Fundamentals of Differential Beamforming
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 use
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Jacob Benesty Jingdong Chen Chao Pan
Fundamentals of Differential Beamforming
123
SpringerBriefs in Electrical and Computer Engineering
More information about this series at http://www.springer.com/series/10059
Jacob Benesty Jingdong Chen Chao Pan •
Fundamentals of Differential Beamforming
123
Jacob Benesty INRS-EMT, University of Quebec Montreal, QC Canada
Chao Pan Northwestern Polytechnical University Xi’an China
Jingdong Chen Northwestern Polytechnical University Xi’an China
ISSN 2191-8112 ISSN 2191-8120 (electronic) SpringerBriefs in Electrical and Computer Engineering ISBN 978-981-10-1045-3 ISBN 978-981-10-1046-0 (eBook) DOI 10.1007/978-981-10-1046-0 Library of Congress Control Number: 2016937935 © The Author(s) 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Science+Business Media Singapore Pte Ltd.
Contents
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Microphone Array Beamforming: A Brief Overview 1.3 Differential Microphone Arrays . . . . . . . . . . . . . . . 1.4 Differential Beamforming in the STFT Domain . . . . 1.5 Organization of the Book . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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2 Problem Formulation. . . . . . . . . . . . . . . . . . . . . . . . 2.1 Signal Model . . . . . . . . . . . . . . . . . . . . . . . . . . 2.2 Beampatterns . . . . . . . . . . . . . . . . . . . . . . . . . . 2.3 Front-to-Back Ratios . . . . . . . . . . . . . . . . . . . . . 2.4 Signal-to-Noise Ratio Gains . . . . . . . . . . . . . . . . 2.5 Examples of Theoretical Differential Beamformers. References . . . . .
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