Signals and Systems
Created by Gowthami Swarna, Last Updated 05-Sep-2019, Language:English
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
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Signals and Systems
15 Lectures 02:04:23-
Signals & Systems - Introduction
Preview00:11:18 -
Signals & Systems - Important Point About Signals
Preview00:09:08 -
Signals & Systems -Types of Signals
Preview00:02:58 -
Signals & Systems - Unit Step Signals
00:14:13 -
Signals & Systems - Impulse Function
Preview00:14:34 -
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
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Signals & Systems - Classification Of Signals
3 Lectures 00:28:42-
Signals & Systems - Operations on Signals
Preview00:04:52 -
Operations on Amplitude Of Signals
00:11:00 -
Operations on Time of Signals
00:12:50
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Classification of Signals
19 Lectures 02:37:01-
Signals & Systems - Classification of Signals
Preview00:09:00 -
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
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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
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Impulse Response System
13 Lectures 01:58:59-
Impulse Response & Transfer Function of a System
Preview00:05:05 -
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
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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
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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
Preview00:05:00 -
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
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Fourier Transform
2 Lectures 00:18:46-
Introduction To Fourier Transform
00:06:21 -
Deriving Fourier Transform From Fourier Series
00:12:25
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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
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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
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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
Preview00:09:12 -
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
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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
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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
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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
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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
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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
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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
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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.