Course10810410076 lectures
Principles of Signals and Systems
Prof. Aditya Jagannatham · IIT Kanpur
Lectures
Week-1 Introduction to Signals and Systems, Signal Classification
- lecture 01-Principles of Signals and Systems- Introduction to Signals and Systems, Signal Classification - Continuous and Discrete Time Signals
- lecture 02-Analog and Digital Signals
- lecture 03-Energy and Power Signals
- lecture 04-Real Exponential Signals
- lecture 05-Memory/Memory-less and Causal/ Non-Causal Systems
Week-2 Properties of LTI Systems
- lecture 06-Properties of Linear Systems
- lecture 07-Example Problems-1
- lecture 08-Example Problems-2
- lecture 09-Example Problem-3
- lecture 10 - Properties and Analysis of LTI Systems-I
- lecture 11 - Properties and Analysis of LTI Systems-II
Week-3 Examples on Properties of Linear Systems
- Lecture-12-Properties and Analysis of LTI Systems-III
- Lecture-13-Properties of Discrete Time LTI Systems
- Lecture-14-Example Problems LTI Systems-I
- Lecture-15-Example Problems LTI Systems-II
- Lecture-16- Example Problems DT-LTI Systems
- Lecture-17-Laplace Transform
Week-4 Laplace Transform, Properties of Laplace Transform, Inverse Laplace Transform
- Lecture-18-Laplace Transform Properties-I
- Lecture-19- Laplace Transform Properties-II
- Lecture-20- Laplace Transform of LTI Systems
- Lecture-21- Laplace Transform Example Problems-I
- Lecture-22- Laplace Transform Example Problems-II
- Lecture-23-Laplace Transform of RL, RC Circuit
Week-5 Introduction to z-Transform, Properties of z-Transform, Region of Convergence, Inverse z-Transform
- Lecture-24- Z-Transform
- Lecture-25- Z-Transform Properties-I
- Lecture-26-Z-Transform Properties-II
- Lecture-27-Z-Transform of LTI Systems
- Lecture-28-Z-Transform Examples-I
- Lecture-29-Z-Transform Examples-II
Week-6 Examples Z-Transform
- Lecture-30- Z-Transform Examples-III
- Lecture-31- Z-Transform Examples-IV
- Lecture-32-Inverse Z-Transform
- Lecture-33- Fourier Analysis Introduction
- Lecture-34-Complex Exponential and Trigonometric FS
- Lecture-35-Conditions for Existence of FS
Week-7 : Introduction to Fourier Transform, Properties of Fourier Transform, Frequency Response of Continuous Time…
- Lecture-36- Fourier Transform (FT) Introduction
- Lecture-37-Properties of Fourier Transform-I
- Lecture-38-Properties of Fourier Transform-I|
- Lecture-39-Fourier Transform - Parseval's Relation
- Lecture-40-Fourier Transform of LTI Systems
- Lecture-41-FT- Ideal and Non-Ideal Filters
Week-8 Examples of Fourier Transform and Frequency Response
- Lecture-42- Fourier Analysis Examples-I
- Lecture-43-Fourier Analysis Examples-II
- Lecture-44-Fourier Analysis Examples-III
- Lecture-45-Fourier Analysis Examples-IV
- Lecture-46-Fourier Analysis Examples-V
- Lecture-47-Fourier Analysis Examples-VI
- Lecture-48-Fourier Analysis Bode Plot-I
- Lecture-49-Fourier Analysis Bode Plot-II
Week 9-Examples of Fourier Transform, Sampling and Fourier Analysis of Discrete time Signals
- Lecture-50-Fourier Transform Examples: Filtering - Ideal Low Pass Filter
- Lecture-51-Fourier Transform Problems: Unit Step Response of RC Circuit, Sampling of Continuous Signal
- Lecture-52-Sampling: Spectrum of Sampled Signal, Nyquist Criterion
- Lecture-53-Sampling: Reconstruction from Sampled Signal
- Lecture-54-Fourier Analysis of Discrete Time Signals and Systems - Introduction
- Lecture-55-Fourier Analysis of Discrete Time Signals - Duality, Parseval's Theorem
Week-10 Discrete Time Fourier Transform[DTFT] and Discrete Fourier Transform [DFT]
