# Signals & Systems (EE2613)

##### Pre-requisite(s)

Circuit Analysis - I (EE-2213)

Linear Algebra (MTC-1033)

##### Recommended Book(s)

Signals & Systems by Alan V. Oppenheim, Prentice Hall

##### Reference Book(s)

Signals, Systems, and Transforms by Charles L. Phillips

Digital Signal Processing by S. Salivahanan A. and Vallavaraj

Continuous and Discrete Signal and System Analysis by C. D. McGillem and G. R. Cooper.

Linear Systems and Signals by B. P. Lathi

## 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. (Level: C5)

## Course Contents

##### Fundamental Concepts of Signals & Systems
• Introduction
• Signals and Their Classification
• Basic Continuous and Discrete Time Signals
• Operations on Signals
• Systems and Classification of Systems
• Interconnections of Systems
##### Linear Time Invariant Systems
• 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
##### Laplace Transform and Continuous Time LTI Systems
• 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
##### The z-Transform and Discrete Time LTI Systems
• 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
##### Fourier Analysis of Continuous Time Signals and Systems
• 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
##### Fourier Analysis of Discrete Time Signals and Systems
• 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)

## Mapping of CLOs to Program Learning Outcomes

 CLOs/PLOs CLO:1 CLO:2 CLO:3 CLO:4 PLO:1 (Engineering Knowledge) √ √ √ PLO:2 (Problem Analysis) √ PLO:3 (Design and Development of Solutions) PLO:4 (Investigation) PLO:5 (Modern Tool Usage) PLO:6 (The Engineer and Society) PLO:7 (Environment and Sustainability) PLO:8 (Ethics) PLO:9 (Individual and Team Work) PLO:10 (Communication) PLO:11 (Project Management) PLO:12 (Life Long Learning)