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Previous edition TOC | |
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 | |
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