Cover image for Discrete time signal processing
Title:
Discrete time signal processing
Personal Author:
Edition:
2nd ed.
Publication Information:
New Jersey : Prentice-Hall, 1999
ISBN:
9780137549207

9780130834430

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30000004504522 TK5102.5 O65 1999 Open Access Book Book
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Summary

Summary

MKT_DESCRIP: 'A text for an undergraduate or early graduate course for students with a background in advanced calculus, the elements of complex numbers, and variables. Revised from the 1989 edition not so much with new information, which has not changed much at the introductory level, bu


Table of Contents

1 Introduction
2 Discrete-Time Signals and Systems
Introduction
Discrete-time Signals: Sequences
Discrete-time Systems
Linear Time-Invariant Systems
Properties of Linear Time-Invariant Systems
Linear Constant-Coefficient Difference Equations
Frequency-Domain Representation of Discrete-Time Signals and Systems
Representation of Sequence by Fourier Transforms
Symmetry Properties of the Fourier Transform
Fourier Transform Theorems
Discrete-Time Random Signals
Summary
3 The z-Transform
Introduction
The z-Transform
Properties of the Region of Convergence for the z-Transform
The Inverse z-Transform
z-Transform Properties
Summary
4 Sampling of Continuous-Time Signals
Introduction
Periodic Sampling
Frequency-Domain Representation of Sampling
Reconstruction of a Bandlimited Signal from its Samples
Discrete-Time Processing of Continuous-Time Signals
Continuous-Time Processing of Discrete-Time Signals
Changing the Sampling Rate Using Discrete-Time Processing
Practical Considerations
Oversampling and Noise Shaping
Summary
5 Transform Analysis of Linear Time-Invariant Systems
Introduction
The Frequency Response of LTI Systems
System Functions for Systems Characterized by Linea
Frequency Response for Rational System Functions
Relationship Between Magnitude and Phase
All-Pass Systems
Minimum-Phase Systems
Linear Systems with Generalized Linear Phase
Summary
6 Structures for Discrete-Time Systems
Introduction
Block Diagram Representation of Linear Constant-Coefficient Difference Equations
Signal Flow Graph Representation of Linear Constant-Coefficient Difference Equations
Basic Structures for IIR Systems
Transposed Forms
Basic Network Structures for FIR Systems
Overview of Finite-Precision Numerical Effects
The Effects of Coefficient Quantization
Effects of Roundoff Noise in Digital Filters
Zero-Input Limit Cycles in Fixed-Point Realizations of IIR Digital Filters
Summary
7 Filter Design Techniques
Introduction
Design of Discrete-Time IIR Filters from Continuous-Time Filters
Design of FIR Filters by Windowing
Examples of FIR Filter Design by the Kaiser Window Method
Optimum Approximations of FIR Filters
Examples of FIR Equiripple Approximation
Comments on IIR and FIR Digital Filters
Summary
8 The Discrete Fourier Transform
Introduction
Representation of Periodic Sequences: the Discrete Fourier Series
Summary of Properties of the DFS Representation of Periodic Sequences
The Fourier Transform of Periodic Signals
Sampling the Fourier Transform
Fourier Representation of Finite-Duration Sequences: The Discrete-Fourier Transform
Properties of the Discrete Fourier Transform
Summary of Properties of the Discrete Fourier Transform
Linear Convolution Using the Discrete Fourier Transform
The Discrete Cosine Transform (DCT)
Summary
9 Computation of the Discrete Fourier Transform
Introduction
Efficient Computation of the Discrete Fourier Transform
The Goertzel Algorithm Decimation-in-Time FFT Algorithms
Decimation-in-Frequency FFT Algorithms
Practical Considerations Implementation of the DFT Using Convolution
Summary
10 Fourier Analysis of Signals Using the Discrete Fourier Transform
Introduction
Fourier Analysis of Signals Using the DFT
DFT Analysis of Sinusoidal Signals
The Time-Dependent Fourier Transform
Block Convolution Using the Time-Dependent Fourier Transform
Fourier Analysis of Nonsta