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Introduction to Signals & Systems
2
mod01lec01- Real and Complex Number
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mod01lec02-Sinusoid and Phasor
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mod01lec03-Limits and Continuity
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mod01lec04-Differentiation and Integration
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mod01lec05-L’Hospital’s Rule
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mod01lec06-Input-Output Relation for RLC circuits
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mod01lec07-Unit Step and Delta function
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mod02lec08-Continuous and Discrete Time Systems
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Even Signal; Odd Signal
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mod02lec10-Orthogonality of Signals
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mod02lec11-Shifting and Scaling in Continuous Time - I
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mod02lec12-Shifting and Scaling in Continuous Time - II
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mod02lec13-Shifting and Scaling in Discrete Time
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mod02lec14-Signal and Noise
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mod02lec15-Signals in the Physical World
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mod02lec16-Signals and Sensory Perception
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Frequency Domain Representation
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Definition of Fourier Transform
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Fourier Transform Examples - I
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Dirichlet Conditions
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Inverse Fourier Transform
23
Fourier Transform Examples - II
24
Frequency-Time Uncertainty Relation
25
Fourier Transform : Linearity, Time Shifting and Time Scaling
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Fourier Transform : Derivative Property
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Fourier Transform : Multiplication and Convolution Property
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Fourier Transform : Integral Property
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Fourier Transform Example - III
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Fourier Transform Example - IV
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Fourier Transform of Noise
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Types of Noise
33
Overview of Systems and General Properties
34
Linearity and Time Invariance
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LTI System Examples
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Frequency Response of RLC circuits - I
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Frequency Response of RLC circuits - II
38
LCCDE Representation of Continuous-Time LTI Systems
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Frequency Domain Representation of LCCDE Systems
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Time Domain Representation of LTI Systems
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Continuous-Time Convolution Integral
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Continuous-Time Convolution Example I
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Continuous-Time Convolution Example II
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Continuous-Time Convolution Example III
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LTI Systems : Commutative, Distributive and Associative
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LTI Systems : Memorylessness and Invertibility
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LTI Systems : Causality and Stability
48
Fourier Transform in Complex Frequency Domain
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Laplace Transform : Poles and Zeros
50
Laplace Transform : Region of Convergence [ROC]
51
Laplace Transform Examples I
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Laplace Transform Examples II
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Laplace Analysis of LTI Systems
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Laplace Analysis of RLC Circuits I
55
Laplace Transform : Linearity, Shifting and Scaling
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Laplace Transform : Derivative and Integral
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Laplace Transform : Causality and Stability
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Laplace Analysis of LTI Systems Example I
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Laplace Analysis of LTI Systems Example II
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Laplace Analysis of First Order RLC Circuits
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Laplace Analysis of Second Order RLC Circuits
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Fourier Transform of Periodic Signals
63
Fourier Series Representation in Continuous-Time
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Fourier Series Properties I
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Fourier Series Properties II
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LTI System Response for Periodic Input Signal
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Fourier Series in Continuous-Time : Examples I
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Fourier Series in Continuous-Time : Examples II
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mod10lec68-Discrete-Time Convolution Sum
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mod10lec69-Discrete-Time Convolution Sum Examples and Properties
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mod10lec70-LCCDE Representation of Discrete-Time LTI Systems
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mod10lec71-Impulse Train Sampling
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mod10lec72-Reconstruction of Continuous-Time Signal
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mod10lec73-Nyquist Sampling Theorem and Aliasing
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mod11lec74-Fourier Transform of Sampled Signals
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mod11lec75-DTFT Examples I
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mod11lec76-DTFT Properties I
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mod11lec77-DTFT Properties II
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mod11lec78-DTFT Properties III
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mod11lec79-DTFT Examples II
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mod12lec80-DTFT in Complex Frequency Domain
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mod12lec81-Z-Transform : Properties of ROC
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mod12lec82-Z-Transform Properties II
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mod12lec83-Z-Transform Properties II
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mod12lec84-Z-Transform Properties III
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mod12lec85-Z-Transform Examples I
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mod12lec86-Z-Transform Examples II
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mod12lec87-Block Diagram Representation
Description:
NOTE: In this course, the explanation will be in Hindi, but the scientific terms, assignments and exams will be in English.
COURSE OUTLINE: This course will introduce the students to the basics of signal processing and systems analysis. We will focus on continuous-time signals and systems, but also give an introduction to discrete-time signals and systems towards the end of the course. This is a very important course for all engineers working in the electronics and communications domain.
Signals and Systems
NPTEL
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#Electrical Engineering
#Signal Processing
#Z-Transform
#Fourier Transform
#Mathematics
#Mathematical Analysis
#Laplace Transform
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