Signal Enhancement with Variable Span Linear Filters
This book introduces readers to the novel concept of variable span speech enhancement filters, and demonstrates how it can be used for effective noise reduction in various ways. Further, the book provides the accompanying Matlab code, allowing readers to
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Jacob Benesty Mads G. Christensen Jesper R. Jensen
Signal Enhancement with Variable Span Linear Filters
Springer Topics in Signal Processing Volume 7
Series editors Jacob Benesty, Montreal, Canada Walter Kellermann, Erlangen, Germany
More information about this series at http://www.springer.com/series/8109
Jacob Benesty Mads G. Christensen Jesper R. Jensen •
Signal Enhancement with Variable Span Linear Filters
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Jacob Benesty INRS-EMT University of Quebec Montreal, Quebec Canada
Jesper R. Jensen Aalborg University Aalborg Denmark
Mads G. Christensen Aalborg University Aalborg Denmark
ISSN 1866-2609 ISSN 1866-2617 (electronic) Springer Topics in Signal Processing ISBN 978-981-287-738-3 ISBN 978-981-287-739-0 (eBook) DOI 10.1007/978-981-287-739-0 Library of Congress Control Number: 2016931188 © Springer Science+Business Media Singapore 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 SpringerNature The registered company is Springer Science+Business Media Singapore Pte Ltd.
Abstract
The problem of reducing the influence of additive noise on a desired signal occurs in many applications and systems, including also in speech communication systems like cell phones and Internet telephony where it is commonly referred to as speech enhancement. The problem is a difficult one as it is subject to often contradicting requirements, namely that the desired signal, i.e., the speech signal, should be left unharmed while the noise should, ideally, be removed altogether. In practice, it is thus often necessary to sacrifice the speech integrity to achieve a better reduction of the noise. In the classical Wiener filter, this is done in an implicit way, meaning that there is no direct control of the amount of distortion that is incurred on the speech signal. In the theory of optimal linear filtering (like the Wiener filter), the noise reduction problem is stated as a filter design problem while in subspace meth
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