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| Introduction | |
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| Signals, Systems, and Signal Processing | |
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| Classification of Signals | |
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| The Concept of Frequency in Continuous-Time and Discrete-Time Signals | |
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| Analog-to-Digital and Digital-to-Analog Conversion | |
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| Summary and References | |
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| Discrete-Time Signals And Systems | |
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| Discrete-Time Signals | |
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| Discrete-Time Systems | |
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| Analysis of Discrete-Time Linear Time-Invariant systems | |
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| Discrete-Time Systems Described by Difference Equations | |
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| Implementation of Discrete-Time Systems | |
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| Correlation of Discrete-Time Signals | |
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| Summary and References | |
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| The Z-Transform And Its Application To The Analysis Of Lti Systems | |
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| The z-Transform | |
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| Properties of the z-Transform | |
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| Rational z-Transforms | |
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| Inversion of the z-Transform | |
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| Analysis of Linear Time Invariant Systems in the z-Domain | |
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| The One-sided z-Transform | |
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| Summary and References | |
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| Frequency Analysis Of Signals And Systems | |
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| Frequency Analysis of Continuous-Time Signals | |
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| Frequency Analysis of Discrete-Time Signals | |
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| Frequency-Domain and Time-Domain Signal Properties | |
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| Properties of the Fourier Transform for Discrete-Time Signals | |
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| Summary and References | |
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| Frequency Domain Analysis Of Lti Systems | |
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| Frequency-Domain Characteristics of Linear Time-Invariant Systems | |
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| Frequency Response of LTI Systems | |
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| Correlation Functions and Spectra at the Output of LTI Systems | |
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| Linear Time-Invariant Systems as Frequency-Selective Filters | |
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| Inverse Systems and Deconvolution | |
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| Summary and References | |
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| Sampling And Reconstruction Of Signals | |
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| Ideal Sampling and Reconstruction of Continuous-Time Signals | |
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| Discrete-Time Processing of Continuous-Time Signals | |
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| Analog-to-Digital and Digital-to-Analog Converters | |
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| Sampling and Reconstruction of Continuous-Time Bandpass Signals | |
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| Sampling of Discrete-Time Signals | |
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| Oversampling A/D and D/A Converters | |
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| Summary and References | |
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| The Discrete Fourier Transform: Its Properties And Applications | |
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| Frequency Domain Sampling:The Discrete Fourier Transform | |
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| Properties of the DFT | |
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| Linear Filtering Methods Based on the DFT | |
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| Frequency Analysis of Signals Using the DFT | |
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| The Discrete Cosine Transform | |
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| Summary and References | |
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| Efficient Computaiton Of The Dft: Fast Fourier Transform Algorithms | |
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| Efficient Computation of the DFT: FFT Algorithms | |
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| Applications of FFT Algorithms | |
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| A Linear Filtering Approach to Computation of the DFT | |
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| Quantization Effects in the Computation of the DFT | |
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| Summary and References | |
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| Implementation Of Discrete-Time Systems | |
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| Structures for the Realization of Discrete-Time Systems | |
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| Structures for FIR Systems | |
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| Structures for IIR Systems | |
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| Representation of Numbers | |
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| Quantization of Filter Coefficients | |
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| Round-Off Effects in Digital Filters | |
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| Summary and References | |
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| Design Of Digital Filers | |
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| General Considerations | |
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| Design of FIR Filters | |
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| Design of IIR Filters From Analog Filters | |
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| Frequency Transformations | |
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| Summary and References | |
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| Multirate Digital Signal Processing | |
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| Introduction | |
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| Decimation by a Factor D | |
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| Interpolation by a Factor I | |
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| Sampling Rate Conversion by a Rational Factor I/D | |
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| Implementation of Sampling Rate Conversion | |
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| Multistage Implementation of Sampling Rate Conversion | |
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| Sampling Rate Conversion of Bandpass Signals | |
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| Sampling Rate conversion by an Arbitrary Factor | |
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| Applications of Sampling Rate Conversion | |
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| Digital Filter Banks | |
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| Two-Channel Quadrature Mirror Filter Bank | |
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| M-Channel QMF Bank | |
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| Summary and References | |
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| Linear Prediction And Optimum Linear Filters | |
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| Random Signals, Correlation Functions and Power Spectra | |
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| Innovations Representation of a Stationary Random Process | |
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| Forward and Backward Linear Prediction | |
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| Solution of the Normal Equations | |
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| Properties of the Linear Prediction-Error Filters | |
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| AR Lattice and ARMA Lattice-Ladder Filters | |
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| Wiener Filters for Filtering and Prediction | |
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| Summary and References | |
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| Adaptive Filters | |
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| Applications of Adaptive Filters | |
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| Adaptive Direct-Form FIR Filters-The LMS Algorithm | |
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| Adaptive Direct-Form FIR Filters-RLS Algorithms | |
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| Adaptive Lattice-Ladder Filters | |
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| Summary and References | |
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| Power Spectrum Estimation | |
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| Estimation of Spectra from Finite-Duration Observations of Signals | |
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| Nonparametric Methods for Power Spectrum Estimation | |
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| Parametric Methods for Power Spectrum Estimation | |
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| Filter Bank Methods | |
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| Eigenanalysis Algorithms for Spectrum Estimation | |
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| Summary and References | |
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| Appendices | |
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| Random Number Generators | |
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| Tables of Transition Coefficients for the Design of Linear-Phase Filters | |
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| References and Bibliography | |
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| Index | |