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Digital Signal Processing

by: Oppenheim, Alan V.; Schafer, Ronald W.

Digital Signal Processing

by: Oppenheim, Alan V.; Schafer, Ronald W.

ISBN 13:
9780132146357
ISBN 10:
0132146355
Edition: 1st
Format: Paperback
Copyright: 01/02/1975
Publisher: Pearson

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Summary

Written by 2 foremost authorities, this well-respected reference discusses the processing of signals using digital techniques. Includes many useful applications.

Preface

Introduction

(5)

Discrete-Time Signals and Systems

(39)

Introduction

(2)

Discrete-Time Signals-Sequences

(3)

Linear Shift-Invariant Systems

(2)

Stability and Causality

(3)

Linear Constant-Coefficient Difference Equations

(2)

Frequency-Domain Representation of Discrete-Time Systems and Signals

(6)

Some Symmetry Properties of the Fourier Transform

(2)

Sampling of Continuous-Time Signals

(4)

Two-Dimensional Sequences and Systems

(15)

Summary

(1)

Problems

(10)

The Z-Transform

(42)

Introduction

(1)

z-Transform

(7)

Inverse z-Transform

(6)

z-Transform Theorems and Properties

(9)

System Function

(6)

Two-Dimensional Z-Transform

(14)

Summary

(1)

Problems

(9)

The Discrete Fourier Transform

(49)

Introduction

(1)

Representation of Periodic Sequences-The Discrete Fourier Series

(3)

Properties of the Discrete Fourier Series

(4)

Summary of Properties of the DFS Representation of Periodic Sequences

(1)

Sampling the z-Transform

(3)

Fourier Representation of Finite-Duration Sequences--The Discrete Fourier Transform

(2)

Properties of the Discrete Fourier Transform

101

(9)

Summary of Properties of the Discrete Fourier Transform

110

(1)

Linear Convolution Using the Discrete Fourier Transform

110

(5)

Two-Dimensional Discrete Fourier Transform

115

(21)

Summary

121

(1)

Problems

121

(15)

Flow Graph and Matrix Representation of Digital Filters

136

(59)

Introduction

136

(1)

Signal Flow Graph Representation of Digital Networks

137

(6)

Matrix Representation of Digital Networks

143

(5)

Basic Network Structures for IIR Systems

148

(5)

Transposed Forms

153

(2)

Basic Network Structures for FIR Systems

155

(10)

Parameter Quantization Effects

165

(8)

Tellegen's Theorem for Digital Filters and Its Applications

173

(22)

Summary

181

(1)

Problems

182

(13)

Digital Filter Design Techniques

195

(89)

Introduction

195

(2)

Design of IIR Digital Filters from Analog Filters

197

(14)

Design Examples: Analog-Digital Transformation

211

(19)

Computer-Aided Design of IIR Digital Filters

230

(7)

Properties of FIR Digital Filters

237

(2)

Design of FIR Filters Using Windows

239

(11)

Computer-Aided Design of FIR Filters

250

(18)

A Comparison of IIR and FIR Digital Filters

268

(16)

Summary

269

(2)

Problems

271

(13)

Computation of the Discrete Fourier Transform

284

(53)

Introduction

284

(3)

Goertzel Algorithm

287

(4)

Decimation-in-Time FFT Algorithms

291

(11)

Decimation-in-Frequency FFT Algorithms

302

(5)

FFT Algorithms for N a Composite Number

307

(8)

General Computational Considerations in FFT Algorithms

315

(6)

Chirp Z-Transform Algorithm

321

(16)

Summary

326

(2)

Problems

328

(9)

Discrete Hilbert Transforms

337

(39)

Introduction

337

(2)

Real- and Imaginary-part Sufficiency for Causal Sequences

339

(6)

Minimum-Phase Condition

345

(8)

Hilbert Transform Relations for the DFT

353

(5)

Hilbert Transform Relations for Complex Sequences

358

(18)

Summary

365

(2)

Problems

367

(9)

Discrete Random Signals

376

(28)

Introduction

376

(1)

A Discrte-Time Random Process

377

(5)

Averages

382

(6)

Spectrum Representations of Infinite-Energy Signals

388

(3)

Response of Linear Systems to Random Signals

391

(13)

Summary

395

(1)

Problems

395

(9)

Effects of Finite Register Length in Digital Signal Processing

404

(76)

Introduction

404

(2)

Effect on Number Representation on Quantization

406

(7)

Quantization in Sampling Analog Signals

413

(5)

Finite-Register-Length Effects in Realizations of IIR Digital Filters

418

(20)

Finite-Register-Length Effects in Realizations of FIR Digital Filters

438

(6)

Effects of Finite Register Length in Discrete Fourier Transform Computations

444

(36)

Summary

462

(2)

Problems

464

(16)

Homomorphic Signal Processing

480

(52)

Introduction

480

(1)

Generalized Superposition

481

(3)

Multiplicative Homomorphic System

484

(3)

Homomorphic Image Processing

487

(3)

Homomorphic Systems for Convolution

490

(10)

Properties of the Complex Cepstrum

500

(7)

Computational Realizations of the Characteristic Syste D

507

(4)

Applications of Homomorphic Deconvolution

511

(21)

Summary

527

(2)

Problems

529

(3)

Power Spectrum Estimation

532

(45)

Introduction

532

(1)

Basic Principles of Estimation Theory

533

(6)

Estimates of the Autocovariance

539

(2)

The Periodogram as an Estimate of the Power Spectrum

541

(7)

Smoothed Spectrum Estimators

548

(6)

Estimates of the Cross Covariance and Cross Spectrum

554

(1)

Application of the FFT in Spectrum Estimation

555

(7)

Example of Spectrum Estimation

562

(15)

Summary

571

(1)

Problems

571

(6)

Index

577

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Digital Signal Processing

Digital Signal Processing

9780132146357

0132146355

Summary

Table of Contents

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