[vc_row el_class=”inner-body-content” css=”.vc_custom_1667216940907{padding-top: 30px !important;padding-bottom: 20px !important;}”][vc_column][vc_custom_heading text=”COURSE OBJECTIVES” use_theme_fonts=”yes” css=”.vc_custom_1667216914442{margin-top: 0px !important;}”][vc_column_text]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.[/vc_column_text][vc_custom_heading text=”COURSE LEARNING OUTCOMES (CLO)” font_container=”tag:h3|text_align:left” use_theme_fonts=”yes”][vc_column_text]

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.

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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)

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