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.
Capstone Technical Elective for EE; Technical Elective for CPE
C- or better in 2014, 3704
The basic treatment of deterministic continuous and digital filter concepts (as in 3704) form the foundation upon which one builds the analysis and design of digital filters and signal processing algorithms.
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%|