Computer Networks

Multimedia Networking

Data Compression and Information Theory

Signals & Systems I

Signals & System II

Probability and Random Signals


 


Signal and Systems I

This is an introductory course of signals and systems. The most important properties of continuous-time and discrete-time signals and systems are considered: periodicity, linearity, time-invariance, causality, impulse response, convolution representation. Their analysis in the frequency domain is presented by means of the Fourier Transform and the Discrete-Time Fourier Transform (DTFT).

Prerequisites

ENGR 203, MTH 256


Textbook

S. Haykin and B. Van Veen, Signals and Systems, Second Edition, John Wiley & Sons, 2003. ISBN 0471-16474-7
Recommended MATLAB Text: W. Palm, Introduction to Matlab 7 for Engineers, McGraw-Hill, 2006. ISBN 0-07-2548185


Topics

  • Chapter 1 - Introduction
    • Basic concepts of signals and systems
    • Basics of Matlab
  • Chapter 2 - Time-Domain Representation of Linear Time-Invariant Systems
    • Convolution sum and integral
    • Interconnection of LTI systems
    • LTI system properties
    • Impulse response
    • Step response
    • Differential and difference equations (DE)
    • Characteristics of systems described by DE
    • Using Matlab for time-domain analysis
  • Chapter 3 - Fourier Representation of Signals and LTI Systems
    • Frequency response of LTI systems
    • Fourier series
    • Fourier transform (FT)
    • Discrete-time Fourier series, Discrete-time Fourier transform (DTFT)
    • Properties of Fourier representations
    • Parseval relationships and time-bandwidth product
    • Using Matlab for frequency domain analysis
  • Chapter 4 - Applications of Fourier Representations to Mixed Signal Classes
    • Fourier transform of impulse train and its applications
    • Fourier transform representations of periodic and discrete-time signals
    • Convolution and multiplication with mixtures of periodic and non-periodic signals
    • Sampling and aliasing

Reference

  • A.V. Oppenheim and A.S. Willsky, Signals and Systems, Second Edition, Prentice Hall, 1997, ISBN 0-13-814757-4

  • C.L. Phillips and J.M. Parr, Signal, System, and Transforms, Second Edition, Prentice Hall, 1991, ISBN 0-20-109589-0

  • D.K. Lindner, Introduction to Signals and Systems, First Edition, McGraw Hill, 1999, ISBN