Fundamentals of Spherical Array Processing (2^nd Ed., Softcover reprint of the original 2nd ed. 2019) Springer Topics in Signal Processing Series, Vol. 16

This book provides a comprehensive introduction to the theory and practice of spherical microphone arrays, and was written for graduate students, researchers and engineers who work with spherical microphone arrays in a wide range of applications. The new edition includes additions and modifications, and references supplementary Matlab code to provide the reader with a straightforward start for own implementations. The book is also accompanied by a Matlab manual, which explains how to implement the examples and simulations presented in the book.

Subsequent chapters highlight various spherical array configurations, including the popular rigid-sphere-based configuration. Beamforming (spatial filtering) in the spherical harmonics domain, including axis-symmetric beamforming, and the performance measures of directivity index and white noise gain are introduced, and a range of optimal beamformers for spherical arrays, including those that achieve maximum directivity and maximum robustness are developed, along with the Dolph?Chebyshev beamformer. The final chapter discusses more advanced beamformers, such as MVDR (minimum variance distortionless response) and LCMV (linearly constrained minimum variance) types, which are tailored to the measured sound field.

Mathworks kindly distributes the Matlab sources for this book on https://www.mathworks.com/matlabcentral/fileexchange/68655-fundamentals-of-spherical-array-processing.

Mathematical background.- Acoustical Background.-Sampling the Sphere.- Spherical array configurations.- Spherical Array Beamforming.- Optimal beam pattern design.- Beamforming with noise minimization.

Presents cutting-edge theory and algorithms for spherical microphone arrays, including implementation examples and simulations with Matlab

Relevant for a broad range of applications in audio and acoustics, including speech communication, music recording, room acoustics, acoustic holography, virtual acoustics, and binaural sound reproduction

Is also relevant for other areas such as image processing and geodesy