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| Fundamentals of Signals and Systems | |
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| Signals | |
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| Systems | |
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| Fourier Analysis of Discrete Time Signals | |
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| Fourier Analysis of Continuous Time Signals | |
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| Discrete Time Processing of Continuous Time Signals | |
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| Introduction | |
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| Structure of a Digital Filter | |
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| Frequency Domain Analysis of a Digital Filter | |
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| Quantization Errors | |
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| Prediction-Based Sampling Methods: Sigma and Sigma-Delta Modulation | |
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| Fourier Analysis of Discrete Time Signals | |
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| Introduction | |
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| Discrete Time Fourier Transform (DTFT) | |
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| Discrete Fourier Transform (DFT) | |
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| The DFT as an Estimate of the DTFT | |
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| DFT for Spectral Estimation | |
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| DFT for Convolution | |
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| DFT/DCT for Compression | |
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| The Fast Fourier Transform (FFT) | |
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| Digital Filters | |
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| Introduction | |
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| Ideal Versus Nonideal Filters | |
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| Finite Impulse Response (FIR) Filters | |
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| Infinite Impulse Response (IIR) Filters | |
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| Digital Filters Implementation | |
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| Introduction | |
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| Elementary Operations | |
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| State Space Realization of Digital Filters | |
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| Robust Implementation of Digital Filters | |
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| Robust Implementation of Equiripple FIR Filters | |
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| Multirate Digital Signal Processing: Fundamentals | |
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| Introduction | |
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| Statement of the Problem and Definitions | |
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| Analysis of Downsampling and Upsampling | |
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| Sampling Rate Conversion by a Rational Factor | |
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| Multistage Implementation of Digital Filters | |
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| Efficient Implementation of Multirate Systems | |
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| Application of Multirate DSP: Digital-to-Analog Conversion | |
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| Sampling Frequency and Quantization Error | |
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| DFT Filter Banks and Transmultiplexers | |
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| Introduction | |
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| DFT Filter Banks | |
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| Maximally Decimated DFT Filter Banks and Transmultiplexers | |
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| Transmultiplexers | |
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| Application of Transmultiplexers to Digital Communications Modulation | |
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| Maximally Decimated Filter Banks | |
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| Introduction | |
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| Vector Spaces | |
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| Two-Channel Perfect Reconstruction Conditions | |
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| Design of Perfect Reconstruction Filter Banks with Real Coefficients | |
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| Lattice Implementation of Orthonormal Filter Banks | |
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| Application to an Audio Signal | |
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| Time Frequency Expansion: An Introduction | |
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| Introduction | |
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| The Short Time Fourier Transform (STFT) | |
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| The Gabor Transform (GT) | |
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| The Wavelet Transform | |
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| Recursive Multiresolution Decomposition | |
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| Appendixes | |
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| Index | |