Eigenvalues and condition numbers of random matrices
SIAM Journal on Matrix Analysis and Applications
IEEE Concurrency
Second-order differential adaptive microphone array
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Plane-wave decomposition of a sound scene using a cylindrical microphone array
ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
Intrinsic Limits of Dimensionality and Richness in Random Multipath Fields
IEEE Transactions on Signal Processing
Open-Sphere Designs for Spherical Microphone Arrays
IEEE Transactions on Audio, Speech, and Language Processing
Theory and Design of Soundfield Reproduction Using Continuous Loudspeaker Concept
IEEE Transactions on Audio, Speech, and Language Processing
The Spherical-Shell Microphone Array
IEEE Transactions on Audio, Speech, and Language Processing
Spatial Multizone Soundfield Reproduction: Theory and Design
IEEE Transactions on Audio, Speech, and Language Processing
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Successful recording of large spatial soundfields is a prevailing challenge in acoustic signal processing due to the enormous numbers of microphones required. This paper presents the design and analysis of an array of higher order microphones that uses 2D wavefield translation to provide a mode matching solution to the height invariant recording problem. It is shown that the use of $M$th order microphones significantly reduces the number of microphone units by a factor of $1/(2M + 1)$ at the expense of increased complexity at each microphone unit. Robustness of the proposed array is also analyzed based on the condition number of the translation matrix while discussing array configurations that result in low condition numbers. The white-noise gain (WNG) of the array is then derived to verify that improved WNG can be achieved when the translation matrix is well conditioned. Furthermore, the array’s performance is studied for interior soundfield recording as well as exterior soundfield recording using appropriate simulation examples.