- Signals and Systems Basics
- Signals and Systems - Home
- Signals & Systems - Introduction
- Signals & Systems - Important Point About Signals
- Signals & Systems -Types of Signals
- Signals & Systems - Unit Step Signals
- Signals & Systems - Impulse Function
- Signals & Systems - Signum Function
- Signals & Systems - Exponential Signal
- Signals & Systems - Unit Ramp Signal
- Signals & Systems - Unit Parabolic Signal
- Signals & Systems - Unit Rectangle Pulse
- Example on Rectangular Function
- Signals & Systems - Triangular Signal
- Signals & Systems - Triangular Signal Example
- Signals & Systems - Sinusoidal Signal
- Signals & Systems - Since & Sampling Function
- Operation on Signals
- Classification of Signals
- Signals & Systems - Classification of Signals
- Continuous time & Discrete time signals
- Deterministic & Non-deterministic Signals
- Signals & Systems - Even & Odd Signals
- Signals & Systems - Even & Odd Components
- Even & Odd Components of a Signal Example 1
- Even & Odd Components of a Signal Example 2
- Signals & Systems - Periodic & Aperiodic Signals
- Signals & Systems - Checking of Periodicity
- Energy Signals & Power Signals
- Energy & Power of a Signal Example
- Energy & Power of Unit Step Signals
- Energy & Power of Exponential Signal with Negative Power
- Energy of a Signal Example
- Calculating Energy of Triangular Signal
- Energy & Power of Exponential Signal With Positive Power
- Energy & Power of a Signals Example
- Energy & Power Of Ramp Signals
- Real & Imaginary Signals
- Classification of a Systems
- Signals & Systems - Classification of a Systems
- Signals & Systems - Linear & None-linear System
- Signals & Systems - Time Variant & Time Invariant
- Linear Time Variant & Invariant Systems
- Signals & Systems - Static & Dynamic System
- Causal & None Causal Systems
- Signals & Systems - Invertible & None Invertible
- Signals & Systems - Stable & Unstable System
- Impulse Response System
- Impulse Response & Transfer Function of a System
- Ramp Signal Problem Example
- Energy & power of Discrete Signal
- Energy & Power Signals Problem Example
- Estimating Energy & Power of Discrete Signal
- Checking of Periodicity of a Discrete Signal
- Periodicity of Discrete Time Signal
- Periodicity Discrete Unit Step Signal
- Impulse Function Problem Example
- Check for Stability of Signals
- Casuality Problem Example
- Stability & Casuality Problem Example
- Impulse Function Example
- Convolution
- Convolution
- Mthod to Calculate Continous Convolution
- Convoluted Signal Limits
- Convolution by Image Method
- Properties of Convolution
- Distributive Property Problem Example
- Convolution Problem Example
- Properties of Convolution Problem Example
- Other Properties of Convolution
- Area of Convoluted Signal
- Scaling in Convolution
- Ramp in Convolution Problem Example
- Convolution of Unit Step with Ramp using Differentition Propertiy
- Convolution Problem Example
- Discrete SIgnal Problem Example
- Method to Find Discrete Convolution
- Sum by Column Method to Calculate Discrete Convolution
- Periodic or Circular Convolution
- Matrix Method to Calculate Circular Convolution
- Deconvolution
- Division Method for Deconvolution
- Fourier Series
- Fourier Series Representation of Signal
- Deriving Fourier Series
- Properties of Fourier Series
- Symmetry Properties
- Spectral Properties of Periodic Power Signal
- Dirichlet’s Conditions
- Trigonometric Fourier Series
- Exponential Fourier Series
- Relation Between Trigonometric & Exponential Fourier Series
- Problem on Fourier Cofficient of Impulse Train
- Gate Shortcut to Predict Nature of Fourier Cofficient
- Problem on Fourier Series Cofficient
- Polar Form
- Fourier Series Representation Using Symmetry of Signal
- Problem on Fourier Series Representation Using Symmetry
- Problem on Discrete Time Fourier Series
- Gate Shortcuts to Calculate Trigonometric Fourier Series & Power
- DC Component
- Amplitude of Fundamental Components
- Problem on DC Components of Signal
- Fourier Transform
- Fourier Transform of Basic Functions
- Properties of Fourier Transform
- Linearity Property
- Time Shifting Property
- Frequency Shifting Property
- Time Differentiation & Integration Property
- Duality & Similarity Property
- Time Scaling Property
- Multiplication & Convolution Property
- Fourier Transform of Shifted Unit Step
- Fourier Transform of two-Sided Exponential
- Problem 1 on Inverse Fourier Transform
- Standard Fourier Transform Pairs
- Problem 2 on Inverse Fourier Transform
- Problem 3 on Inverse Fourier Transform
- Gate Problem on Fourier Transform
- Distortion Less Transmission of the System
- Hilber Transform
- Correlation
- Introduction to Correlation
- Auto Correlation Function of Energy Signal
- Property 1 on Auto Correlation Function of Energy Signal
- Property 2 on Auto Correlation Function of Energy Signal
