Signals And Systems : Basics To Advance

Classification of Signals ,Operations on Signals,Z Transform,Laplace Transform,Fourier Transform ,State Space Analysis

What you'll learn

Analyze various types of signals and systems

Analyze continuous time and discrete time systems in time domain

Analyze continuous time and discrete time signals using Fourier Series and Fourier Transform

Analyze continuous time and discrete time signals using Fourier Series and Fourier Transform

Requirements

Concepts of Diifferetiation and Integration

Description

Signals and Systems is an introduction to analog and digital signal processing, a topic that forms an integral part of engineering systems in many diverse areas, including seismic data processing, communications, speech processing, image processing, defense electronics, consumer electronics, and consumer products.The course presents and integrates the basic concepts for both continuous-time and discrete-time signals and systems. Signal and system representations are developed for both time and frequency domains. These representations are related through the Fourier transform and its generalizations, which are explored in detail. Filtering and filter design, modulation, and sampling for both analog and digital systems, as well as exposition and demonstration of the basic concepts of feedback systems for both analog and digital systems, are discussed and illustrated.Signals and systems is in Second year  Electronics and telecommunication engineering Course Objectives:1. To introduce students to the idea of signal andsystem analysis and characterization in time andfrequency domain.2. To provide foundation of signal and system conceptsto areas like communication, control and signalCourse outcomes are :students will Be able to classify different  signals such as the unit step, ramp, impulse function, sinusoidal signals and complex exponentials.Be able to classify signals as continuous vs discrete-time, periodic vs non-periodic, energy vs power signal, odd vs even, conjugate symmetric vs anti-symmetricBe able to Perform mathematical operations on signals.Be able to compute the Fourier Series and Fourier Transform of a signalBe able to compute the Z transform  and Laplace Transform of a signal.Be able to understand state space analysis and realize discrete time systems.Reference books: V krishnaveni,A Rajeshwari,Signals and Systems ,Wiley indiaSimon haykin and Barry van veen,Signals and Systems ,John Wiley and sons.

Overview

Section 1: Introduction to Signals and Systems

Lecture 1 Analysis of Different type of signals- Even and Odd signals

Lecture 2 Lecture 2 :Energy and Power Signals

Lecture 3 Lecture 3: Periodic and Non Periodic Signals

Lecture 4 Lecture 4:Operation on Signals (Continuos Time Signals)

Lecture 5 Lecture 5:Operation on Signals (Disctrete type signals)

Lecture 6 Lecture 6: Classification of systems: Continuos time systems

Lecture 7 Lecture 7: Classification of Discrete type systems

Section 2: Unit 2: Time Domain analysis of Continous and Discrete time systems

Lecture 8 Lecture 8: Contionuos time systems: Convolution Integral

Lecture 9 Lecture 9: Discrete time systems: Convolution Sum

Lecture 10 LEcture 10: Convolution Sum: Solved Examples

Section 3: Unit 3: Frequency domain analysis of Continous and Discrete time systems

Lecture 11 Lecture 11: Laplace Transform Definition and Problems

Lecture 12 Lecture 12: Properties of Laplace Transform

Lecture 13 LEcture 13: Problems on Laplace Transform

Lecture 14 LEcture 14: Unilateral LT, Initial and Final Value Theorem and Solution of Diff.

Lecture 15 LEcture 15:Inv LT, Causality and Stability of the systems

Lecture 16 Lecture 16:Fourier Series CTFS -Trignometric Fourier Series

Lecture 17 Lecture 17:Fourier Series CTFS Exponential FS

Lecture 18 Lecture 18:CTFS Trignometric FS-full wave rectified sine wave

Lecture 19 Lecture 19:Discrete time Fourier Sereis

Lecture 20 LEcture 20: Continous Fourier Transform

Lecture 21 Lecture 21:Properties of CTFT

Lecture 22 Lecture 22: Discrete Time Fourier Transform

Section 4: Unit 4: Z Transform

Lecture 23 Lecture 23: Z Transform with some Examples

Lecture 24 Lecture 24:Properties of Z Transform

Lecture 25 Lecture 25: Problems on Z Transform and its properties.

Lecture 26 Lecture 26: Inverse Z Transform -I

Lecture 27 Lecture 27: Inverse Z Transform -II

Lecture 28 LEcture 28: Unilateral Z Transform

Lecture 29 Lecture 29: Analysis of LTI systems: Causality and Stability using Z Transform

Lecture 30 Lecture 30:Z transform - Transfer Function and Pole Zero plot

Section 5: Unit 5: State Space analysis

Lecture 31 Lecture 31:Direct form I realization for Discrete time Systems

Lecture 32 Lcecture 32:Direct form II,Cascade and parallel realization for DT systems

Lecture 33 LEcture 33: State Space analysis for DT systems

Lecture 34 LEcture 34: State space Analysis for DT systems II

SE EXTC /Electronics engineering students