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

08 Jul 2024

Fall Quarter applications due