Fundamentals of differential beamforming [electronic resource] / Jacob Benesty, Jingdong Chen, Chao Pan.
2016
TK7871.67.A33
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Title
Fundamentals of differential beamforming [electronic resource] / Jacob Benesty, Jingdong Chen, Chao Pan.
Author
ISBN
9789811010460 (electronic book)
9811010463 (electronic book)
9789811010453
9811010463 (electronic book)
9789811010453
Published
Singapore : Springer, 2016.
Language
English
Description
1 online resource (viii, 122 pages) : illustrations.
Item Number
10.1007/978-981-10-1046-0 doi
Call Number
TK7871.67.A33
Dewey Decimal Classification
621.382/2
Summary
This book provides a systematic study of the fundamental theory and methods of beamforming with differential microphone arrays (DMAs), or differential beamforming in short. It begins with a brief overview of differential beamforming and some popularly used DMA beampatterns such as the dipole, cardioid, hypercardioid, and supercardioid, before providing essential background knowledge on orthogonal functions and orthogonal polynomials, which form the basis of differential beamforming. From a physical perspective, a DMA of a given order is defined as an array that measures the differential acoustic pressure field of that order; such an array has a beampattern in the form of a polynomial whose degree is equal to the DMA order. Therefore, the fundamental and core problem of differential beamforming boils down to the design of beampatterns with orthogonal polynomials. But certain constraints also have to be considered so that the resulting beamformer does not seriously amplify the sensors' self noise and the mismatches among sensors. Accordingly, the book subsequently revisits several performance criteria, which can be used to evaluate the performance of the derived differential beamformers. Next, differential beamforming is placed in a framework of optimization and linear system solving, and it is shown how different beampatterns can be designed with the help of this optimization framework. The book then presents several approaches to the design of differential beamformers with the maximum DMA order, with the control of the white noise gain, and with the control of both the frequency invariance of the beampattern and the white noise gain. Lastly, it elucidates a joint optimization method that can be used to derive differential beamformers that not only deliver nearly frequency-invariant beampatterns, but are also robust to sensors' self noise.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 5, 2016).
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Series
SpringerBriefs in electrical and computer engineering.
Available in Other Form
Print version: 9789811010453
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Table of Contents
Introduction
Problem Formulation
Some Background
Performance Measures Revisited
Conventional Optimization
Beampattern Design
Joint Optimization.
Problem Formulation
Some Background
Performance Measures Revisited
Conventional Optimization
Beampattern Design
Joint Optimization.