Digital Filter Design
Description: FIR and IIR digital filter design. General concepts, frequency
and time domain analysis using fast Fourier transforms. Classical
filters and digital transformations.
Textbook: C.S. Lindquist, Adaptive & Digital Signal Processing, Steward & Sons,
CA, 1989.
Chapter Topic
1 General Concepts: Discrete filter components, sampling
theorem, Laplace transform, Fourier transform, z-transform.
Linearity, stability, and causality. Signal flow graphs,
sensitivity, root locus, and random signals.
2 Frequency Domain Analysis: Discrete and fast Fourier transform
(DFT and FFT). Time and frequency domain windowing.
3 Time Domain Analysis: Inverse DFT and inverse FFT. Inter-
polators including Lagrange, lowpass filter, and Fourier
series. Distortion due to nonzero sample duration and signal
truncation. Window size adjustment and constant time delay
filters.
4 Ideal Filter Response: Classical filters.
5 Digital Transformations: Euler, bilinear, lossless, optimum,
and invariant transformations. Analog-to-digital system
conversion.
7 Digital Filter Classification: Fast transform, nonrecursive,
and recursive filter design.
10 Nonrecursive Filter Design: Fourier series, weighted Fourier
series, frequency sampling design. Numerical analysis methods.
Adaptive algorithms and FIR adaptive filter design.
11 Recursive Filter Design: Frequency transformation, invariant
time domain, and matched Z-transform design. More numerical
integration algorithms. Adaptive algorithms and Kalman filter
design.
Project: Design, analyze, program, and test (using software) a 4th order FIR or
IIR filter.
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