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Signals and Systems

Simply Easy Learning

Created by Gowthami Swarna, Last Updated 05-Sep-2019, Language:English

Description

In this video tutorial, the tutor covers a range of topics from from basic signals and systems to signal analysis, properties of continuous-time Fourier transforms including Fourier transforms of standard signals, signal transmission through linear systems, relation between convolution and correlation of signals, and sampling theorems and techniques. This tutorial provides a comprehensive coverage of the theory of signals and systems and how the signals interact with physical systems.

Audience

This video tutorial has been designed for Electronics Engineering Students, and especially who are preparing for GATE, IES and other PSU exams preparation. It will also be helpful for students in preparing them for their Engineering Syllabus.

Course Content

  • Signals and Systems 15 Lectures 02:04:23

    • Signals & Systems - Introduction

      Preview
      00:11:18

    • Signals & Systems - Important Point About Signals

      00:09:08

    • Signals & Systems -Types of Signals

      00:02:58

    • Signals & Systems - Unit Step Signals

      00:14:13

    • Signals & Systems - Impulse Function

      00:14:34

    • Signals & Systems - Signum Function

      00:09:16

    • Signals & Systems - Exponential Signal

      00:11:13

    • Signals & Systems - Unit Ramp Signal

      00:08:03

    • Signals & Systems - Unit Parabolic Signal

      00:06:32

    • Signals & Systems - Unit Rectangle Pulse

      00:02:43

    • Example On Rectangular Function

      00:07:19

    • Signals & Systems - Triangular Signal

      00:09:24

    • Signals & Systems - Triangular Signal Example

      00:04:12

    • Signals & Systems - Sinusoidal Signal

      00:08:26

    • Signals & Systems - Since & Sampling Function

      00:05:04
  • Signals & Systems - Classification Of Signals 3 Lectures 00:28:42

    • Signals & Systems - Operations on Signals

      00:04:52

    • Operations on Amplitude Of Signals

      00:11:00

    • Operations on Time of Signals

      00:12:50
  • Classification of Signals 19 Lectures 02:37:01

    • Signals & Systems - Classification of Signals

      Preview
      00:09:00

    • Continuous Time & Discrete Time Signals

      00:11:47

    • Deterministic & Non-Deterministic Signals

      00:03:55

    • Signals & Systems - Even & Odd Signals

      00:10:17

    • Signals & Systems - Even & Odd Components

      00:10:45

    • Even & Odd Components Of A Signal Example 1

      00:07:52

    • Even & Odd Components of a Signal Example 2

      00:05:23

    • Signals & Systems - Periodic & Aperiodic Signals

      00:05:16

    • Signals & Systems - Checking of Periodicity

      00:10:11

    • Energy Signals & Power Signals

      00:05:55

    • Energy & Power of a Signal Example

      00:07:13

    • Energy & Power of Unit Step Signals

      00:07:29

    • Energy & Power Of Exponential Signal With Negative Power

      00:10:03

    • Energy of a Signal Example

      00:03:51

    • Calculating Energy of Triangular Signal

      00:10:36

    • Energy & Power Of Exponential Signal With Positive Power

      00:09:11

    • Energy & Power of a Signals Example

      00:13:32

    • Energy & Power of Ramp Signals

      00:08:45

    • Real & Imaginary Signals

      00:06:00
  • Classification of a Systems 8 Lectures 01:12:28

    • Signals & Systems - Classification of a Systems

      00:04:34

    • Signals & Systems - Linear & None-Linear System

      00:11:41

    • Signals & Systems - Time Variant & Time Invariant

      00:06:20

    • Linear Time Variant & Invariant Systems

      00:15:25

    • Signals & Systems - Static & Dynamic System

      00:07:00

    • Causal & None Causal Systems

      00:11:38

    • Signals & Systems - Invertible & None Invertible

      00:06:05

    • Signals & Systems - Stable & Unstable System

      00:09:45
  • Impulse Response System 13 Lectures 01:58:59

    • Impulse Response & Transfer Function of a System

      Preview
      00:05:05

    • Ramp Signal Problem Example

      00:18:25

    • Energy & Power of Discrete Signal

      00:09:28

    • Energy & Power Signals Problem Example

      00:11:40

    • Estimating Energy & Power of Discrete Signal

      00:15:04

    • Checking of Periodicity of a Discrete Signal

      00:06:21

    • Periodicity of Discrete Time Signal

      00:04:25

    • Periodicity Discrete Unit Step Signal

      00:06:33

    • Impulse Function Problem Example

      00:09:54

    • Check For Stability Of Signals

      00:13:56

    • Casuality Problem Example

      00:03:54

    • Stability & Casuality Problem Example

      00:07:44

    • Impulse Function Example

      00:06:30
  • Convolution 21 Lectures 02:41:05

    • What Is Convolution?

