Signals and Systems

(4 Credits)

This module covers analytical techniques for analyzing, characterizing and synthesizing engineering systems. Systems approaches where the entire system or each of the sub-systems is considered as single units are introduced. Introductory topics in this course include: sinusoids, phase and time shift, and complex exponentials. Operations on sinusoidal signals include addition of signals with the same frequency via the phasor addition rule, conversion between time-shift and phase, and addition of signals with different frequencies via the introduction of the frequency spectrum concept. Topics on discrete time systems include: FIR and IIR filtering, impulse response, causality, linearity, time invariance, and convolution. Time and frequency domain representations of systems and conversions between these representations are also studied. Z-transform domain, the concept of poles and zeros, stability and their relevance to the time and frequency domains are also covered. Topics on continuous time systems include continuous-time convolution, the Laplace transform, Fourier analysis for continuous-time signals, and the Sampling theorem.