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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