      00:09:15

    • Method To Calculate Continuous Convolution

      00:06:19

    • Convoluted Signal Limits

      00:04:07

    • Convolution By Image Method

      00:13:41

    • Properties of Convolution

      00:07:57

    • Distributive Property Problem Example

      00:06:49

    • Convolution Problem Example 1

      00:04:39

    • Properties of Convolution Problem Example

      00:03:47

    • Other Properties of Convolution

      00:07:22

    • Area of Convoluted Signal

      00:06:38

    • Scaling In Convolution

      00:04:36

    • Ramp In Convolution Problem Example

      00:09:12

    • Convolution of Unit Step With Ramp Using Differentiation Property

      00:11:03

    • Convolution Problem Example 2

      00:10:26

    • Discrete Signal Problem Example

      00:10:15

    • Method to Find Discrete Convolution

      00:07:48

    • Sum By Column Method To Calculate Discrete Convolution

      00:06:27

    • Periodic or Circular Convolution

      00:09:28

    • Matrix Method To Calculate Circular Convolution

      00:07:10

    • What Is Deconvolution?

      00:07:23

    • Division Method For Deconvolution

      00:06:43
  • Fourier Series 20 Lectures 03:12:30

    • Fourier Series Representation of Signal

      00:13:15

    • Deriving Fourier Series

      00:12:28

    • Properties of Fourier Series

      00:10:42

    • Symmetry Properties

      00:10:30

    • Spectral Properties of Periodic Power Signal

      00:12:40

    • Dirichlet’s Conditions

      00:07:46

    • Trigonometric Fourier Series

      00:19:03

    • Exponential Fourier Series

      00:11:25

    • Relation Between Trigonometric & Exponential Fourier Series

      00:13:58

    • Fourier Coefficient of Impulse Train Problem Example

      00:06:14

    • Gate Shortcut To Predict Nature of Fourier Coefficient

      00:04:47

    • Problem on Fourier Series Coefficient

      00:05:36

    • Polar Form

      Preview
      00:05:00

    • Fourier Series Representation Using Symmetry of Signal

      00:17:10

    • Problem on Fourier Series Representation Using Symmetry

      00:07:06

    • Problem on Discrete Time Fourier Series

      00:08:01

    • Gate Shortcuts To Calculate Trigonometric Fourier Series & Power

      00:04:56

    • DC Component

      00:05:50

    • Amplitude of Fundamental Components

      00:08:08

    • Problem on DC Components of Signal

      00:07:55
  • Fourier Transform 2 Lectures 00:18:46

    • Introduction To Fourier Transform

      00:06:21

    • Deriving Fourier Transform From Fourier Series

      00:12:25
  • Fourier Transform of Basic Function 5 Lectures 00:44:10

    • Fourier Transform of Gate Function

      00:09:39

    • Fourier Transform of Impulse

      00:05:17

    • Fourier Transform of DC Signal

      00:05:54

    • Fourier Transform of Cosine Wave

      00:14:22

    • Fourier Transform of Unit Step Function

      00:08:58
  • Properties of Fourier Transform 16 Lectures 02:48:26

    • Linearity Property

      00:11:36

    • Time Shifting Property

      00:14:19

    • Frequency Shifting Property

      00:11:19

    • Time Differentiation & Integration Property

      00:12:45

    • Duality & Similarity Property

      00:09:22

    • Time Scaling Property

      00:08:47

    • Multiplication & Convolution Property

      00:10:04

    • Fourier Transform of Shifted Unit Step

      00:14:03

    • Fourier Transform of Two-Sided Exponential

      00:09:03

    • Inverse Fourier Transform Problem Example 1

      00:09:46

    • Standard Fourier Transform Pairs

      00:13:31

    • Inverse Fourier Transform Problem Example 2

      00:07:56

    • Inverse Fourier Transform Problem Example 3

      00:05:41

    • Fourier Transform Gate Problem Example

      00:07:48

    • Distortion Less Transmission of The System

      00:11:50

    • Hilbert Transform

      00:10:36
  • Correlation 17 Lectures 02:16:26

    • Introduction To Correlation

      00:06:32

    • Auto Correlation Function of Energy Signal

      00:07:08

    • Auto Correlation Function of Energy Signal Property 1

      00:05:13

    • Auto Correlation Function of Energy Signal Property 2

      00:05:07

    • Auto Correlation Function of Energy Signal Property 3

      00:13:36

    • Auto Correlation Function of Energy Signal Property 4

      00:12:39

    • Auto Correlation Function of Power Signals & Properties

      00:07:53

    • Relation Between Input Energy Spectral Density & Output Energy Spectral Density

