Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by Ca
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 continuous input x(t) by expressing x(t) in terms of impulses.
W
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 discrete time unit impulse
Signals as a linear combination of
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 and difference equations.
We shall look at the propertie
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 their system properties
Continuous-time systems
Discre
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?
Signals treated as vectors.
Vectors of countable and unco
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 Signals
Set of periodic signals as a vector space
Ortho
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 contexts.
Dirichlet Conditions For Pointwise Convergence .
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 Fourier and inverse Fourier transform pair
Dirichlet Co
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 both continuous and discrete domain
Associative
Commut
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-invariance
stability
causality
We shall even deduce some
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by Ca
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 will try to classify signals as continuous and discrete
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' and 'systems' and then go on further to introduce
to
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 examples.
We will understand the meaning of the term 'Syste
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 linearity and shift invariance i.e. LSI (Linear shift invariant
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 function
Unit step function
Their relation in both continuous
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 Transform of Periodic signals
Fourier transform of x(-
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 systems
Duality of the Fourier Transform
Properties of the
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 Transform- the Convolution Theorem
We are going to learn ab
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 signal processing and Discrete Fourier Transform. The
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. The Laplace Transform differs
from Fourier Transform
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 Transform as well as Z-Transform along with their
respect
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 systems and instable systems using the concept of ROC.
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 Transform for the study of Continuous Time (C.T.) signals
and
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, zeroes and rational systems. In this lecture we will con
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 started with their respective definitions,
similarities in p
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 well as Z-Transform. We require these properties
when sol