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Array Processing [electronic resource] : Kronecker Product Beamforming / by Jacob Benesty, Israel Cohen, Jingdong Chen.

By: Benesty, Jacob [author.].
Contributor(s): Cohen, Israel [author.] | Chen, Jingdong [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Springer Topics in Signal Processing: 18Publisher: Cham : Springer International Publishing : Imprint: Springer, 2019Edition: 1st ed. 2019.Description: XI, 189 p. 1 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783030156008.Subject(s): Signal processing | Signal, Speech and Image ProcessingAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 621.382 Online resources: Click here to access online
Contents:
Introduction -- Problem Formulation with Uniform Linear Arrays -- Beamforming with Uniform Linear Arrays -- Generalization with Uniform Linear Arrays -- Approach with Nonuniform Linear Arrays -- Approach with Rectangular Arrays -- Spatiotemporal Signal Enhancement.
In: Springer Nature eBookSummary: 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.
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Introduction -- Problem Formulation with Uniform Linear Arrays -- Beamforming with Uniform Linear Arrays -- Generalization with Uniform Linear Arrays -- Approach with Nonuniform Linear Arrays -- Approach with Rectangular Arrays -- Spatiotemporal Signal Enhancement.

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.

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