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Array Processing

Kronecker Product Beamforming

  • Book
  • © 2019

Overview

Authors:
  1. Jacob Benesty

    1. INRS-EMT, Suite 6900, University of Quebec, Montreal, Canada

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  2. Israel Cohen

    1. Department of Electrical Engineering, Technion—Israel Institute of Technology, Haifa, Israel

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  3. Jingdong Chen

    1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, China

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  • 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

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

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xi
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  2. Introduction

    • Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 1-7

  3. Problem Formulation with Uniform Linear Arrays

    • Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 9-17

  4. Beamforming with Uniform Linear Arrays

    • Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 19-81

  5. Generalization with Uniform Linear Arrays

    • Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 83-112

  6. Approach with Nonuniform Linear Arrays

    • Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 113-145

  7. Approach with Rectangular Arrays

    • Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 147-167

  8. Spatiotemporal Signal Enhancement

    • Jacob Benesty, Israel Cohen, Jingdong Chen
    Pages 169-186

  9. Back Matter

    Pages 187-189
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Keywords

About this book

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 theadvantages of both. The problem of spatiotemporal signal enhancement is also addressed, and readers will learn how to perform Kronecker product filtering in this context.

Authors and Affiliations

  • INRS-EMT, Suite 6900, University of Quebec, Montreal, Canada

    Jacob Benesty

  • Department of Electrical Engineering, Technion—Israel Institute of Technology, Haifa, Israel

    Israel Cohen

  • School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an, China

    Jingdong Chen

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

  • DOI: https://doi.org/10.1007/978-3-030-15600-8

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-15599-5Published: 08 March 2019

  • eBook ISBN: 978-3-030-15600-8Published: 28 February 2019

  • Series ISSN: 1866-2609

  • Series E-ISSN: 1866-2617

  • Edition Number: 1

  • Number of Pages: XI, 189

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Signal, Image and Speech Processing

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