal loading in adaptive arrays , 1988 .

[3]  Ramani Duraiswami,et al.  Flexible and Optimal Design of Spherical Microphone Arrays for Beamforming , 2007, IEEE Transactions on Audio, Speech, and Language Processing.

[4]  Nikos D. Sidiropoulos,et al.  Convex Optimization-Based Beamforming , 2010, IEEE Signal Processing Magazine.

[5]  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.

[6]  Jens Meyer,et al.  Beamforming for a circular microphone array mounted on spherically shaped objects , 2001 .

[7]  Gary W. Elko,et al.  Spherical Microphone Arrays for 3D Sound Recording , 2004 .

[8]  Boaz Rafaely,et al.  Phase-mode versus delay-and-sum spherical microphone array processing , 2005, IEEE Signal Processing Letters.

[9]  Ramani Duraiswami,et al.  Plane-Wave Decomposition of Acoustical Scenes Via Spherical and Cylindrical Microphone Arrays , 2010, IEEE Transactions on Audio, Speech, and Language Processing.

[10]  A. van Schaik,et al.  Measured and theoretical performance comparison of a co-centred rigid and open spherical microphone array , 2008, 2008 International Conference on Audio, Language and Image Processing.

[11]  Michael A. Gerzon,et al.  Ambisonics in Multichannel Broadcasting and Video , 1985 .

[12]  David Sun,et al.  The Design and Evaluation of an Economically Constructed Anechoic Chamber , 2009 .

[13]  Boaz Rafaely,et al.  Analysis and design of spherical microphone arrays , 2005, IEEE Transactions on Speech and Audio Processing.

[14]  Gary W. Elko,et al.  A highly scalable spherical microphone array based on an orthonormal decomposition of the soundfield , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[15]  Hugh Griffiths,et al.  Phase mode processing for spherical antenna arrays , 2003 .