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Module 1 : Signals in Natural Domain
Lecture 9 : Continuous LTI Systems
Objectives
In this lecture you will learn the following
We shall derive the response of a LTI system for any arbitrary continuou
Module 1 : Signals in Natural Domain
Lecture 7 : Linear Shift Invariant Systems
Objectives
In this lecture you will learn the following
Linear Shift-Invariant systems, and their importance
The discret
Module 1 : Signals in Natural Domain
Lecture 11 : Differential and Difference Equations
Objectives
In this lecture you will learn the following
We shall look at the systems described by differential a
Module 1 : Signals in Natural Domain
Lecture 8 : Classification of Systems
Objectives
In this lecture you will learn the following
We shall classify systems under the following categories and tabulate
Module 2 : Signals in Frequency Domain
Lecture 12 : Introduction to Transformations
Objectives
In this lecture you will learn the following
Why do we need transforms?
What is the Fourier transform?
Si
Module 2 : Signals in Frequency Domain
Lecture 13 : Fourier Series Representation of Periodic Signals
Objectives
In this lecture you will learn the following
Fourier Series representation of Periodic
Module 2 : Signals in Frequency Domain
Lecture 14 : Convergence of Fourier Series and Gibb's Phenomenon
Objectives
In this lecture you will learn the following
To study convergence in 2 different cont
Module 2: Signals in Frequency Domain
Lecture 15 : Fourier Transform
Objectives
In this lecture you will learn the following
Fourier Series extended to aperiodic signals
Inverse Fourier transform
The
Module 1 : Signals in Natural Domain
Lecture 10 : Properties of LTI Systems
Objectives
In this lecture you will learn the following
We shall look into the properties of convolution (as shown below) in
Module 1 : Signals in Natural Domain
Lecture 4 : Properties of Systems
Objectives
In this lecture you will learn the following
We shall look at different system properties like
memory
linearityshift-i
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Module 1 : Signals In Natural Domain
Lecture 2 : Description of Signals
Objectives
In this course you will learn the following
We will look into another definition of a signals in context to sets.
We
Module 1 : Signals In Natural Domain
Lecture 1 : Introduction
Objectives
In this lecture you will learn the following
First of all we will try to look into the formal definitions of the terms 'signals
Module 1 : Signals in Natural Domain
Lecture 3 : Description of Systems
Objectives
In this lecture you will learn the following
We will try understand ."what are systems?" , with the help of some exam
Module 1 : Signals in Natural Domain
Lecture 5 : Discrete-Time Convolution
Objectives
In this lecture you will learn the following
We shall look into the properties of systems satisfying both linearit
Module 1 : Signals in Natural Domain
Lecture 6 : Basic Signals in Detail
Objectives
In this lecture you will learn the following
We shall look at some of the basic signals namely .
Unit impulse functi
Module 2 : Signals in Frequency Domain
Lecture 17 : Fourier Transform of periodic signals and some Basic Properties of Fourier Transform
Objectives
In this lecture you will learn the following
Fourier
Module 2 : Signals in Frequency Domain
Lecture 16 : Fourier Transform as a System
Objectives
In this lecture you will learn the following
The Fourier Transform and the Inverse Fourier Transform as sys
Module 2 : Signals in Frequency Domain
Lecture 18 : The Convolution Theorem
Objectives
In this lecture you will learn the following
We shall prove the most important theorem regarding the Fourier Tran
Module 3 : Sampling and Reconstruction
Lecture 29 : Inverse Discrete Time Fourier Transform
Objectives:
Scope of this Lecture:
In the previous lectures we built up concepts of sampling , discrete time
Module 4 : Laplace and Z Transform
Lecture 30 : Laplace Transform
Objectives:
Scope of this lecture:
Laplace Transform is a powerful tool for analysis and design of Continuous Time signals and systems
Module 4 : Laplace and Z Transform
Lecture 32 : Properties of Laplace and Z Transform
Objectives:
Scope of this Lecture:
In the previous lecture you have learnt about the ROC conditions for Laplace Tr
Module 4 : Laplace and Z Transform
Lecture 36 : Analysis of LTI Systems with Rational System Functions
Objectives
Scope of this Lecture:
Previously we understood the meaning of causal systems, stable
Module 4 : Laplace and Z Transform
Lecture 31 : Z Transform and Region of Convergence
Objectives:
Scope of this lecture:
We have already seen the implementation of Fourier Transform and Laplace Transf
Module 4 : Laplace and Z Transform
Lecture 35 : Inverse Laplace and Z Transform of Rational Functions
Objectives
Scope of this Lecture:
In the previous lecture we have studied the concepts of poles, z
Module 4 : Laplace and Z Transform
Lecture 34 : Rational System Functions
Objectives:
Scope of this Lecture:
In the previous lectures we have systematically studied Laplace and Z- Transforms. We start
Module 4 : Laplace and Z Transform
Lecture 33 : Inverse Laplace and Z Transform
Objectives:
Scope of this lecture:
In the previous lecture we had seen the various properties of Laplace Transform as we