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| Continuous-Time (CT), Discrete-Time (DT), and Digital Signals | |
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| Representation of Digital Signals | |
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| A/D and D/A Conversions | |
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| Comparison of Digital and Analog Techniques | |
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| Applications of Digital Signal Processing | |
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| Scope of the Book | |
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| Spectral Computation | |
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| CT and DT Fourier Series--Frequency components | |
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| Introduction | |
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| Frequency and Frequency Range of Sinusoidal Sequences | |
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| Frequencies of CT Sinusoids and Their Sampled Sequences | |
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| Continuous-Time Fourier Series (CTFS) | |
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| Discrete-Time Fourier Series (DTFS) | |
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| FFT Computation of DTFS Coefficients | |
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| FFT Computation of CTFS Coefficients | |
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| Average Power and Its Computation | |
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| Concluding Remarks | |
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| CT and DT Fourier Transforms--Frequency Spectra | |
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| Introduction | |
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| CT Fourier Transform (CTFT) | |
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| Properties of Frequency Spectra | |
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| Distribution of Energy in Frequencies | |
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| Effects of Truncation | |
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| DT Fourier Transform (DTFT) | |
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| Effects of Truncation | |
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| Nyquist Sampling Theorem | |
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| Time-limited Bandlimited Theorem | |
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| DFT and FFT--Spectral Computation | |
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| Introduction | |
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| Discrete Fourier Transform (DFT) | |
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| Properties of DFT | |
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| Properties of DFT | |
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| Fast Fourier Transform (FFT) | |
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| Spectral Computation of Finite Sequences | |
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| Spectral Computation of CT Signals | |
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| Computing DT Signals from Spectra | |
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| Computing Energy Using FFT | |
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| Concluding Remarks | |
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| Filter Design | |
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| Linear Time-Invariant Lumped Systems | |
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| Introduction | |
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| Linearity and Time Invariance | |
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| LTIL Systems--Difference Equations | |
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| z-Transform | |
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| Transfer Functions | |
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| Stability | |
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| Frequency Response | |
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| Continuous-Time LTIL Systems | |
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| CT Transfer Function, Stability, and Frequency Response | |
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| Concluding Remarks | |
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| Ideal and Some Practical Digital Filters | |
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| Introduction | |
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| Ideal Digital Filters | |
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| Realizability | |
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| First-Order Digital Filters | |
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| Reciprocal Roots and All-Pass Filters | |
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| Miscellaneous Topics | |
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| Analog Ideal Low-Pass Filters | |
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| Design of FIR Filters | |
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| Introduction | |
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| Classification of Linear-Phase FIR Filters | |
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| Least-Square Optimal Filters--Direct Truncation | |
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| Window Method | |
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| Desired Filters with Specified Transition Bands | |
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| Discrete Least-Squares Optimal FIR Filters | |
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| Minimax Optimal FIR Filters | |
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| Design of Digital Differentiators | |
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| Hilbert Transformers | |
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| A Design Example | |
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| Design of IIR Filter Design | |
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| Introduction | |
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| Difficulties in Direct IIR Filter Design | |
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| Design of Analog Prototype Filters | |
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| Analog Frequency Transformations | |
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| Impulse Invariance Method | |
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| Bilinear Transformation | |
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| Analog-Prototype-to-Digital Transformations | |
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| Comparisons with FIR Filters | |
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| Structures of Digital Filters | |
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| Introduction | |
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| Direct Form of FIR Filters | |
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| DFT of Periodic Convolutions | |
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| Direct and Canonical Forms of IIR Filters | |
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| Effects of Filter Coefficient Quantizations | |
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| Cascade and Parallel Implementations | |
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| Appendix: The Impulse | |
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| References | |
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| Index | |