      00:07:34

    • Problem on Auto Correlation Function of Energy Signal

      00:14:16

    • Problem on Auto Correlation Function of Power Signal

      00:10:47

    • Cross Correlation Function

      Preview
      00:09:12

    • Properties of Cross Correlation Function

      00:06:29

    • Cross Correlation Function of Power Signal & It’s Properties

      00:06:07

    • Problem on Relation Between Power Spectral Density

      00:04:20

    • Problem on Parseval’s Energy Theory

      00:10:33

    • Energy Spectral Density Calculation

      00:06:11

    • Energy of a Time Scaled Signal

      00:02:49
  • Sampling 11 Lectures 01:28:07

    • Sampling Theorem

      00:13:15

    • Sampling Theorem Proof

      00:20:09

    • Cutoff Frequency of Filter

      00:08:22

    • Cutoff Frequency Of Filter Problem Example 1

      00:07:48

    • Cutoff Frequency Of Filter Problem Example 2

      00:04:26

    • Sampling Frequency Problem Example 1

      00:07:42

    • Sampling Frequency Problem Example 2

      00:04:50

    • Sampling Frequency Problem Example 3

      00:03:05

    • Calculating Sampling Frequency Problem Example

      00:05:35

    • Way To Find Nyquist Sampling

      00:05:45

    • Frequency Components at The Output of LPF

      00:07:10
  • Laplace Transform 44 Lectures 05:47:02

    • Laplace Transform

      00:15:46

    • Relation Between Laplace & Fourier Transform

      00:06:20

    • Inverse Laplace Transform

      00:09:19

    • Conditions For Existence of Laplace Transform

      00:05:59

    • List of Properties In Laplace Transform

      00:04:02

    • Linearity Property In Laplace Transform

      00:05:43

    • Time Shifting Property In Laplace Transform

      00:07:48

    • Frequency Shifting Property In Laplace Transform

      00:07:26

    • Time Reversal Property In Laplace Transform

      00:03:31

    • Time Scaling Property Laplace Transform

      00:09:46

    • Differentiation & Integration Property

      00:08:45

    • Multiplication & Convolution Properties of Laplace Transform

      00:13:47

    • Initial Value Theorem

      00:04:06

    • Final Value Theorem

      00:07:05

    • Region of Convergence In Laplace Transform & It's Properties

      00:14:58

    • Laplace Transform of Right Side Decaying Exponential

      00:07:38

    • Laplace Transform of Left Side Decaying Exponential

      00:08:28

    • Laplace Transform & ROC of Raising Exponential

      00:14:56

    • Problem on Region Of Convergence

      00:06:21

    • Laplace Transform & ROC Problem Example 1

      00:06:29

    • Laplace Transform & ROC Problem Example 2

      00:07:36

    • Laplace Transform of DC Signal

      00:04:32

    • Laplace Transform Of Signum Function

      00:04:16

    • Unilateral Laplace Transform

      00:05:37

    • Problem on Time Shifting Property In Laplace Transform

      00:05:01

    • Some Standard Signals & Their Laplace Transform & ROC

      00:16:23

    • Problem on Time Shifting Property

      00:09:31

    • Problem on Inverse Laplace Transform Using Time Shifting Property

      00:08:58

    • Frequency Shifting Property Problem Example

      00:08:11

    • Inverse Laplace Transform Problem Example 1

      00:04:24

    • Inverse Laplace Transform Problem Example 2

      00:09:55

    • Inverse Laplace Transform Problem Example 3

      00:05:15

    • Transform Function By Using Inverse Laplace Transform Problem

      00:05:45

    • Transform Function In Laplace Transform Problem Example

      00:08:14

    • Differential Equation Solving Using Laplace Transform

      00:12:07

    • Unilateral Laplace Transform Of Left Shifted Impulse

