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Lecture 25 of 76Week-5 Introduction to z-Transform, Properties of z-Transform, Region of Convergence, Inverse z-Transform
Lecture-25- Z-Transform Properties-I
Prof. Aditya Jagannatham · IIT Kanpur
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All the lectures
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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 17-03-2021