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.


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.


  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)