Discrete Systems

Course #EC2400

Est.imated Completion Time: 3 months

Overview

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.

Prerequisites

MA1113

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.

Other Information

Ability to program in MATLAB is required.

Offerings database access

Asset Publisher

Application Deadlines

No upcoming deadlines.