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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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