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  • Book
  • © 2015

Fundamentals of Spherical Array Processing

Authors:

  • Presents cutting-edge theory and algorithms for spherical microphone arrays

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

  • Also relevant for other areas such as image processing and geodesy

  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Topics in Signal Processing (STSP, volume 8)

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eBook USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-662-45664-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-x
  2. Mathematical Background

    • Boaz Rafaely
    Pages 1-30
  3. Acoustical Background

    • Boaz Rafaely
    Pages 31-55
  4. Sampling the Sphere

    • Boaz Rafaely
    Pages 57-77
  5. Spherical Array Configurations

    • Boaz Rafaely
    Pages 79-99
  6. Spherical Array Beamforming

    • Boaz Rafaely
    Pages 101-123
  7. Optimal Beam Pattern Design

    • Boaz Rafaely
    Pages 125-153
  8. Beamforming with Noise Minimization

    • Boaz Rafaely
    Pages 155-182
  9. Back Matter

    Pages 183-193

About this book

This book provides a comprehensive introduction to the theory and practice of spherical microphone arrays. It is written for graduate students, researchers and engineers who work with spherical microphone arrays in a wide range of applications.

 

The first two chapters provide the reader with the necessary mathematical and physical background, including an introduction to the spherical Fourier transform and the formulation of plane-wave sound fields in the spherical harmonic domain.

The third chapter covers the theory of spatial sampling, employed when selecting the positions of microphones to sample sound pressure functions in space. Subsequent chapters present 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 beamformers that achieve maximum directivity and maximum robustness, and the Dolph-Chebyshev beamformer are developed. The final chapter discusses more advanced beamformers, such as MVDR and LCMV, which are tailored to the measured sound field.

Keywords

  • Linearly constrained minimum variance (LCMV)
  • Microphone arrays
  • Minimum variance distortionless response (MVDR)
  • Optimal beamforming
  • Plane-wave decomposition
  • Rigid sphere array
  • Spatial sampling
  • Spherical Fourier Transform
  • Spherical Harmonics
  • Spherical array beamforming
  • Spherical array configurations
  • Spherical arrays
  • Spherical microphone arrays

Authors and Affiliations

  • Department of Electrical and Computer Engineering, Ben-Gurion University of the Negev, Beer-Sheva, Israel

    Boaz Rafaely

Bibliographic Information

  • Book Title: Fundamentals of Spherical Array Processing

  • Authors: Boaz Rafaely

  • Series Title: Springer Topics in Signal Processing

  • DOI: https://doi.org/10.1007/978-3-662-45664-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2015

  • eBook ISBN: 978-3-662-45664-4Published: 18 February 2015

  • Series ISSN: 1866-2609

  • Series E-ISSN: 1866-2617

  • Edition Number: 1

  • Number of Pages: X, 193

  • Number of Illustrations: 5 b/w illustrations, 71 illustrations in colour

  • Topics: Signal, Speech and Image Processing , Engineering Acoustics

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • ISBN: 978-3-662-45664-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout