Computer Explorations in SIGNALS AND SYSTEMS using Matlab.pdf-资料库

07916231-49b2-4c9a-ab37-a52d25b41b38.pdf-第1页.png

第1页 / 共218页

07916231-49b2-4c9a-ab37-a52d25b41b38.pdf-第2页.png

第2页 / 共218页

07916231-49b2-4c9a-ab37-a52d25b41b38.pdf-第3页.png

第3页 / 共218页

07916231-49b2-4c9a-ab37-a52d25b41b38.pdf-第4页.png

第4页 / 共218页

07916231-49b2-4c9a-ab37-a52d25b41b38.pdf-第5页.png

第5页 / 共218页

07916231-49b2-4c9a-ab37-a52d25b41b38.pdf-第6页.png

第6页 / 共218页

07916231-49b2-4c9a-ab37-a52d25b41b38.pdf-第7页.png

第7页 / 共218页

07916231-49b2-4c9a-ab37-a52d25b41b38.pdf-第8页.png

第8页 / 共218页

GNALS AND SPST I USING MATLAB" -I.: +-F;r . - *JOHN R. BUCK MICHAEL M. DANIEL' ANDREW C. SINGER

Lomputer Explorations in SIGNALS AND SYSTEMS

Alan V. Oppenheim, Series Editor Two Dimensional Imaging Signal Processing EDS. Advanced Topics in Signal Processing & RABINER Multirate Digital Signal Processing ANDREWS & HUNT Digital 11nage Restoration BRACEWELL BRIGHAM The Fast Fourier Transform and Its Applications BUCK, DANIEL, SINGER Computer Explorations in Signals and Systerns Using MATLAB BURDIC Underwater Acoustic System Analysis 2/E CASTLEMAN Digital Image Processing COHEN Time-Frequency Analysis CROCHIERE DUDGEON & MERSEREAU Multidernensional Digital Signal Processing HAYKIN Advances in Spectrum A~?alysis and Array Processing. Vol. I, I/ & 111 HAYKIN, ED Array Signal Processing JOHNSON & DUDGEON Array Signal Processing KAY Fundamentals of Statistical Signal Processing KAY Modern Spectral Estimation KINO Acoustic Waves: Devices, Imaging, and Analog Signal Processing LIM Two-Dimensional Signal and Image Processing LIM, ED. Speech Enhancement LIM & OPPENHEIM, MARPLE Digital Spectral Analysis with Applications MCCLELLAN & RADER Number Theory in Digital Signal Processing MENDEL Lessons in Estir~lation Theory for Signal Processing Cor~zrn~inications and Control 2/E NIKIAS & PETROPULU Higher Order Spectra Analysis OPPENHEIM & NAWAB Symbolic and Knowledge-Based Signal Processing OPPENHEIM & WILLSKY, WITH NAWAB Signals and Systenzs 2/E OPPENHEIM & SCHAFER Digital Signal Processing OPPENHEIM & SCHAFER Discrete-Time Signal Processing ORFAN~D~S PHILLIPS & NAGLE Digital Control Systems Analysis and Design, 3/E PICINBONO Randonz Signals and S.ystems RABINER & GOLD Theory and Applications of Digital Signal Processing RAB~NER & SCHAFER Digital Processing of Speech Signals RABINER & JUANG Fundamentals of Speech Recognition ROBINSON & TREITEL Geophysical Signal Analysis STEARNS & DAVID Signal Processing Algorithms in Fortran and C STEARNS & DAVID Signal Processing Algorithms in MATLAB TEKALP Digital Video Processing THERRIEN Discrete Random Signals and Statistical Signal Processing TRIBOLET Seismic Applications of Homonlorphic Signal Processing VETTERLI & KOVACEVIC Wavelets and Subband Coding VIADYANATHAN Multirate Systems and Filter Banks WIDROW & STEARNS Adaptive Signal Processing

Acquisition Editor: Alice Dworkin Production Editor: Carole Suraci Special Projects Manager: Barbara A. Murray Production Coordinator: Donna Sullivan Supplement Cover Manager: Paul Gourhan O 1997 by Prentice-Hall, Inc. Simon & Schuster I A Viacom Company Upper Saddle River, NJ 07458 All r~ghts reserved. No part of t h ~ s book may be reproduced, In any form or by any means, ~ o ~ - p e ~ m ~ s s ? ~ r ~ t ~ n ~ from the publ~sher. I . -- - I Printed in the United States of America 'C--- ISBN 0-13-732868-0 Prentice-Hall International (UK) Limited, London Prentice-Hall of Australia Pty. Limited, Sydney Prentice-Hall Canada, Inc., Toronto Prentice-Hall Hispanoamericana, S.A., Mexico Prentice-Hall of India Private Limited, New Delhi Prentice-Hall of Japan, Inc., Tokyo Simon & Schuster Asia Pte. Ltd., Singapore Editora Prentice-Hall do Brasil, Ltda., Rio de Janeiro

Contents 1 Signals and Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2 1.1 Tutorial: Basic MATLAB Functions for Representing Signals 1.2 Discrete-Time Sinusoidal Signals 7 1.3 Transformations of the Time Index for Discrete-Time Signals . . . . . . . . 8 10 1.4 Properties of Discrete-Time Systems 1.5 Implementing a First-Order Difference Equation 11 1.6 Continuous-Time Complex Exponential Signals @ 12 1.7 Transformations of the Time Index for Continuous-Time Signals @ . . . . . 14 1.8 Energy and Power for Continuous-Time Signals @ 16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Linear Time-Invariant Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 20 2.1 Tutorial: conv 2.2 Tutorial: f i l t e r 22 2.3 Tutorial: l s i m with Differential Equations . . . . . . . . . . . . . . . . . . . 26 2.4 Properties of Discrete-Time LTI Systems . . . . . . . . . . . . . . . . . . . . 29 . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.5 Linearity and Time-Invariance . . . . . . . . . . 34 2.6 Noncausal Finite Impulse Response Filters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 2.7 Discrete-Time Convolution . . . . . . . . . 38 2.8 Numerical Approximations of Continuous-Time 2.9 The Pulse Response of Continuous-Time LTI Systems . . . . . . . . . . . . 41 . . . . . . . . . . . . . . . . . . . . 44 2.10 Echo Cancellation via Inverse Filtering 3 Fourier Series Representation of Periodic Signals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 3.1 Tutorial: Computing the Discrete-Time Fourier Series with f f t . . . . . . . 47 3.2 Tutorial: freqz 51 3.3 Tutorial: l s i m with System Functions . . . . . . . . . . . . . . . . . . . . . 52 3.4 Eigenfunctions of Discrete-Time LTI Systems . . . . . . . . . . . . . . . . . 53 . . . . . . . . . 55 3.5 Synthesizing Signals with the Discrete-Time Fourier Series 3.6 Properties of the Continuous-Time Fourier Series . . . . . . . . . . . . . . . 57 3.7 Energy Relations in the Continuous-Time Fourier Series . . . . . . . . . . . 58 3.8 First-Order Recursive Discrete-Time Filters . . . . . . . . . . . . . . . . . . 59 3.9 Frequency Response of a Continuous-Time System . . . . . . . . . . . . . . 60 3.10 Computing the Discrete-Time Fourier Series . . . . . . . . . . . . . . . . . . 62

3.11 Synthesizing Continuous-Time Signals with the Fourier Series @ 3.12 The Fourier Representation of Square and Triangle Waves @ 3.13 Continuous-Time Filtering @ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 66 69 CONTENTS 4 The Continuous-Time Fourier Transform . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 71 4.1 Tutorial: freqs . . . 74 4.2 Numerical Approximation to the Continuous-Time Fourier Transform 76 4.3 Properties of the Continuous-Time Fourier Transform 79 4.4 Time- and Frequency-Domain Characterizations of Systems 81 4.5 4.6 Amplitude Modulation and the Continuous-Time Fourier Transform . . . . 83 4.7 Symbolic Computation of the Continuous-Time Fourier Transform @ . . . 86 Impulse Responses of Differential Equations by Partial Fraction Expansion . . . . . . . . . . . . . . . . . . . . . 5 The Discrete-Time Fourier Transform 5.1 Computing Samples of the DTFT 5.2 TelephoneTouch-Tone 5.3 Discrete-Time All-Pass Systems 5.4 Frequency Sampling: DTFT-Based Filter Design 5.5 System Identification 5.6 Partial Fraction Expansion for Discrete-Time Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Time and Frequency Analysis of Signals and Systems Image Processing with One-Dimensional Filters 6.1 A Second-Order Shock Absorber 6.2 6.3 Filter Design by Transformation 6.4 Phase Effects for Lowpass Filters 6.5 Frequency Division Multiple-Access 6.6 Linear Prediction on the Stock Market . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 90 93 96 97 99 101 105 106 110 114 117 118 121 125 126 128 131 134 136 138 143 144 147 149 152 156 7 Sampling 7.1 Aliasing due to Undersampling 7.2 Signal Reconstruction from Samples 7.3 Upsampling and Downsampling 7.4 Bandpass Sampling 7.5 Half-Sample Delay 7.6 Discrete-Time Differentiation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Communications Systems 8.1 The Hilbert Transform and Single-Sideband AM 8.2 Vector Analysis of Amplitude Modulation with Carrier 8.3 Amplitude Demodulation and Receiver Synchronization 8.4 8.5 Frequency Modulation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Intersymbol Interference in PAM Systems 9 The Laplace Transform 159 9.1 Tutorial: Making Continuous-Time Pole-Zero Diagrams . . . . . . . . . . . 159

CONTENTS 9.2 Pole Locations for Second-Order Systems 9.3 Butterworth Filters 9.4 Surface Plots of Laplace Transforms 9.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Implementing Noncausal Continuous-Time Filters 162 164 165 168 10 The z-Transform 173 174 10.1 Tutorial: Making Discrete-Time Pole-Zero Diagrams 176 10.2 Geometric Interpretation of the Discrete-Time F'requency Response 10.3 Quantization Effects in Discrete-Time Filter Structures 179 10.4 Designing Discrete-Time Filters with Euler Approximations . . . . . . . . . 183 10.5 Discrete-Time Butterworth Filter Design Using the Bilinear Transformation 186 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Feedback Systems 11.1 Feedback Stabilization: Stick Balancing 11.2 Stabilization of Unstable Systems 11.3 Using Feedback to Increase the Bandwidth of an Amplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 191 194 197

Preface This book provides computer exercises for an undergraduate course on signals and linear systems. Such a course or sequence of courses forms an important part of most engineering curricula. This book was primarily designed as a companion to the second edition of Signals and Systems by Oppenheim and Willsky with Nawab. While the sequence of chapter topics and the notation of this book match that of Signals and Systems, this book of exercises is self-contained and the coverage of fundamental theory and applications is sufficiently broad to make it an ideal companion to any introductory signals and systems text or course. We believe that assignments of computer exercises in parallel with traditional written problems can help readers to develop a stronger intuition and a deeper understanding of linear systems and signals. To this end, the exercises require the readers to compare the an- swers they compute in MATLAB@ with results and predictions made based on their analytic understanding of the material. We believe this approach actively challenges and involves the reader, providing more benefit than a passive computer demonstration. Wherever possible, the exercises have been divided into Basic, Intermediate, and Advanced Problems. In work- ing the problems, the reader progresses from fundamental theory to real applications such as speech processing, financial market analysis and designing mechanical or communication systems. Basic Problems provide detailed instructions for readers, guiding them through the issues explored, but still requiring a justification of their results. Intermediate Problems examine more sophisticated concepts, and demand more initiative from the readers in their use of MATLAB. Finally, Advanced Problems challenge the readers' understanding of the more subtle or complicated issues, often requiring open-ended work, writing functions, or processing real data. Some of the Advanced Problems in this category are appropriate for advanced undergraduate coursework on signals and systems. Care has been taken to ensure that almost all the exercises in this book can be completed within the limitations of the Student Edition of MATLAB 4.0, except for a few Advanced Problems which allow open-ended exploration if the user has access to a professional version of MATLAB. To assist readers, a list of MATLAB functions used in the text can be found in the index, which notes the exercise or page number in which they are explained. Throughout this book, MATLAB functions, commands, and variables will be indicated by typewriter f o n t . The @ symbol following the title of an exercise indicates that the exercise requires the Symbolic Math Toolbox. A number of exercises refer to functions or data files the reader will need. These are in the Computer Explorations Toolbox which is available from The Mathworks via The

资料库

Computer Explorations in SIGNALS AND SYSTEMS using Matlab.pdf

相关推荐

课程资源

热门标签

最新资料