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Discrete-Time Signal Processing

ISBN-10: 013216292X

ISBN-13: 9780132162920

Edition: 1989

Authors: Alan V. Oppenheim, Ronald W. Schafer

List price: $88.00
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Book details

List price: $88.00
Copyright year: 1989
Publisher: Prentice Hall PTR
Binding: Hardcover
Pages: 640
Size: 7.50" wide x 9.75" long x 1.50" tall
Weight: 3.146
Language: English

Introduction
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
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
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
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
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
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
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
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
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 Nonstationary Signals
Fourier Analysis of Stationary Random Signals: the Periodogram
Spectrum Analysis of Random Signals Using Estimates of the Autocorrelation Sequence
Summary
Discrete Hilbert Transforms
Introduction
Real and Imaginary Part Sufficiency of the Fourier Transform for Causal Sequences
Sufficiency Theorems for Finite-Length Sequences
Relationships Between Magnitude and Phase
Hilbert Transform Relations for Complex Sequences
Summary
Random Signals
Discrete-Time Random Process
Averages
Properties of Correlation and Covariance Sequences
Transform Representation of Random Signals
Continuous-Time Filters
Butterworth Lowpass Filters
Chebyshev Filters
Elliptic Filters