ECG 360 – SIGNALS AND SYSTEMS

CATALOG DATA

Deterministic signals and linear systems, time domain analysis of analog and discrete linear systems, analysis of linear systems using the Laplace transform and the

Z-transform, signal spaces and the generalized Fourier Series.

TEXTBOOK

Linear Systems and Signals by B.P. Lathi, 2002, Oxford, ISBN: 0-19-515129-1.

COORDINATOR

Sahjendra N. Singh, Professor of electrical and computer engineering.

COURSE OBJECTIVES

  • to providestudents fundamental understanding of the theory of discrete-time and continuous-time signals and systems
  • to provide students knowledge and methods to perform time-domain analysis of linear as well as discrete-time and continuous-time systems

to provide students knowledge of Laplace and Z-transforms and application of Laplace and Z-transform techniques for the analysis of continuous and discrete-time systems

PREREQUISITE BY TOPIC

Circuits II

Mathematics for Engineers and Scientists I

TOPICS

  • Introduction to signals and systems description and classification
  • Time-domain analysis of linear continuous-time and discrete-time systems:

Zero-input response (continuous and discrete systems)

Zero-state response (continuous and discrete systems)

Impulse response (continuous and discrete systems)

Convolution integral and convolution sum of signals (continuous and discrete signals)

Stability of systems (continuous and discrete systems)

Classical solution of difference equations

  • Laplace transform and Z-transform analysis for continuous-time and discrete-time systems, Unilateral and bilateral Laplace and inverse Laplace transforms, Unilateral and bilateral Z-transform and inverse Z-transform, Properties of Laplace and Z-transform, Solutions of differential and difference equations, Transfer functions, Poles and zeros, Analysis of electric circuits, Block diagrams, System realization (discrete and continuous), Frequency response of discrete and continuous-time filters
  • Introduction to Fourier series: Fourier series, Amplitude and Phase Spectra (continuous-time signals)

COURSE OUTCOMES

Upon completion of this course, students should be able to:

  • determine impulse response, zero-input response, zero-state response and stability of linear-time invariant continuous-time as well as discrete-time systems and obtain convolution integral and convolution sum of signals using time-domain analysis
  • obtain Laplace transform and Z-transform of signals, and determine transfer function, impulse response, zero-input responses, zero-state response, and system realizations. of continuous-time and discrete-time systems based on frequency-domain techniques
  • obtain frequency response and sinusoidal response of continuous-time and discrete-time systems and design simple filters

COMPUTER USAGE

MATLAB

DESIGN CONTENT

None.

CLASS SCHEDULE

Lecture 2.5 hours per week

PROFESSIONAL CONTRIBUTION

Engineering Science: 3 credits

RELATIONSHIP BETWEEN COURSE AND PROGRAM OUTCOMES

These course outcomes meet the following program objectives:

a.Knowledge of scientific principles that are fundamental to the following application areas: Circuits, Communications, Computers, Controls, Digital Signal Processing, Electronics, Electromagnetics, Power and SolidState.

b.An ability to design and conduct experiments, analyze and interpret data, design a system, component, or process using the techniques, skills, and modern engineering tools, incorporating the use of design standards and realistic constraints that include most of the following considerations: economic, environmental, sustainability, manufacturability, ethical, health and safety, social and political.

  1. An ability to identify, formulate and solve engineering problems.

COURSE PREPARER AND DATE OF PREPARATION

Sahjendra N. Singh, May 6, 2002 (version 1).

Sahjendra N. Singh, January 31, 2003 (version 2).