Canonical Correlation Analysis in Speech Enhancement
This book focuses on the application of canonical correlation analysis (CCA) to speech enhancement using the filtering approach. The authors explain how to derive different classes of time-domain and time-frequency-domain noise reduction filters, which ar
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Jacob Benesty Israel Cohen
Canonical Correlation Analysis in Speech Enhancement
SpringerBriefs in Electrical and Computer Engineering
More information about this series at http://www.springer.com/series/10059
Jacob Benesty Israel Cohen •
Canonical Correlation Analysis in Speech Enhancement
123
Jacob Benesty INRS-EMT University of Quebec Montréal, QC Canada
Israel Cohen Technion—Israel Institute of Technology Haifa Israel
ISSN 2191-8112 ISSN 2191-8120 (electronic) SpringerBriefs in Electrical and Computer Engineering ISBN 978-3-319-67019-5 ISBN 978-3-319-67020-1 (eBook) DOI 10.1007/978-3-319-67020-1 Library of Congress Control Number: 2017951191 © The Author(s) 2018 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
This book is dedicated to Tamar and to the memory of Steven L. Grant
Contents
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 Canonical Correlation Analysis and Speech Enhancement . . . 1.2 Organization of the Work . . . . . . . . . . . . . . . . . . . . . . . . . . . . References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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1 1 2 3
2 Canonical Correlation Analysis . 2.1 Preliminaries . . . . . . . . . . . . . 2.2 How CCA Works . . . . . . . . . 2.3 The Singular Case . . . . . . . . References . . . . . . . . . . . . . . . . . . .
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5 5 8 13 14
3 Single-Channel Speech Enhancement in the Time Domain . . . . . . . . 3.1 Signal Model and Problem Formulation . . . . . . . . . . . . . . . . . . . . . 3.2 Canonical Linear Filtering . . . . . . . . . .
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