Lecture 4A: Answering questions from previous lectures.

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Lecture 4B: Desired requirements for discrete system

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Lecture 4C: Introduction to phasors

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Lecture 4D: Advantages of phasors in discrete systems

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Lecture 5A: What do we want from a discrete system?

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Lecture 5B: Linearity - Homogeneity and Additivity

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Lecture 5C: Shift Invariance and Characterization of LTI systems

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Lecture 6A: Characterization of LSI system using it's impulse response

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Lecture 6B: Introduction to convolution

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Lecture 6C: Convolution:deeper ideas and understanding

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Lecture 7A: Characterisation of LSI systems, Convolution-properties

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Lecture 7B: RESPONSE OF LSI SYSTEMS TO COMPLEX SINUSOIDS

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Lecture 7C: CONVERGENCE OF CONVOLUTION AND BIBO STABILITY

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Lecture 8A: Commutativity & Associativity

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Lecture 8B: BIBO Stability of an LSI system

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Lecture 8C: Causality and memory of an LSI system.

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Lecture 8D: Frequency response of an LSI system.

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Lecture 9A: Introduction and conditions of Stability

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Lecture 9B: Vectors and Inner Product.

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Lecture 9C: Interpretation of Frequency Response as Dot Product .

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Lecture 9D: Interpretation of Frequency Response as Eigenvalues

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Lecture 10A: Discrete time fourier transform

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Lecture 10B: DTFT in LSI System and Convolution Theorem.

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Lecture 10C: Definitions of sequences and Properties of DTFT.

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Lecture 11A: Introduction to DTFT, IDTFT

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Lecture 11B: Dual to convolution property

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Lecture 11C: Multiplication Property, Introduction to Parseval's theorem

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Lecture 12A: Introduction And Property of DTFT

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Lecture 12B: Review of Inverse DTFT

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Lecture 12C: Parseval's Theorem and energy and time spectral density

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Lecture 13A: Discussion on Unit Step

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Lecture 13B: Introduction to Z transform

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Lecture 13C: Example of Z transform

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Lecture 13D: Region of Convergence

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Lecture 13E: Properties of Z transform

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Lecture 14A: Z- Transform

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Lecture 14B: Rational System

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Lecture 15A: INTRODUCTION AND EXAMPLES OF RATIONAL Z TRANSFORM AND THEIR INVERSES

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Lecture 15B: DOUBLE POLE EXAMPLES AND THEIR INVERSE Z TRANSFORM

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Lecture 15C: PARTIAL FRACTION DECOMPOSITION

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Lecture 15D: LSI SYSTEM EXAMPLES

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Lecture 16A: Why are Rational Systems so important?

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Lecture 16B: Solving Linear constant coefficient difference equations which are valid over a finite range of time

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Lecture 16C: Introduction to Resonance in Rational Systems

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Lecture 17A: Characterization of Rational LSI system

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Lecture 17B: Causality and stability of the ROC of the system function

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Lecture 18A: RECAP OF RATIONAL SYSTEMS AND DISCRETE TIME FILTERS

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Lecture 18B: SPECIFICATIONS FOR FILTER DESIGN

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Lecture 18C: FOUR IDEAL PIECEWISE CONSTANT FILTERS

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Lecture 18D: IMPORTANT CHARACTERISTICS OF IDEAL FILTERS

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Lecture 19A: Synthesis of Discrete Time Filters, Realizable specifications

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Lecture 19B: Realistic Specifications for low pass filter. Filter Design Process

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Lecture 20A: Introduction to Filter Design. Analog IIR Filter,FIR discrete-time filter, IIR discrete-time filter.

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Lecture 20B: Analog to discrete transform

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Lecture 20C: Intuitive transforms, Bilinear Transformation

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Lecture 21A: Steps for IIR filter design

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Lecture 21B: Analog filter design using Butterworth Approximation

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Lecture 22A: Butterworth filter Derivation And Analysis of butterworth system function

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Lecture 22B: Chebychev filter Derivation

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Lecture 23: Midsem paper review discussion

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Lecture 24A: The Chebyschev Approximation

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Lecture 24B: Next step in design: Obtain poles

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Lecture 25A: Introduction to Frequency Transformations in the Analog Domain

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Lecture 25B: High pass transformation

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Lecture 25C: Band pass transformation

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Lecture 26A: Frequency Transformation

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Lecture 26B: Different types of filters

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Lecture 27A: Impulse invariant method and ideal impulse response

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Lecture 27B: Design of FIR of length (2N+1) by the truncation method,Plotting the function V(w)

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Lecture 28A: IIR filter using rectangular window, IIR filter using triangular window

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Lecture 28B: Proof that frequency response of an fir filter using rectangular window function centred at 0 is real.

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Lecture 29A: Introduction to window functions

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Lecture 29B: Examples of window functions

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Lecture 29C: Explanation of Gibb's Phenomenon and it's application

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Lecture 30A: Comparison of FIR And IIR Filter's

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Lecture 30B: Comparison of FIR And IIR Filter's

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Lecture 30C: Comparison of FIR And IIR Filter's

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Lecture 31A: Introduction and approach to realization (causal rational system)

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Lecture 31B: Comprehension of Signal Flow Graphs and Achievement of Pseudo Assembly Language Code.

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Lecture 32A: Introduction to IIR Filter Realization and Cascade Structure

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Lecture 32B: Cascade Parallel Structure

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Lecture 32C: Lattice Structure

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Lecture 33A: Recap And Review of Lattice Structure, Realization of FIR Function.

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Lecture 33B: Backward recursion, Change in the recursive equation of lattice.

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Lecture 34A: Lattice structure for an arbitrary rational system

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Lecture 34B: Example realization of lattice structure for rational system

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Lecture 35A: Introductory Remarks of Discrete Fourier Transform and Frequency Domain Sampling

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Lecture 35B: Principle of Duality, The Circular Convolution

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Live Session 28-01-2021

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Live Session 11-02-2021

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Live Session 04-03-2021

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Live Session 18-03-2021

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