      00:04:45

    • Problem on Find Value Theorem

      00:04:49

    • Causality & Stability

      00:09:29

    • Problem on Causality & Stability

      00:10:09

    • Problem On Laplace Transform Of Ramp

      00:13:41

    • Laplace Transform of Shifted Ramp

      00:05:32

    • Convolution Property Problem Example

      00:07:01

    • Final Value Of Theorem Problem Example 1

      00:02:51

    • Final Value of Theorem Problem Example 2

      00:04:47
  • Z-Transform 5 Lectures 00:48:10

    • Introduction To Z-Transform

      00:06:10

    • Z-Transfer & Inverse Z-Transfer

      00:17:09

    • Z-Transform Problem Example 1

      00:06:03

    • Z-Transform Problem Example 2

      00:06:32

    • Inverse Z-Transform Problem Example

      00:12:16
  • Z-Transform Of Basic Signal 13 Lectures 01:39:18

    • Z-Transform Of Basic Signal Problem Example 1

      00:10:19

    • Z-Transform Of Basic Signal Problem Example 2

      00:10:31

    • Z-Transform Of Basic Signal Problem Example 3

      00:07:58

    • Z-Transform of Unit Step Function

      00:05:08

    • Z-Transform of Impulse Function

      00:04:45

    • Z-Transform of COS Signal Type-1

      00:09:30

    • Z-Transform of COS Signal Type-2

      00:08:52

    • Z-Transform GATE Problem Example 1

      00:05:59

    • Z-Transform GATE Problem Example 2

      00:07:46

    • Z-Transform GATE Problem Example 3

      00:03:46

    • Initial & Final Value Theorems In Z-Transform

      00:03:41

    • Basic Z-Transform Pairs

      00:06:45

    • Region of Convergence of Z-Transform

      00:14:18
  • Properties of Z-Transform 19 Lectures 02:26:51

    • Linearity Property of Z-Transform

      00:05:53

    • Time Shifting Property of Z-Transform

      00:07:04

    • Time Reversal Property of Z-Transform

      00:13:21

    • Scaling Property of Z-Transform

      00:07:48

    • Differentiation In Z-Domain Property of Z-Transform

      00:10:56

    • Differentiation In Z-Domain Property Problem Example 1

      00:07:03

    • Differentiation In Z-Domain Property Problem Example 2

      00:07:29

    • Inverse Z-Transform Problem Example 2

      00:05:36

    • Multiplication & Convolution Property of Z-Transform

      00:03:45

    • Convolution Property of Z-Transform Problem Example

      00:15:46

    • Initial Value Theorem Problem Example

      00:02:39

    • System Function & Impulse Response Problem Example

      00:05:19

    • Unilateral Z-Transform

      00:06:34

    • Causality & Stability According To ROC of Z-Transform

      00:08:47

    • Important ROCs Related To Impulse Function

      00:04:37

    • Problem On Z-Transform

      00:11:38

    • Region Of Convergence Problem Example

      00:05:59

    • Stable But Not Casual Problem Example

      00:07:23

    • System To Be Causal & Stable Problem Example

      00:09:14
  • Method To Calculate Inverse Z-Transform 8 Lectures 00:55:55

    • Long Division Method To Calculate Inverse Z-Transform

      00:10:16

    • Direct Computation Method To Calculate Inverse Z-Transform

      00:11:06

    • Residue Theorem To Calculate Inverse Z-Transform

      00:09:06

    • ROC Of A Discrete Time Sequence In Z-Transform

      00:06:47

    • Problem On Linear Discrete Time System Of Z-Transform

      00:01:57

    • Problem On Final Value Theorem

      00:05:04

    • Problem On Response Of The System

      00:07:02

    • Region Of Convergence Gate Problem

      00:04:37

Gowthami Swarna

Gowthami Swarna holds an M.Tech in Electronics & Communication Engineering. She has excellent knowledge and tutoring experience in teaching Electronics and Communication Engineering topics for GATE exams.