NPTEL : NOC:Digital Signal Processing and its Applications (Electrical Engineering)

Co-ordinators : Prof. V. M. Gadre


Lecture 1 - Introduction: Digital signal processing and its objectives

Lecture 2 - Introduction to sampling and Fourier Transform

Lecture 3 - Sampling of sine wave and associate complication

Lecture 4 - Review of Sampling Theorem

Lecture 5 - Idealized Sampling, Reconstruction

Lecture 6 - Filters And Discrete System

Lecture 7 - Answering questions from previous lectures

Lecture 8 - Desired requirements for discrete system

Lecture 9 - Introduction to phasors

Lecture 10 - Advantages of phasors in discrete systems

Lecture 11 - What do we want from a discrete system?

Lecture 12 - Linearity - Homogeneity and Additivity

Lecture 13 - Shift Invariance and Characterization of LTI systems

Lecture 14 - Characterization of LSI system using it’s impulse response

Lecture 15 - Introduction to convolution

Lecture 16 - Convolution: Deeper ideas and understanding

Lecture 17 - Characterisation of LSI systems, Convolution-properties

Lecture 18 - Response of LSI Systems to Complex Sinusoids

Lecture 19 - Convergence of Convolution and Bibo Stability

Lecture 20 - Commutativity and Associativity

Lecture 21 - BIBO Stability of an LSI system

Lecture 22 - Causality and memory of an LSI system

Lecture 23 - Frequency response of an LSI system

Lecture 24 - Introduction and conditions of Stability

Lecture 25 - Vectors and Inner Product

Lecture 26 - Interpretation of Frequency Response as Dot Product

Lecture 27 - Interpretation of Frequency Response as Eigenvalues

Lecture 28 - Discrete time fourier transform

Lecture 29 - DTFT in LSI System and Convolution Theorem.

Lecture 30 - Definitions of sequences and Properties of DTFT

Lecture 31 - Introduction to DTFT, IDTFT

Lecture 32 - Dual to convolution property

Lecture 33 - Multiplication Property, Introduction to Parseval’s theorem

Lecture 34 - Introduction and Property of DTFT

Lecture 35 - Review of Inverse DTFT

Lecture 36 - Parseval’s Theorem and energy and time spectral density

Lecture 37 - Discussion on Unit Step

Lecture 38 - Introduction to Z transform

Lecture 39 - Example of Z transform

Lecture 40 - Region of Convergence

Lecture 41 - Properties of Z transform

Lecture 42 - Z- Transform

Lecture 43 - Rational System

Lecture 44 - Introduction and Examples of Rational Z Transform and their Inverses

Lecture 45 - Double Pole Examples and their Inverse Z Transform

Lecture 46 - Partial Fraction Decomposition

Lecture 47 - LSI System Examples

Lecture 48 - Why are Rational Systems so important?

Lecture 49 - Solving Linear constant coefficient difference equations which are valid over a finite range of time

Lecture 50 - Introduction to Resonance in Rational Systems

Lecture 51 - Characterization of Rational LSI system

Lecture 52 - Causality and stability of the ROC of the system function

Lecture 53 - Recap of Rational Systems and Discrete Time Filters

Lecture 54 - Specifications for Filter Design

Lecture 55 - Four Ideal Piecewise Constant Filters

Lecture 56 - Important Characteristics Of Ideal Filters

Lecture 57 - Synthesis of Discrete Time Filters, Realizable specifications

Lecture 58 - Realistic Specifications for low pass filter. Filter Design Process

Lecture 59 - Introduction to Filter Design. Analog IIR Filter,FIR discrete-time filter, IIR discrete-time filter

Lecture 60 - Analog to discrete transform

Lecture 61 - Intuitive transforms, Bilinear Transformation

Lecture 62 - Steps for IIR filter design

Lecture 63 - Analog filter design using Butterworth Approximation

Lecture 64 - Butterworth filter Derivation And Analysis of butterworth system function

Lecture 65 - Chebychev filter Derivation

Lecture 66 - Midsem paper review discussion

Lecture 67 - The Chebyschev Approximation

Lecture 68 - Next step in design: Obtain poles

Lecture 69 - Introduction to Frequency Transformations in the Analog Domain

Lecture 70 - High pass transformation

Lecture 71 - Band pass transformation

Lecture 72 - Frequency Transformation

Lecture 73 - Different types of filters

Lecture 74 - Impulse invariant method and ideal impulse response

Lecture 75 - Design of FIR of length (2N+1) by the truncation method,Plotting the function V(w)

Lecture 76 - IIR filter using rectangular window, IIR filter using triangular window

Lecture 77 - Proof that frequency response of an fir filter using rectangular window function centred at 0 is real

Lecture 78 - Introduction to window functions

Lecture 79 - Examples of window functions

Lecture 80 - Explanation of Gibb’s Phenomenon and it’s application

Lecture 81 - Comparison of FIR And IIR Filter’s

Lecture 82 - Comparison of FIR And IIR Filter’s

Lecture 83 - Comparison of FIR And IIR Filter’s

Lecture 84 - Introduction and approach to realization (causal rational system)

Lecture 85 - Comprehension of Signal Flow Graphs and Achievement of Pseudo Assembly Language Code

Lecture 86 - Introduction to IIR Filter Realization and Cascade Structure

Lecture 87 - Cascade Parallel Structure

Lecture 88 - Lattice Structure

Lecture 89 - Recap And Review of Lattice Structure, Realization of FIR Function

Lecture 90 - Backward recursion, Change in the recursive equation of lattice

Lecture 91 - Lattice structure for an arbitrary rational system

Lecture 92 - Example realization of lattice structure for rational system

Lecture 93 - Introductory Remarks of Discrete Fourier Transform and Frequency Domain Sampling

Lecture 94 - Principle of Duality, The Circular Convolution