Digital Filters and Signal Processing_ With MATLAB® Exercises .p....pdf

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Digital Filters and Signal Processing

Digital Filters and Signal Processing THIRD EDITION with MA TLAB® Exercises Leland B. Jackson University of Rhode Island .... " SPRINGER SCIENCE+BUSINESS MEDIA, LLC

Copyright 1996 © by Springer Science+Business Media New York Originally published by Kluwer Academic Publishers in 1996 Softcover reprint ofthe hardcover 3rd edition 1996 Fifth Printing 2002 All rights reserved. No pan of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, mechanical, photocopying, recording, or otherwise, without written permission of the publisher, Springer Science+ Business Media, LLC. Sections 6.1-6.3 ofthis text are taken largely from sections 7.1-7.3 of Signals, Systems and Trans/orms (pp. 372-400), Leland B. Jackson, © 1991 by Addison-Wesley Publishing Company, Inc. Reprinted by permission of the publisher. MATLAB is a registered trademark of the MathWorks, Inc. ISBN 978-1-4419-5153-3 DOI 10.1007/978-1-4757-2458-5 ISBN 978-1-4757-2458-5 (eBook) Consulting Editor: Jonathan Allen, Massachusetts Institute of Technology Library of Congress Cataloging-in-Publication Data Jackson, Leland B. Digital filters and signal processing: with MATLAB exercises I Leland B. Jackson. - 3rd ed. cm. p. Includes bibliographical references and index. 1. Electrical filters, Digital. 2. Signal processing-Digital techniques. TK7872.F5J33 621.382'2-dc20 95-3230 I. Tide. 1995 CIP

To my wife Diana and our daughter Anita

Contents Prefaee xi 1 / Introduetion: Tenninology and Motivation 2 / Diserete-Time Signals and Systems 2.0 Introduetion 2.1 Diserete-Time Signals, or Sequenees 2.2 Diserete-Time Systems and Filters 2.3 Stability and Causality Problems 3 / The z Transfonn 3.0 Introduetion 3.1 Definition of the z Transfonn 3.2 Inverse z Transfonn 3.3 Inverse z Transfonn for Causal Sequenees 3.4 Properties of the z Transfonn Problems 4 / Input/Output Relationships 4.0 Introduetion 4.1 System Funetion and Frequeney Response 4.2 Differenee Equations 4.3 Geometrie Evaluations of H(z) and H'(w) 4.4 State Variables Problems 1 5 5 5 8 21 24 29 29 29 39 41 47 51 55 55 55 59 63 73 86

viii Contents 5 / Discrete-Time Networks 5.0 Introduction 5.1 Flow Graph Properties 5.2 Network Structures 5.3 Properties of Network Coefficients 5.4 Special Discrete-Time Networks Problems 6/ Sampling and Fourier Analysis 6.0 Introduction 6.1 Discrete-Time Fourier Transform 6.2 Properties of the DTFT 6.3 Sampling 6.4 Quadrature Mirror Filters Problems 7 / Discrete Fourier Transform 7.0 Introduction 7.1 Derivation and Properties of the DFT 7.2 Zero Padding 7.3 Windows in Spectrum Analysis 7.4 FFT Algorithms 7.5 Prime-Factor FFT's 7.6 Periodogram Problems 8 / IIR Filter Design by Transformation 8.0 Introduction 8.1 Classical Filter Designs 8.2 Impulse-Invariant Transformation 8.3 Bilinear Transformation 8.4 Spectral Transformation Problems 9/ FIR Filter Design Techniques 9.0 Introduction 9.1 Window-Function Technique 9.2 Frequency-Sampling Technique 9.3 Equiripple Designs 9.4 Maximally-Flat Design Problems 95 95 95 100 110 121 129 139 139 140 145 152 174 180 189 189 189 196 203 213 227 237 244 249 249 250 260 264 277 284 289 289 290 301 307 314 318

10 / Filter Design by Modeling 10.0 Introduction 10.1 Autoregressive (all-pole) Filters 10.2 Moving-Average (all-zero) Filters 10.3 ARMA (pole/zero) Filters 10.4 Lattice Structures 10.5 Spectrum Analysis by Modeling Problems 11 / Quantization Effects 11.0 Introduction 11.1 Coefficient Quantization 11.2 Signal Quantization 11.3 Dynamic Range and Scaling 11.4 Parallel and Cascade Forms 11.5 Limit-Cyde Oscillations 11.6 State-Space Structures 11. 7 Error Feedback Problems 12 / Digital Filter Implementation 12.0 Introduction 12.1 Bit-Serial Arithmetic and VLSI 12.2 Distributed Arithmetic 12.3 Block IIR Implementations Problems 13 / Filter and Systems Examples 13.0 Introduction 13.1 Interpolation and Decimation 13.2 Hilben Transformation 13.3 Digital Oscillators and Synthesizers 13.4 Speech Synthesis 13.5 Cepstrum Problems Answers to Selected Problems References Index ix 323 323 326 341 345 356 362 369 373 373 374 382 387 392 405 409 418 422 427 427 427 437 440 448 451 451 451 462 465 469 473 483 487 491 499

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