E & T Engineer,Cracked GATE with AIR 26,Cracked ESE written and ISRO written,Worked in Capgemini and BARC,Have passion to teach for GATE/IES

Abhishek Gupta

The course is on signals and systems in which we will learn about what is signals, what is systems, types of signals and systems, we will do operations on signals, convolution, transforms-Fourier, Laplace and z, sampling of signals, correlation and autocorrelation, orthogonality of signals, types of filters with examples. Tags: Signals and Systems notes, Signals and Systems notes for GATE, 	signals and systems GATE questions.

GATE (Graduate Aptitude Test in Engineering) 2020 & 2021 complete preparation with best educators. Know about the detailed syllabus, best books, exam pattern and dates, previous year question papers a

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English

Signals and Systems for GATE Aspirants

GATE (Graduate Aptitude Test In Engineering) Preparation

Crash Course

Practice & Strategy

Electrical Engineering

GATE & ESE - EE, EC

GATE, ESE and IIT-JAM

Ace the toughest competitive and government exams in India 

Test Preparation

This lesson consists of an overview of the course, about the knowledge of basic communication system i.e how communication occurs, about what is signals with some examples, about zero crossover with some examples.

Overview: Basics of Communication and Signal

This lesson consist of knowledge of operations on signals i.e, time shifting, in which we learn about the delayed and advanced signals. Time scaling in which we learn about expansion and compression, time reversing, the combined effect of all operations. We will learn two methods to solve the combined operation.

Operations on Signals

This lesson contains basic definition of impulse signal, its knowledge from manageable signal with example, properties of impulse signal-shifting, scaling and reversing, sampling and sifting.

Impulse Signal

The lesson consist of defination of unit step signal, knowledge of its value at t equals to zero, operations on step signal, finite duration signal, definition of ramp signal, time scaling of unit step and ramp signal.

Unit Step and Ramp Signals

This lesson focuses on the basic defination of differentiation and integration, how to relate all basic signals wrt each other by differentiation and integration with examples, types of signals i.e continuous and discrete signals.

Differentiation and Integration,Types of Signals

This lesson consists of defination of discrete signal, defination of basic signals in discrete form and how to relate them wrt each other, operations on discrete signals-shifting, scaling, reversing with example and combined operation and their rules.

Discrete Signals

This lesson consist of knowledge of types of signals - defination of analog signal, digital signal, real signal, complex signal, deterministic signal, random signal, causal signal,non-causal signal, bounded signal, unbounded signal with examples.

Types of Signals

In this lesson, Abhishek explains the definition of even and odd signals for both real and complex signals with example, properties of even and odd signals, properties of even conjugate and odd conjugate signal, non symmetric signal - definition, and example.

Even and Odd signals

In this lesson, Abhishek explains the definition of periodic and aperiodic signal with an example, calculation of period for continuous and discrete signal with an example, calculation of period for combined continuous and discrete signal and their rules.

Periodic and Aperiodic Signals

In this lesson Abhishek explains the defination of energy and power signals, how to identify whether the signal is energy signal or power signal, calculation of energy and power for both continuous and discrete signal and also for periodic and aperiodic signal and their rules, orthogonal signals, power and energy for both orthogonal and non orthogonal signals.

Energy and Power Signals, Orthogonality of Signals

This lesson consists the knowledge of what is a system, how we can describe the system in different forms, Types of System - linear and non-linear system with definition and examples, also how to check whether given system is linear or not with an example.

What is System and Types of System - Part 1

This lesson consists of the knowledge of Types of System - Time invariant and time variant, Causal and Non-causal system with definition and examples, also how to check whether given system is causal or not.

Types of System - Part 2

This lesson consists of the knowledge of Types of System - Static and Dynamic System, Stable and Unstable system with definition and examples, also some miscellaneous questions.

Types of System - Part 3

This lesson consists of the knowledge of Types of System - Invertible and Non-Invertible System with definition and examples, also how to check whether given system is Non-Invertible, also it consists the knowledge of Convolution with definition and example.

Types of System and Convolution

This lesson consists of the knowledge of Convolution on discrete signals. We will see two methods in this lesson-Graphical method with example and tricks, an Analytical method with example, also knowledge of Convolution of a signal with impulse signal.

