Analysis, design, and realization of digital filters. Discrete Fourier Transform algorithms, digital filter design procedures, coefficient quantization. Pre: C or better in 3704
Digital filters and other signal processing algorithms have become a way of life, since many communication tasks have gone digital. This is clearly expressed by the commercial and consumer availability of products such as FFT-analyzers, coders, and digital video- and audio-disks and players. Many of our graduates will be (in-) directly working in these areas. It is imperative then that they can elect to be provided with an opportunity to familiarize themselves with the basic tools and methods.
Topic |
Percentage of Course |
Discrete-time signals, sequence operations, sampling | 10% |
Discrete Fourier and Z-transforms, system function for linear shift-invariant systems | 10% |
Fast Fourier Transform (FFT), fast convolution by FFT using the overlap-save or overlap-add methods | 20% |
Design of Infinite Impulse Response (IIR) digital filters by transformation from analog filters: Impulse Invariance, Bilinear Transformation | 15% |
Design of Finite Impulse Response (FIR) digital filters by Windowing, Frequency Sampling | 15% |
Computer Aided Design of FIR and IIR digital filters by Criterion Minimization | 15% |
Implementation aspects: quantization of parameters, finite wordlength, and filter structure (incl. state-space) | 15% |
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