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
  
  Preview
  
  00:09:08
- Signals & Systems -Types of Signals
  
  Preview
  
  00:02:58
- Signals & Systems - Unit Step Signals
  
  00:14:13
- Signals & Systems - Impulse Function
  
  Preview
  
  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
  
  Preview
  
  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.