Digital Signal Processing

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

• ISBN13: 9780132146357
• ISBN10: 0132146355
• Edition: 1st
• Format: Paperback
• Copyright: 1975-01-02
• Publisher: Pearson

Summary

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

Table of Contents

Preface	xi
Introduction	1	(5)
Discrete-Time Signals and Systems	6	(39)
Introduction	6	(2)
Discrete-Time Signals-Sequences	8	(3)
Linear Shift-Invariant Systems	11	(2)
Stability and Causality	13	(3)
Linear Constant-Coefficient Difference Equations	16	(2)
Frequency-Domain Representation of Discrete-Time Systems and Signals	18	(6)
Some Symmetry Properties of the Fourier Transform	24	(2)
Sampling of Continuous-Time Signals	26	(4)
Two-Dimensional Sequences and Systems	30	(15)
Summary	34	(1)
Problems	35	(10)
The Z-Transform	45	(42)
Introduction	45	(1)
z-Transform	45	(7)
Inverse z-Transform	52	(6)
z-Transform Theorems and Properties	58	(9)
System Function	67	(6)
Two-Dimensional Z-Transform	73	(14)
Summary	77	(1)
Problems	78	(9)
The Discrete Fourier Transform	87	(49)
Introduction	87	(1)
Representation of Periodic Sequences-The Discrete Fourier Series	88	(3)
Properties of the Discrete Fourier Series	91	(4)
Summary of Properties of the DFS Representation of Periodic Sequences	95	(1)
Sampling the z-Transform	96	(3)
Fourier Representation of Finite-Duration Sequences--The Discrete Fourier Transform	99	(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