Signals and Systems
Complex numbers, LTI systems, convolution sum, discrete-time Fourier series and transforms, z-transform, sampling, introduction to filtering and modulation, feedback systems, stability. [3-0-2]
4 credits
Course Topics
- Introduction to signals and systems. Basic signal properties, transformations, continuous-time vs. discrete-time, elementary signals. System properties, interconnections of systems
- Time-domain representations for Linear Time Invariant Systems. Convolution sum and convolution integral. Description by differential and difference equations
- Fourier representation of periodic signals. Discrete and continuous time periodic signals
- Frequency domain representations of non-periodic signals. Discrete and continuous Fourier Transform. Properties, connection to time-domain representations
- Applications of Fourier representations. Frequency response of linear systems, Bode plots, time and frequency characterization of LTI systems, modulation
- Sampling of continuous-time signals and their reconstruction from samples
- The Laplace Transform. region of convergence, properties, inversion, solution of linear differential equations by Laplace Transform
- The z-transform. Properties and its use in the analysis of discrete-time systems
Prerequisite
ONE of
| MATH 255 – Ordinary Differential Equations |
| MATH 256 – Differential equations |
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