- Lecture-56-Discrete Time Fourier Transform: Definition, Inverse DTFT, Convergence, Relation between DTFT and z-Transform, DTFT of Common Signals
- Lecture-57-Discrete Time Fourier Transform: Properties of DTFT - Linearity, Time Shifting, Frequency Shifting, Conjugation, Time-Reversal, Duality
- Lecture-58-Discrete Time Fourier Transform: Properties of DTFT - Differentiation in Frequency, Difference in Time, Convolution, Multiplication, Parseval's Relation
- Lecture-59-DTFT: Discrete Time LTI Systems - LTI Systems Characterized by Difference Equations
- Lecture-60-Discrete Fourier Transform - Definition, Inverse DFT, Relation between DFT and DFS, Relation between DFT and DTFT, Properties - Linearity, Time Shifting
- Lecture-61-Discrete Fourier Transform: Properties - Conjugation, Frequency Shift, Duality, Circular Convolution, Multiplication, Parseval's Relation, Example Problems for Fourier Analysis of Discrete Time Signals
- Lecture-62-Example Problems: DFS Analysis of Discrete Time Signals, Problems on DTFT
Week-11 Examples on DTFT and DFT
- Lecture-63-Example Problems: DTFT of Cosine, Unit Step Signals
- Lecture-64-Principles of Signals and Systems | DTFT Example Problems-III | IIT KANPUR
- Lecture-65-Principles of Signals and Systems | DTFT Example Problems-IV | IIT KANPUR
- Lecture-66-Principles of Signals and Systems | DTFT Example Problems-V | IIT KANPUR
- Lecture-67-Principles of Signals and Systems | DFT Example Problems-I | IIT KANPUR
- Lecture-68-Principles of Signals and Systems | Example Problems: DFT, IDFT in Matrix form | IIT KANPUR
Week-12 : Group/Phase Delay and Digital Filters
- Lecture-69- Principles of Signals and Systems | Group/ Phase Delay - Part I | IIT KANPUR
- Lecture-70- Principles of Signals and Systems | Group/ Phase Delay - Part II | IIT KANPUR
- Lecture-71- Principles of Signals and Systems | IIR Filter Structures: DF-I, DF-II | IIT KANPUR
- Lecture-72- Principles of Signals and Systems | IIR Filter Structures: Transpose Form | IIT KANPUR
- Lecture-73- Principles of Signals and Systems | IIR Filter Structures: Example | IIT KANPUR
- Lecture-74- Principles of Signals and Systems | IIR Filter Structures: Cascade Form | IIT KANPUR
- Lecture-75- Principles of Signals and Systems | IIR Filter: Parallel Form - I & II | IIT KANPUR
Live Session
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Kanpur
- Department
- Electrical Engineering
- Teacher
- Prof. Aditya Jagannatham
- Level
- Undergraduate
- Language
- English
- Subjects
- Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
More like this
NPTEL101104001
Course
Computational Fluid Dynamics using the Finite Element Method
45 lectures · Source's player
NPTEL101104061
Course
Introduction to Airplane Performance
48 lectures · Source's player
NPTEL101104062
Course
Aircraft Stability and Control
61 lectures · Source's player
NPTEL101104078
Course
Introduction to Rocket Propulsion
60 lectures · Source's player
NPTEL101104084
Course
Introduction to Airbreathing Propulsion
60 lectures · Source's player
NPTEL101104450
Course
Applied Computational Fluid Dynamics
62 lectures · Source's player
NPTEL101104796
Course
Space Environment and its Effects on Orbital Spacecrafts
62 lectures · Source's player
NPTEL101104013
Course
Foundation of Scientific Computing
39 lectures · Video
NPTEL101104015
Course
Instability and Transition of Fluid Flows
39 lectures · Video
NPTEL101104018
Course
Introduction to Propulsion
40 lectures · Video
NPTEL101104019
Course
Jet and Rocket Propulsion
40 lectures · Video
NPTEL101104063
Course
Engineering Thermodynamics
38 lectures · Video