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© 2019

Array Processing

Kronecker Product Beamforming

Benefits

  • Explains how to perform beamforming with Kronecker product filters

  • Shows how to derive fixed, adaptive, and differential beamformers with remarkable flexibility

  • Helps overcome the problem of spatiotemporal signal enhancement using Kronecker product filtering

Book

Part of the Springer Topics in Signal Processing book series (STSP, volume 18)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 1-7
  3. Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 9-17
  4. Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 19-81
  5. Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 83-112
  6. Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 113-145
  7. Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 147-167
  8. Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 169-186
  9. Back Matter
    Pages 187-189

About this book

Introduction

The focus of this book is on array processing and beamforming with Kronecker products. It considers a large family of sensor arrays that allow the steering vector to be decomposed as a Kronecker product of two steering vectors of smaller virtual arrays. Instead of directly designing a global beamformer for the original array, once the steering vector has been decomposed, smaller virtual beamformers are designed and separately optimized for each virtual array. This means the matrices that need to be inverted are smaller, which increases the robustness of the beamformers, and reduces the size of the observations.

The book explains how to perform beamforming with Kronecker product filters using an unconventional approach. It shows how the Kronecker product formulation can be used to derive fixed, adaptive, and differential beamformers with remarkable flexibility. Furthermore, it demonstrates how fixed and adaptive beamformers can be intelligently combined, optimally exploiting the advantages of both. The problem of spatiotemporal signal enhancement is also addressed, and readers will learn how to perform Kronecker product filtering in this context.

Keywords

Microphone Arrays Uniform Linear Arrays Nonuniform Linear Arrays Rectangular Arrays Fixed Beamforming Adaptive Beamforming Differential Beamforming Kronecker Product Filter

Authors and affiliations

  1. 1.INRS-EMT, Suite 6900University of QuebecMontrealCanada
  2. 2.Department of Electrical EngineeringTechnion—Israel Institute of TechnologyHaifaIsrael
  3. 3.School of Marine Science and TechnologyNorthwestern Polytechnical UniversityXi'anChina

Bibliographic information

  • Book Title Array Processing
  • Book Subtitle Kronecker Product Beamforming
  • Authors Jacob Benesty
    Israel Cohen
    Jingdong Chen
  • Series Title Springer Topics in Signal Processing
  • Series Abbreviated Title Spr.Topics Signal Process.
  • DOI https://doi.org/10.1007/978-3-030-15600-8
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-030-15599-5
  • Softcover ISBN 978-3-030-15602-2
  • eBook ISBN 978-3-030-15600-8
  • Series ISSN 1866-2609
  • Series E-ISSN 1866-2617
  • Edition Number 1
  • Number of Pages XI, 189
  • Number of Illustrations 1 b/w illustrations, 0 illustrations in colour
  • Topics Signal, Image and Speech Processing
  • Buy this book on publisher's site
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