Lectures NPTEL Course on Principles of Signals and System
by Prof. Aditya K. Jagannatham , IIT Kanpur
Introduction to Signals and Systems, Signal Classification - Continuous and Discrete Time Signals
Analog and Digital Signals
Energy and Power Signals
Real Exponential Signals
Memory/Memory-less and Causal/ Non-Causal Systems
Properties of Linear Systems
Example Problems-1
Example Problems-2
Example Problems-3
Properties and Analysis of LTI Systems-I
Properties and Analysis of LTI Systems-II
Properties and Analysis of LTI Systems-III
Properties of Discrete Time LTI Systems
Example Problems LTI Systems-I
Example Problems LTI Systems-II`
Example Problems DT-LTI Systems
Z-Transform
Z-Transform Properties-I
Z-Transform Properties-II
Z-Transform of LTI Systems
Z-Transform Examples-I
Z-Transform Examples-II
Z-Transform Examples-III
Z-Transform Examples-IV
Inverse Z-Transform
Fourier Analysis Introduction
Complex Exponential and Trigonometric FS
Conditions for Existence of FS
Fourier Analysis of Discrete Time Signals and Systems - Introduction
Fourier Analysis of Discrete Time Signals - Duality, Parseval's Theorem
Discrete Fourier Transform - Definition, Inverse DFT, Relation between DFT and DFS, Relation between DFT and DTFT, Properties - Linearity, Time Shifting
Discrete Fourier Transform: Properties - Conjugation, Frequency Shift, Duality, Circular Convolution, Multiplication, Parseval's Relation, Example Problems for Fourier Analysis of Discrete Time Signals
Example Problems: DFS Analysis of Discrete Time Signals
DFT Example Problems
Example Problems: DFT, IDFT in Matrix form
Group/ Phase Delay - Part I
Group/ Phase Delay - Part II
IIR Filter Structures: DF-I, DF-II
IIR Filter Structures: Transpose Form
IIR Filter Structures: Example
IIR Filter Structures: Cascade Form
IIR Filter: Parallel Form - I & II
