Prerequisite/Corequisite: The following course must be completed previously: ELEC 242 or ELEC 264.
Description: Basic material includes discrete vs. continuous-time signals, discrete-time signals, elementary signals and signal operations, discrete-time systems, properties of discrete-time systems and interconnections of systems. Time‑domain analysis of discrete‑time systems is covered including finite difference equation representation of systems,linear time-invariant (LTI) systems, unit impulse response and convolution, sliding tape method for convolution, periodic convolution, properties of convolution, and properties of LTI systems. The next area is Fourier domain analysis including Discrete-Time Fourier Series (DTFS), Discrete-Time Fourier Transform (DTFT), properties of DTFS and DTFT, frequency response of LTI systems, and continuous and discrete-time Fourier transforms. Conversion of continuous-time to discrete-time signals is covered including ideal impulse train sampling, the sampling theorem, effect of sampling in the frequency and time domains graphically and algebraically, anti‑aliasing pre‑filter, reconstruction of band limited signal from its samples, discrete‑time processing of continuous‑time signals, quantization, uniform quantization, quantization noise, granular vs. overload noise, and design of uniform quantizers. The Discrete Fourier Transform (DFT) is developed along with the relationship between the DFT and the DTFT. Also covered is the relationship between the DFT and the Fast Fourier Transform (FFT). The z-transform (ZT) is covered with topics including properties, poles and zeros of rational ZTs, inverse and unilateral z-transforms (UZT), Region of Convergence (ROC), and relationship between ZT and DTFT. Filtering topics include LTI systems as frequency‑selective filters, ideal filters, Finite Impulse Response (FIR) vs. Infinite Impulse Response (IIR) filters, linear phase FIR filters, filter specification, and designing filters with MATLAB. The course closes with FIR filter design with windowing.
Component(s): Lecture 3 hours per week; Tutorial 1 hour per week; Laboratory 12 hours total
- Students who have received credit for ELEC 364 may not take this course for credit.