ENEE 222 - Elements of Discrete Signal Analysis

Number of Credits: 4
Elements of Discrete Signal Analysis covers the basic tools for signal analysis, including real and complex sinusoids in both discrete and continuous time, sampling, linear transformations and orthogonal projections. The discrete Fourier transform (DFT) is developed in detail and an introduction to Fourier series is provided. The course concludes with a discussion of FIR filters whereby key ideas and methodologies in linear time-invariant systems such as convolution (linear and circular), system functions, and frequency-selective filtering are presented. Credit will be granted for only one of the following: ENEE-222 or ENEE-241. (Spring Term Only) Four hours lecture each week. Four Credits. Four billable hours.

Pre-requisite(s): MATH 136 and CIS 132 with minimum grades of C.
Course Objectives: Upon successful completion of this course, students will be able to:

Interpolate discrete-time sinusoids using knowledge of sampling rate and bandwidth. (PG-1,2) (GE-3)
Use complex phasors to represent and manipulate real-valued sinusoids. (PG-1,2)(GE-3)
Represent finite-dimensional linear transformations by matrices interpret the latter in terms of the former. (PG-1,2) (GE-2,3)
Calculate orthogonal projections and least-squares approximations for both real and complex vectors. (PG-1,2) (GE-3)
Compute simple low-dimensional DFTs and their inverses from first principles. (PT-1,2) (GE-3)
Correctly interpret the information in a DFT spectrum and use it to reconstruct a time-domain signal as a sum of its Fourier components. (PG-1,2) (GE-3)
Understand and apply DFT properties pertaining to index reversal, index shift, modulation, periodic extension and zero-padding. (PG-1,2) (GE-3)
Compute Fourier series coefficients of simple periodic signals in continuous time.
Determine the frequency response of a FIR filter interpret the frequency response in the context of frequency selection. (PG-1,2) (GE-3)
Compute the time-domain response of a FIR filter to exponential, periodic and finite-duration inputs (PG-1,2) (GE-3)
Use MATLAB to visualize, analyze and process signals and images, thereby applying the theory and tools taught in the lectures. (PG-2,3) (GE-2,3)