Digital Signal Processing

by ;
Edition: 1st
Format: Paperback
Pub. Date: 1975-01-02
Publisher(s): 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.

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

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