- Property 3 on Auto Correlation Function of Energy Signal
- Property 4 on Auto Correlation Function of Energy Signal
- Auto Correlation Function of Power Signals & Properties
- Relation Between Input Energy Spectral Density & Output Energy Spectral Density
- Problem on Auto Correlation Function of Energy Signal
- Problem on Auto Correlation Function of Power Signal
- Cross Correlation Function
- Properties of Cross Correlation Function
- Cross Correlation Function of Power Signal & it’s Properties
- Problem on Relation Between Power Spectral Density
- Problem on Parseval’s Energy Theory
- Energy Spectral Density Calculation
- Energy of a Time Scaled Signal
- Sampling
- Sampling Theorem
- Sampling Theorem Proof
- Cutoff Frequency of Filter
- Problem 1 on Cutoff Frequency of Filter
- Problem 2 on Cutoff Frequency of Filter
- Problem 1 on Sampling Frequency
- Problem 2 on Sampling Frequency
- Problem 3 on Sampling Frequency
- Problem on Calculating Sampling Frequency
- Way to Find Nyquist Sampling
- Frequency Components at the Output of LPF
- Laplace Transform
- Laplace Transform
- Relation Between Laplace & Fourier Transform
- Inverse Laplace Transform
- Conditions for Existence of Laplace Transform
- List of Properties in Laplace Transform
- Linearity Property in Laplace Transform
- Time Shifting Property in Laplace Transform
- Frequency Shifting Property in Laplace Transform
- Time Reversal Property in Laplace Transform
- Time Scaling Property Laplace Transform
- Differentiation & Integration Property
- Multiplication & Convolution Properties of Laplace Transform
- Initial Value Theorem
- Final Value Theorem
- Region of Convergence in Laplace Transform & It's Properties
- Laplace Transform of Right Side Decaying Exponential
- Laplace Transform of Left Side Decaying Exponential
- Laplace Transform & ROC of Raising Exponential
- Problem on Region of Convergence
- Problem 1 on Laplace Transform & ROC
- Problem 2 on Laplace Transform & ROC
- Laplace Transform of DC Signal
- Laplace Transform of Signum Function
- Unilateral Laplace Transform
- Problem on Time Shifting Property in Laplace Transform
- Some Standard Signals & Their Laplace Transform & ROC
- Problem on Time Shifting Property
- Problem on Inverse Laplace Transform Using Time Shifting Property
- Problem on Frequency Shifting Property
- Problem 1 on Inverse Laplace Transform
- Problem 2 on Inverse Laplace Transform
- Problem 3 on Inverse Laplace Transform
- Problem on Transform Function by Using Inverse Laplace Transform
- Problem on Transform Function in Laplace Transform
- Differential Equation Solving Using Laplace Transform
- Unilateral Laplace Transform of Left Shifted Impulse
- Problem on Find Value Theorem
- Casuality & Stability
- Problem on Causality & Stability
- Problem on Laplace Transform of Ramp
- Laplace Transform of Shifted Ramp
- Problem on Convolution Property
- Problem 1 on Final value of Theorem
- Problem 2 on Final value of Theorem
- Z-Transform
- Z-Transform of Basic Signals
- Problem 1 on Z-Transform of Basic Signal
- Problem 2 on Z-Transform of Basic Signal
- Problem 3 on Z-Transform of Basic Signal
- Z-Transform of Unit Step Function
- Z-Transform of Impulse Function
- Z-Transform of COS Signal Type-1
- Z-Transform of COS Signal Type-2
- GATE Problem 1 on Z-Transform
- GATE Problem 2 on Z-Transform
- GATE Problem 3 on Z-Transform
- Initial & Final Value Theorems in Z-Transform
- Basic Z-Transform Pairs
- Region of Convergence of Z-Transform
- Properties of Z-Transform
- Linearity Property of Z-Transform
- Time Shifting Propetry of Z-Transform
- Scaling Property of Z-Transform
- Differentiation in Z-Domain Property of Z-Transform
- Problem on 1 Differentiation in Z-Domain Property
- Problem on 2 Differentiation in Z-Domain Property
- Problem 2 on Inverse Z-Transform
- Multiplication & Convolution Property of Z-Transform
- Problem on Convolution Property of Z-Transform
- Problem on Initial Value Theorem
- Problem on System Function & Impulse Response
- Unilateral Z-Transform
- Causality & Stability According to ROC of Z-Transform
- Important ROCs Related to Impulse Function
- Problem on Z-Transform
- Problem on ROC
- Problem on a Stable but not Casual
- Problem on a System to be Causal & Stable
- Methods to Calculate Inverse Z-Transform
- Long Division Method to Calculate Inverse Z-Transform
- Direct Computation Method to Calculate Inverse Z-Transform
- Residue Theorem to Calculate Inverse Z-Transform
- ROC of a Discrete Time Sequence in Z-Transform
- Problem on Linear Discrete Time System of Z-Transform
- Problem on Final Value Theorem
- Problem on Response of the System
- GATE Problem on ROC
Whiteboard
Signals and Systems
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.
Instructor
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.
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