ECE2025 -  Introduction to Signal Processing  (3-3-4)

Prerequisites:  (MATH 1502/1512 or (MATH 15X2 and MATH 1522) ) and (CS 1371 or CS 1171) [all courses min C]

Corequisites:  None

Catalog Description:  Introduction to signal processing for discrete-time and continuous-time signals. Filtering. Frequency Response. Fourier Transform. Z Transform. Laboratory emphasizes computer-based signal processing.

Textbook(s):  McClellan, Shafer, and Yoder, Signal Processing First (First edition), Prentice Hall, 2003. (required)

Course Objectives - As part of this course, students: 1. will understand mathematical representation of discrete-time and continuous-time signals. [6,8] 2. will be introduced to signal processing and characterization techniques, such as filtering, frequency response, and transforms. [6] 3. gain laboratory experience in computer-based signal processing. [7,8]

Course Outcomes - Upon successful completion of this course, students should be able to: 1. express signal processing systems in mathematical form. 2. write MatLab code describing a signal processing system. 3. analyze signals in terms of their frequency content. 4. describe system behavior in terms of frequency content. 5. describe system behavior in terms of frequency response. 6. describe system behavior in terms of the Fourier Transform. 7. analyze mixed analog-digital systems with sampling operations and digital filters. 8. utilize the z-transform to analyze discrete-time systems in terms of poles and zeroes. 9. use complex exponential notation to describe signals and systems. 10. describe how signal processing is used in applications (e.g., audio and digital image processing).

Topical Outline:  Sinusoidal Signals Amplitude, Phase & Frequency Complex Exponential Representation (Phasors) Spectrum Representation of Signals Sinusoids, Harmonics Other Synthesis Examples: e.g., Chirp (FM) Signals Fourier Series: Synthesis & Analysis Digital Signals and Sampling Aliasing & Folding Reconstruction from Samples Moving Average Filters Finite-Length Impulse Response (FIR) Convolution Linearity & Time-Invariance Frequency Response Magnitude & Phase Responses Lowpass, Highpass & Bandpass Filters Z-Transform Method for FIR Zeros of the Transfer Function Polynomial Cascading Systems Relationship to Frequency Response Recursive Filters Feedback Difference Equations Discretizing Differential Equations Impulse Response Z-transform for Recursive Filters Second-Order (Narrowband) Filters Continuous-Time Signals and Systems Continuous-time convolution and impulses Frequency Response Fourier Transform (Continuous-Time) Modulation and AM Communication Relationship between Continuous-Time and Discrete-Time Frequency Domains Laboratory Modules include: Introduction to MATLAB software Manipulating Sinusoids & Complex Exponentials Synthesis from a Spectrum (Fourier Series Analysis) Sound and Music Synthesis Frequency Response for Digital Filters Filtering Applications (e.g., AM Demodulation of Touch-Tone Phone) Image Enhancement Applications Simulation of Continuous-time Systems Periodic x(t) thru Analog System: Filter the Fourier Series Time-Frequency Analysis of Signals (Spectrogram)