EC2400 Discrete Systems

Principles of discrete systems, including modeling, analysis and design. Topics include difference equations, convolution, stability, bilateral z-transforms and application to right-sided and left-sided sequences, system diagrams and realizations, and frequency response. Simple digital filters are designed and analyzed.

Prerequisite

MA1113 and ability to program in MATLAB

Lecture Hours

3

Lab Hours

1

Course Learning Outcomes

• Signals: continuous time, discrete time, sampled, complex exponentials.
• Periodicity, discrete time periodic complex exponentials.
• Discrete Fourier Series and Discrete Fourier Transform.
• Systems: causality, stability, linearity, time invariance.
• Linear Time Invariant systems: impulse response, convolution and properties.
• Response to exponentials, frequency response.
• Linear Difference Equations: recursive (IIR) and non-recursive (FIR) filters.
• Z-Transforms: definition, properties, and solution of linear difference equations.
• Unilateral and Bilateral Z-Transform and Region of Convergence (ROC).
• Transfer functions, zeros and poles and shaping of the frequency response.