Convolution on Discrete Signals

This lesson consists of the knowledge of Convolution of a discrete signal - tabular method with an example, Convolution of continuous signal - differentiation method with an example, discussion of analytical method, tricks for basic systems​.

Convolution on Continuous Signal - Part 1

This lesson consists of the knowledge of Convolution of continuous signal - graphical method with an example, tricks for doing Convolution of two rectangular pulses of the same width and different width, Properties of Convolution of a continuous signal.

Convolution on Continuous Signal - Part 2

This lesson consists of the knowledge of Properties of Convolution - differentiation, distributive, associative. Properties of h(t) i.e unit impulse response system - causal ,anti-causal, static.

Properties of Convolution

This lesson consists of the knowledge of Properties of h(t) - stability, Invertible, conversion of unit step response to unit impulse response and vice versa.

Properties of h(t)

This lesson consists of the knowledge of important topic i.e of Eigen function with definition, example and question on it, also what is the closest mathematical way in which we can define any physical system, about L.C.C.D.E.

Eigen Function

This lesson consist the knowledge of basics of Fourier series with respect to vectors and also knowledge of real or trigonometric Fourier series and its amplitude and phase form and the formulae for calculating its coefficients.

Real or Trigonometric Fourier Series

This lesson consist the knowledge of complex Fourier series, formulae for calculating coefficients,even conjugate symmetric nature of complex coefficient and few questions.

Complex Fourier Series

This lesson consist the knowledge of Properties of complex Fourier series with examples.

Properties of Complex Fourier series

This lesson consist the knowledge of dependency of complex Fourier series coefficient on n,formula for calculating power and knowledge regarding half wave symmetry.

Important concepts on Complex Fourier Series

This lesson consist the knowledge of Dirichlet's conditions,and how to achieve Continuous time Fourier Transform from continuous time Fourier series and also the condition required for finding Fourier Transform.

Dirichlet's Conditions and Transforming CTFS to CTFT

This lesson consist the knowledge of how​ to find Fourier Transform of periodic signal, Fourier transform for gate signal and also the knowledge regarding sampling function and its properties.

Fourier Transform for Periodic Signal, Sampling Function

This lesson consist the knowledge of Properties of Fourier Transform and questions regarding same.

Properties of Fourier Transform: Part 1

This lesson consist the knowledge of Properties of Fourier Transform with examples

Properties of Fourier Transform: Part 2

This lesson consist the knowledge of duality and area properties of Fourier Transform with examples.

Properties of Fourier Transform: Part 3

This lesson consist the knowledge of Properties of Fourier Transform and knowledge regarding energy spectral density.

Properties of Fourier Transform, Energy Spectral Density

This lesson consist the knowledge of effect of modulation on energy of signal and knowledge regarding the properties that any system must have for distortionless transmission.

Effect of Modulation on Energy, Distortionless Transmission

This lesson consist the knowledge of 3db bandwidth, about prototype low pass filter and what is the effect of modulation on energy of signal.

3dB Bandwidth

This lesson consist the knowledge of correlation and auto correlation for both energy and power signals and their properties.

Correlation and Autocorrelation of Signals

This lesson consist the knowledge of all the formulas that are needed for calculating energy and power of signal.

Important Formulae for Energy and Power

This lesson consist the knowledge of how to find frequency of combined signals and also the knowledge regarding sampling of signals- what is sampling frequency,aliasing effect,over sampling, critical sampling and under sampling

Sampling

This lesson consist the knowledge of Discrete Time Fourier Transform and questions on same topic.

Discrete Time Fourier Transform

This lesson consist the knowledge of periodic nature of DTFT and also how to calculate inverse DTFT with examples.

Inverse DTFT

This lesson consists the knowledge of how DTFT will preserve CTFT, system for DTFT and also the formula for calculating energy and few questions.

Important Concept on DTFT

This lesson consists the knowledge of Discrete-Time Fourier series, properties of DTFT, also information regarding DFT and few questions.

Discrete Time Fourier Series

This lesson consists the knowledge of Circular Convolution and how to achieve linear Convolution from Circular Convolution.

Circular Convolution

This lesson consists the knowledge of duality property, N-point FFT and inverse DFT by butterfly structure,also no. of multiplication and addition for N-point FFT.

