SYSC 4405
Digital Signal Processing
Discrete time signal and system representation: time domain, z-transform, frequency domain. Sampling theorem. Digital filters: design, response, implementation, computer-aided design. Spectral analysis: the discrete Fourier transform and the FFT. Applications of digital signal processing.
2020
Topics
- Discrete-time signals and sequences, unit impulse and unit step functions
- properties of systems, filters described by difference equations and block
- diagrams.
- Spectrum representation, sampling, Shannon sampling theorem, Nyquist rate
- aliasing.
- Frequency response, sinusoidal filtering, z-transform representation of
- sequences and filters.
- Transfer functions, pole-zero plots, z-domain, frequency domain relationship.
- Stability in z-domain, frequency response, impulse response.
- FIR filter design, ideal frequency selective filters, FIR filter transformations, FIR
- windowed filtering, linear phase filters, group delay.
- Filter structures, Direct Form I and II structures, cascade structures, parallel
- structures, discrete Fourier series (DFS), discrete Fourier transform (DFT).
- Discrete Fourier transform (DFT), signal analysis with the DFT, fast Fourier
- transform (FFT).
Prerequisites & course information
Prerequisite(s): SYSC 3500 or SYSC 3600 or SYSC 3610 . Lectures three hours a week, laboratory three hours alternate weeks.