Signals and Systems

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4 Credits

ELEC 221

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]

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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