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ELEMENTS OF ACOUSTIC PHONETICS 2 ND EDITION ..____, ELEMENTS or A(0USTI( PHONETICS Peter Ladefoged I H E U N I V E R S I T Y 0 F ( H I C I 6 0 F I E SS ( H I C I G 0 A N D l 0 N D ON '1'he University of Chicago Press, Chicago 60637 The University of Chicago Press, Ltd., London © 1962, 1996 by Peter Ladefoged All rights reserved. Published 1996 Printed in the United States of America 1009fl8D70605040302 345678 ISBN: @226-46763-s (cloth) 0-225-46764-s (paper) Library of Congress Cataloging-in-Publication Data Ladefoged, Peter. Elements of acoustic phonetics I Peter Ladefoged. - 2nd ed. p. cm. Includes bibliographical references and index. 1. Phonetics. Acoustic. I. Title. P221.5.L33 1996 612.7'8— dc20 95-9057 @The paper used in this publication meets the minimum require- ments of the American National Standard for Information Sciences-- Permanence of Paper for Printed Library Materials. AN5I 339-43-1992- CONTENTS Preface vii om: Sound Waves 1 TWO Loudness and Pitch 14 nmnn Quality 24 roux Wave Analysis 36 FIVE Resonance 57 srx Hearing 74 SEVEN The Production of Speech 92 am:-rr Resonances of the Vocal Tract 114 Nmra Digital Speech Processing 136 TEN Fourier Analysis 152 susvan Digital Elters and LPC Analysis 181 Iumax 215 ___s§§§__. PREFACE This is a new edition of Elements of Acoustic Phonetics, which provided, in seven short chapters, the basic aspects of acoustics that are important for the study of speech. A better title for the first edition might have been "Elements of Acoustics for Phoneticians," as it concen- trated on acoustics rather than phonetics. The present book has the same general aim. The basic elements of the subject have not changed in the forty years since the ear- lier version was written, so the first six chapters of the book have been updated only by small changes in tenni- nology and improved figures, drawn by special-purpose computer programs that make them more accurate. The seventh chapter has been expanded so as to take into ac- count our modem insights into the nature of speech, and an eighth chapter added that deals with more particular phonetic issues, such as resonances of the vocal tract and how formants are related to different cavities. Additional chapters describe the really new elements that have been added to acoustic phonetics, due to the use of computers. Chapter 9 explains how computers store sound waves and some basic aspects of computer speech processing. Chapters 10 and 11 go further into computer speech pro- cessing and are inevitably a little more complicated. But fill PREFACE without assuming any more than a vague knowledge of high school mathematics, they explain the equations used by computers in the two most common techniques for the analysis of speech sounds, Fourier analysis and Linear Predictive Coding. The aim of the book is still to give an accoumt of just those aspects of acoustics and digital speech processing that linguists and phoneficians need to know, without encumbering them with irrelevant material. Occasion- ally this has led to some oversimplification or the gloss- ing over of points that more sophisticated readers might feel important. I have left them out so that the average speech scientist or linguist for whom this book is in- tended does not become daunted by too many techni- calities. I have had considerable help in refining this book from numerous students. My colleagues Pat Keating and Abeer Alwan have also made helpful comments. I am particularly indebted to Lloyd Rice, Ned Neuburg, and Tom Crystal, who taught me much of what I know about digital signal processing. They suggested good ways of presenting this material and saved me from some major infelicities. As always, I am grateful to my wife, Ienny Ladefoged, for struggling through many drafts and con- stantly improving the wording of every paragraph (easy reading is damned hard writing, as P. G. Wodehouse once said). With all this help, Ihope the book provides a readable account of the elements of acoustic phonetics and the basic signal processing techniques used by computers for speech analysis. CHAPTER ONE Sound Waves O ne of the main difficulties of studying speech is that sounds are so fleeting and transient. As each word is uttered it ceases to exist. We can, it is true, recall the sounds, either by repeating the words or by using some form of recording. But in both these cases it is another event that is happening. It is a copy of the original sound, not the sound itself. Even during the brief existence of a sound it is curi- ously difficult to examine it. There is nothing that can be seen; there is no visible connecting link between a speaker and a listener. There is air around, but it is not normally possible to see any changes in the condition of the air when it is conveying a sound. Because of these difficulties, it is perhaps best to begin our study of sound with a brief examination of the hu- man ear. In this way we start with something tangible, for we know that the ear is the organ of hearing. Al- though there is still some uncertainty concerning the exact mechanism of the ear, we can nevertheless explain a number of facts about sound in terms of a simplified theory. figure 1.1 is a schematic diagram of the essential fea- tures of the ear. The first part to note is the eardrum, nerves connected to auditory sensation area of the brain I bone chain 1 . f /////,4, -_:_:__ I ' J ~. / - ., / _.;-_.-. eardrum _ , 4; .'_-232;‘-":_L3:i \ a J <-. -—" ' ‘ "inner ear filied with liquid middle ear I O Lil! I’ Gil‘ Pig. 1.1. A schematic diagram of the mechanism of the ear. which is a thin membrane just over an inch down the nar- row tube, or auditory passage, leading from the outer ear. When air is pushed down the auditory passage the eardrum tends to move with it; similarly it moves back as the air moves away. Connected to the eardrum is a d1ain of bones whose function is to transmit the movements of the eardrum to the liquid which is in the inner ear. Through the action of the bone chain the back»and-forth vibrations of the eardrum cause vibrations in the liquid. Closely linked with this liquid are the nerves which lead to the auditory sensation area of the brain. Movements of the liquid stimulate these nerves so that we experience the sensation of hearing. Bringing all these facts together, we may say that a sound is any disturbance of the air that could cause a displacement of the eardrum which, after transmission by the bone chain, could affect the liquid in

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