[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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**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

**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

**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

**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

**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

**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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