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The text surveys key milestones and future prospects, then develops preliminaries such as the source–filter model, feature extraction, Fourier and linear prediction approaches, time–frequency representations, and statistical classification using estimation and information-preserving transformations. It also addresses temporal invariance and stationarity via variational formulations and dynamic programming, and outlines linguistic taxonomy spanning phonetics, phonology, morphology, prosody, syntax, semantics, and pragmatics.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/mathematical-models-for-speech-technology-levinson/326736/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/mathematical-models-for-speech-technology-levinson/326736.png","ImageObject",300,407,{"name":92,"@type":93},"Asher","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-27","2026-09-21",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What foundational topics are covered in the preliminaries section?","Question",{"text":113,"@type":114},"The preliminaries develop the physics of speech production, the source–filter model, and information-bearing features of the speech signal, followed by time–frequency representations and acoustic pattern classification.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the book approach modeling speech signal features?",{"text":118,"@type":114},"It introduces Fourier methods and linear prediction via the Webster equation, then discusses information-preserving transformations and unsupervised density estimation with quantization.",{"name":120,"@type":111,"acceptedAnswer":121},"What modeling methods are used for temporal invariance and stationarity?",{"text":122,"@type":114},"Temporal invariance and stationarity are treated through a variational problem and a solution strategy using dynamic programming.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},326736,1790461518,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":146},687197207639,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Mathematical Models for Speech Technology  \nStephen E. Levinson  \nUniversity of Illinois at Urbana-Champaign, USA  \nMathematical Models for Speech Technology  \nMathematical Models for Speech Technology  \nStephen E. Levinson  \nUniversity of Illinois at Urbana-Champaign, USA  \nCopyright 􀀁 2005 John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester,  \nWest Sussex PO19 8SQ, England  \nTelephone (+44) 1243 779777  \nEmail (for orders and customer service enquiries): [cs-books@wiley.co.uk](cs-books@wiley.co.uk)  \nVisit our Home Page [on www.wiley.com](on www.wiley.com)  \nAll Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except under the terms of the Copyright, Designs and Patents Act 1988 or under the terms of a licence issued by the Copyright Licensing Agency Ltd, 90 Tottenham Court Road, London W1T 4LP, UK, without the permission in writing of the Publisher. Requests to the Publisher should be addressed to the Permissions Department, John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex PO19 8SQ, England, or emailed to [permreq@wiley.co.uk](permreq@wiley.co.uk), or faxed to (+44) 1243 770620.  \nThis publication is designed to provide accurate and authoritative information in regard to the subject matter covered. It is sold on the understanding that the Publisher is not engaged in rendering professional services. If professional advice or other expert assistance is required, the services of a competent professional should besought.  \nOther Wiley Editorial Offices  \nJohn Wiley & Sons Inc., 111 River Street, Hoboken, NJ 07030, USA Jossey-Bass, 989 Market Street, San Francisco, CA 94103-1741, USA Wiley-VCH Verlag GmbH, Boschstr. 12, D-69469 Weinheim, Germany  \nJohn Wiley & Sons Australia Ltd, 33 Park Road, Milton, Queensland 4064, Australia  \nJohn Wiley & Sons (Asia) Pte Ltd, 2 Clementi Loop \\#02-01, Jin Xing Distripark, Singapore 129809 John Wiley & Sons Canada Ltd, 22 Worcester Road, Etobicoke, Ontario, Canada M9W 1L1  \nWiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books.  \nLibrary of Congress Cataloging-in-Publication Data  \nLevinson, Stephen C.  \nMathematical models for speech technology / Stephen Levinson.  \n[p. cm](p. cm).  \nIncludes bibliographical references and index.  \nISBN 0-470-84407-8 (cloth)  \n1. Speech processing systems. 2. Computational linguistics. 3. Applied linguistics–Mathematics. 4. Stochastic processes. 5. Knowledge, Theory of. I. Title.  \nTK7882.S65L48 2005  \n006.4􀀁 54􀀁 015118–dc22  \n2004026215  \nBritish Library Cataloguing in Publication Data  \nA catalogue record for this book is available from the British Library ISBN 0-470-84407-8  \nTypeset in 10/12 Times by Laserwords Private Limited, Chennai, India  \nPrinted and bound in Great Britain by Antony Rowe Ltd, Chippenham, Wiltshire  \nThis book is printed on acid-free paper responsibly manufactured from sustainable forestry in which at least two trees are planted for each one used for paper production.  \nTo my parents Doris R. Levinson and  \nBenjamin A. Levinson  \nContents  \nPreface xi  \n1 Introduction 1  \n1.1 Milestones in the history of speech technology 1  \n1.2 Prospects for the future 3  \n1.3 Technical synopsis 4  \n2 Preliminaries 9  \n2.1 The physics of speech production 9  \n2.1. 1 The human vocal apparatus 9  \n2.1.2 Boundary conditions 14  \n2.1.3 Non-stationarity 16  \n2.1.4 Fluid dynamical effects 16  \n2.2 The source–filter model 17  \n2.3 Information-bearing features of the speech signal 17  \n2.3.1 Fourier methods 19  \n2.3. 2 Linear prediction and the Webster equation 21  \n2.4 Time–frequency representations 23  \n2.5 Classification of acoustic patterns in speech 27  \n2.5.1 Statistical decision theory 28  \n2.5.2 Estimation of class-conditional probability density functions 30  \n2.5.3 Inform","cbCaifXHjrISSbdS","https://ap.wps.com/l/cbCaifXHjrISSbdS","pdf",1680641,284,"English","# Preface\n# Introduction\n## Milestones in the history of speech technology\n## Prospects for the future\n## Technical synopsis\n# Preliminaries\n## The physics of speech production\n## The source–filter model\n## Information-bearing features of the speech signal\n## Time–frequency representations\n## Classification of acoustic patterns in speech\n## Temporal invariance and stationarity\n## Taxonomy of linguistic structure","[{\"question\":\"What foundational topics are covered in the preliminaries section?\",\"answer\":\"The preliminaries develop the physics of speech production, the source–filter model, and information-bearing features of the speech signal, followed by time–frequency representations and acoustic pattern classification.\"},{\"question\":\"How does the book approach modeling speech signal features?\",\"answer\":\"It introduces Fourier methods and linear prediction via the Webster equation, then discusses information-preserving transformations and unsupervised density estimation with quantization.\"},{\"question\":\"What modeling methods are used for temporal invariance and stationarity?\",\"answer\":\"Temporal invariance and stationarity are treated through a variational problem and a solution strategy using dynamic programming.\"}]","Mathematical Models for Speech Technology - Levinson | PDF",1789975224,716]