COURSE OBJECTIVES

The objective of this course is to develop the understanding of the basic ideas of the Signals & Systems encountered in engineering. The main focus will be on the methods for characterizing and analyzing continuous-time and discrete time signals and systems. Students will learn some transform techniques (Laplace transform, Z-transform and Fourier transform) that are useful for the understanding of Digital communication systems, Feedback control systems, Satellite and mobile communications, Digital signal processing and Digital image processing.

COURSE LEARNING OUTCOMES (CLO)

CLO 1: Express the concepts of signals and systems and their different types which can be used in a wide variety of disciplines in engineering. (Level: C2)

CLO 2: Identify and report system properties such as causality, stability, linearity, and time invariance etc. (Level: C3)

CLO 3: Apply the convolution sum/convolution integral formulas to determine the output of continuous time/discrete time systems. (Level: C4)

CLO 4: Analyze continuous and discrete time signals and systems in the time/frequency-domain using Fourier, Laplace and z-transforms. 

COURSE CONTENTS

  1. Fundamental Concepts of Signals & Systems-Six Lectures
    • Introduction
    • Signals and Their Classification
    • Basic Continuous and Discrete Time Signals
    • Operations on Signals
    • Systems and Classification of Systems
    • Interconnections of Systems
  2. Linear Time Invariant Systems- Eight Lectures
    • Response of a Continuous Time LTI System and Convolution Integral
    • Properties of Continuous and Discrete Time LTI System
    • Response of a Discrete Time LTI System and Convolution Sum
    • Eigen function of Continuous and Discrete Time LTI System
    • Properties of Convolution
    • Systems Described by Difference and Differential Equations
  3. Laplace Transform and Continuous Time LTI Systems-Four Lectures
    • The Laplace Transform
    • Laplace Transform of Some Common Signals
    • Properties of Laplace Transform
    • The Inverse Laplace Transform
    • The System Function
    • The Unilateral The Laplace Transform
    • Solving Differential Equations by Using Laplace Transform
  4. The z-Transform and Discrete Time LTI Systems- Four Lectures
    • The z-Transform
    • z-Transform of some Common Signals
    • Properties of z-Transform
    • The Inverse z-Transform
    • The System Function of Discrete Time LTI System
    • The Unilateral z-Transform
    • Solving Difference Equations by Using z-Transform
  5. Fourier Analysis of Continuous Time Signals and Systems- Four Lectures
    • Fourier Series Representations of Periodic Signals
    • The Fourier Transform
    • Properties of Continuous time Fourier Transform
    • The Frequency Response of Continuous Time LTI Systems
    • Filtering and Bandwidth
    • Modulation
    • Sampling Theorem
  6. Fourier Analysis of Discrete Time Signals and Systems- Six Lectures
    • Discrete Fourier Series
    • Discrete Time Fourier Transform (DTFT)
    • Properties of Discrete Time Fourier Transform
    • The Frequency Response of Discrete time LTI Systems
    • Discrete Fourier Transform (DFT)
    • Properties of Discrete Fourier Transform (DFT)
    • Circular Convolution
    • Fast Fourier Transform (FFT)