Cosine-/Sine-Modulated Filter Banks General Properties, Fast Algorit
This book covers various algorithmic developments in the perfect reconstruction cosine/sine-modulated filter banks (TDAC-MDCT/MDST or MLT, MCLT, low delay MDCT, complex exponential/cosine/sine-modulated QMF filter banks), and near-perfect reconstruction Q
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ine-/SineModulated Filter Banks General Properties, Fast Algorithms and Integer Approximations
Cosine-/Sine-Modulated Filter Banks
Vladimir Britanak • K.R. Rao
Cosine-/Sine-Modulated Filter Banks General Properties, Fast Algorithms and Integer Approximations
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Vladimir Britanak Institute of Informatics Slovak Academy of Sciences Bratislava, Slovakia
K.R. Rao The University of Texas at Arlington Arlington, TX, USA
ISBN 978-3-319-61078-8 ISBN 978-3-319-61080-1 (eBook) DOI 10.1007/978-3-319-61080-1 Library of Congress Control Number: 2017943966 © Springer International Publishing AG 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
Preface
Analysis and synthesis cosine-/sine-modulated filter banks are perfect reconstruction filter banks that are used for the time-to-frequency transformation of an audio data block, and vice versa, many sub-band/transform-based schemes for high-quality lossy/lossless compression of digital audio signals. These include the modified discrete cosine and sine transforms, the modulated lapped transforms, the extended lapped transforms, the low delay modified discrete cosine transform, the modulated complex lapped transform, and various forms of (low delay) complex exponential-modulated and real-valued cosine-modulated quadrature mirror filter banks. The perfect reconstruction cosine-/sine-modulated filter banks are fundamental processing components in many state-of-the-art international audio coding standards and in proprietary audio compression algorithms, broadcasting/speech/data communication codecs, and open-source royalty free audio/speech codecs. In general, the computation of the complete perfect
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