Fourier Analysis of Stationary Random Signals: the Periodogram. Fourier Analysis of Nonstationary Signals. Block Convolution Using the Time-Dependent Fourier Transform. Fourier Analysis of Signals Using the DFT. Fourier Analysis of Signals Using the Discrete Fourier Transform. Practical Considerations Implementation of the DFT Using Convolution. The Goertzel Algorithm Decimation-in-Time FFT Algorithms. Efficient Computation of the Discrete Fourier Transform. Computation of the Discrete Fourier Transform. Linear Convolution Using the Discrete Fourier Transform. Summary of Properties of the Discrete Fourier Transform. Properties of the Discrete Fourier Transform. Fourier Representation of Finite-Duration Sequences: The Discrete-Fourier Transform. The Fourier Transform of Periodic Signals. Summary of Properties of the DFS Representation of Periodic Sequences. Representation of Periodic Sequences: the Discrete Fourier Series. Examples of FIR Equiripple Approximation. Examples of FIR Filter Design by the Kaiser Window Method. Design of Discrete-Time IIR Filters from Continuous-Time Filters. Zero-Input Limit Cycles in Fixed-Point Realizations of IIR Digital Filters. Effects of Roundoff Noise in Digital Filters. Overview of Finite-Precision Numerical Effects. Basic Network Structures for FIR Systems. Signal Flow Graph Representation of Linear Constant-Coefficient Difference Equations. Block Diagram Representation of Linear Constant-Coefficient Difference Equations. Linear Systems with Generalized Linear Phase. Relationship Between Magnitude and Phase. Frequency Response for Rational System Functions. System Functions for Systems Characterized by Linea. Transform Analysis of Linear Time-Invariant Systems.
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Changing the Sampling Rate Using Discrete-Time Processing. Continuous-Time Processing of Discrete-Time Signals.
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Discrete-Time Processing of Continuous-Time Signals. Reconstruction of a Bandlimited Signal from its Samples. Frequency-Domain Representation of Sampling. Properties of the Region of Convergence for the z-Transform. Symmetry Properties of the Fourier Transform. Representation of Sequence by Fourier Transforms. Frequency-Domain Representation of Discrete-Time Signals and Systems. Linear Constant-Coefficient Difference Equations. Properties of Linear Time-Invariant Systems. Bibliography Includes bibliographical references (p.