Fast Fourier Transform

This lesson consists the knowledge of distortionless transmission, some miscellaneous concepts and also how to find whether a system is linear or not in a discrete case.

Miscellaneous

This lesson consists the knowledge of why Laplace transform came, it's necessity and also the properties of Laplace transform.

Why Laplace Transform Came?

This lesson consists the questions on how to find Laplace transforms.

Laplace Transform of Few Signals

This lesson consist the knowledge of basic Laplace transforms and also information regarding properties of ROC

Basics of Laplace transform

This lesson consists the knowledge of bilateral and unilateral transform with examples.

Bilateral and Unilateral Laplace Transform

This lesson consists the knowledge of initial value and final value theorem and also the knowledge of how to find whether given Laplace transform is stable or not, causal or not.

Initial Value, Final Value Theorem and how to find whether L.T is Stable and Causal

This lesson consists the knowledge about the inverse Laplace transform with examples and also it contains the knowledge regarding how many ILT exist for any signal.

Inverse Laplace transform

This lesson consists the knowledge of Z transform basics - how we got z-transform from Laplace transform both in a mathematical way and in a pictorial way.

Z transform Basics

This lesson consists the knowledge of Properties of Z transform-linearity, conjugation, convolution​, time shifting, differentiation and so on and also question on Z-transform.

Properties of Z transform

This lesson consists some important questions on how to find Z transform and also how to find whether the system is causal or not by looking z-transform.

Questions on Z Transform

This lesson consists the knowledge of Properties of ROC and also how to find DTFT from Z transform and its pre- requisite.

ROC of Z transform

This lesson consists the knowledge of bilateral and unilateral z-transform with examples and also the knowledge of initial value and final value theorem with its rules.

Bilateral and Unilateral Transform

This lesson consists the knowledge of how to calculate the inverse Z transform- by using direct formula, by using partial fraction method and by using long division method with examples.

Inverse Z Transform: Part 1

The lesson contains the knowledge of how to fond whether given z transform is stable or not ,also whether it is causal or not.It also contains important question regarding ROC

Inverse Z Transform: Part 2

This lesson consist the knowledge of doublet function- basics and properties,also contains the knowledge of Hilbert transform- basics and properties.

Doublet Function and Hilbert Transform

This lesson consistS the knowledge of low pass filter, high pass filter, band pass filter and band stop filter with diagrams.

Filters

This lesson consistS the knowledge of infinite impulse response - basics, also it contains information about finite impulse response.

Infinite Impulse Response and Finite Impulse Response

This lesson consists the knowledge of linear filter - how its equation look, also how to find zeros. Also, it contains the knowledge of All pass filter-its equation and symmetric nature of poles and zeros.

Linear Filter and All Pass Filter

The lesson contains the knowledge about the total response of the system,and also the knowledge of frequency warping with basics and diagram.

Total Response and Frequency Warping

GATE Coaching for ECE/EE/CE/ME/IN/CS/IT.
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Defined for Quality Education.
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GATE 2019 EE Detailed Solution

Faculty of GATE/ESE (Electrical Engineering) , Expertise in Electrical Core | Jony Ive Award Winner 2018 | Use code “PAWANCLIVE” to join

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(Hindi) Basics of Electrical Machine

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In this course, Nikhil discusses the solutions of GATE 2018 Paper along with necessary concepts.

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1000+ GATE lectures•University Syllabus Coverage•M.tech, B.tech (ECE), Former automation engineer•Jony Ive Award’18, Top Educator’17

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In this course, I will solve GATE 2018 questions of Digital Electronics.

GATE 2018 Paper Solved: Digital Electronics

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In this course, Tanya Bhatia explains all the topics related to IES syllabus. The course will be beneficial for all aspirants.

Preparation For Indian Economic Services - IES

#Gate Ranker # Mtech from JEC Jabalpur. use code " MACHINE20" to attend my Classes. I don't teach "I simply explain the topic."

Ravendra Yadav

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Lessons

60 lessons • 11h 30m

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Overview: Basics of Communication and Signal

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Operations on Signals

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Impulse Signal

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Unit Step and Ramp Signals

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Differentiation and Integration,Types of Signals

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Discrete Signals

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Types of Signals

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Even and Odd signals

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Periodic and Aperiodic Signals

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Energy and Power Signals, Orthogonality of Signals

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