1 Course Introduction - Digital Signal Processing and its Applications
2 Lecture 1: Introduction: Digital signal processing and its objectives
3 Lecture 2A: Introduction to sampling and Fourier Transform
4 Lecture 2B: Sampling of sine wave and associate complication
5 Lecture 3A: Review of Sampling Theorem
6 Lecture 3B: Idealized Sampling, Reconstruction
7 Lecture 3C: Filters And Discrete System
8 Lecture 4A: Answering questions from previous lectures.
9 Lecture 4B: Desired requirements for discrete system
10 Lecture 4C: Introduction to phasors
11 Lecture 4D: Advantages of phasors in discrete systems
12 Lecture 5A: What do we want from a discrete system?
13 Lecture 5B: Linearity - Homogeneity and Additivity
14 Lecture 5C: Shift Invariance and Characterization of LTI systems
15 Lecture 6A: Characterization of LSI system using it’s impulse response
16 Lecture 6B: Introduction to convolution
17 Lecture 6C: Convolution:deeper ideas and understanding
18 Lecture 7A: Characterisation of LSI systems, Convolution-properties
19 Lecture 7B: RESPONSE OF LSI SYSTEMS TO COMPLEX SINUSOIDS
20 Lecture 7C: CONVERGENCE OF CONVOLUTION AND BIBO STABILITY
21 Lecture 8A: Commutativity & Associativity
22 Lecture 8B: BIBO Stability of an LSI system
23 Lecture 8C: Causality and memory of an LSI system.
24 Lecture 8D: Frequency response of an LSI system.
25 Lecture 9A: Introduction and conditions of Stability
26 Lecture 9B: Vectors and Inner Product.
27 Lecture 9C: Interpretation of Frequency Response as Dot Product
28 Lecture 9D: Interpretation ofFrequency Responseas Eigenvalues
29 Lecture 10A: Discrete time fourier transform
30 Lecture 10B: DTFT in LSI System and Convolution Theorem.
31 Lecture 10C: Definitions of sequences and Properties of DTFT.
32 Lecture 11A: Introduction to DTFT, IDTFT
33 Lecture 11B: Dual to convolution property
34 Lecture 11C: Multiplication Property, Introduction to Parseval’s theorem
35 Lecture 12A: Introduction And Property of DTFT
36 Lecture 12B: Review of Inverse DTFT
37 Lecture 12C: Parseval’s Theorem and energy and time spectral density
38 Lecture 13A: Discussion on Unit Step
39 Lecture 13B: Introduction to Z transform
40 Lecture 13C: Example of Z transform
41 Lecture 13D: Region of Convergence
42 Lecture 13E: Properties of Z transform
43 Lecture 14A: Z- Transform
44 Lecture 14B: Rational System
45 Lecture 15A: INTRODUCTION AND EXAMPLES OF RATIONAL Z TRANSFORM AND THEIR INVERSES
46 Lecture 15B: DOUBLE POLE EXAMPLES AND THEIR INVERSE Z TRANSFORM
47 Lecture 15C: PARTIAL FRACTION DECOMPOSITION
48 Lecture 15D: LSI SYSTEM EXAMPLES
49 Lecture 16A: Why are Rational Systems so important?
50 Lecture 16B: Solving Linear constant coefficient difference equations
51 Lecture 16C: Introduction to Resonance in Rational Systems
52 Lecture 17A: Characterization of Rational LSI system
53 Lecture 17B: Causality and stability of the ROC of the system function
54 Lecture 18A: RECAP OF RATIONAL SYSTEMS AND DISCRETE TIME FILTERS
55 Lecture 18B: SPECIFICATIONS FOR FILTER DESIGN
56 Lecture 18C: FOUR IDEAL PIECEWISE CONSTANT FILTERS
57 Lecture 18D: IMPORTANT CHARACTERISTICS OF IDEAL FILTERS
58 Lecture 19A: Synthesis of Discrete Time Filters, Realizable specifications
59 Lecture 19B: Realistic Specifications for low pass filter. Filter Design Process
60 Lecture 20A: Introduction to Filter Design. Analog IIR Filter, FIR and IIR discrete-time filter.
61 Lecture 20B: Analog to discrete transform
62 Lecture 20C: Intuitive transforms, Bilinear Transformation
63 Lecture 21A: Steps for IIR filter design
64 Lecture 21B: Analog filter design using Butterworth Approximation
65 Lecture 22A: Butterworth filter Derivation And Analysis of butterworth system function
66 Lecture 22B: Chebychev filter Derivation
67 Lecture 23: Midsem paper review discussion
68 Lecture 24A: The Chebyschev Approximation
69 Lecture 24B: Next step in design: Obtain poles
70 Lecture 25A: Introduction to Frequency Transformations in the Analog Domain
71 Lecture 25B: High pass transformation
72 Lecture 25C: Band pass transformation
73 Lecture 26A: Frequency Transformation
74 Lecture 26B: Different types of filters
75 Lecture 27A: Impulse invariant method and ideal impulse response
76 Lecture 27B: Design of FIR of length (2N+1) by the truncation method, Plotting the function V(w)
77 Lecture 28A: IIR filter using rectangular window, IIR filter using triangular window
78 Lecture 28B: Proof that frequency response of an fir filter using rectangular window function
79 Lecture 29A: Introduction to window functions
80 Lecture 29B: Examples of window functions
81 Lecture 29C: Explanation of Gibb’s Phenomenon and it’s application
82 Lecture 30A: Comparison of FIR And IIR Filter’s
83 Lecture 30B: Comparison of FIR And IIR Filter’s
84 Lecture 30C: Comparison of FIR And IIR Filter’s
85 Pseudo-Linear Phase Filter, Signal Flow Graph.
86 Lecture 31B: Comprehension of Signal Flow Graphs and Achievement of Pseudo Assembly Language Code.
87 Lecture 32A: Introduction to IIR Filter Realization and Cascade Structure
88 Lecture 32B: Cascade Parallel Structure
89 Lecture 32C: Lattice Structure
90 Lecture 33A: Recap And Review of Lattice Structure, Realization of FIR Function.
91 Lecture 33B: Backward recursion, Change in the recursive equation of lattice.
92 Lecture 34A: Lattice structure for an arbitrary rational system
93 Lecture 34B: Example realization of lattice structure for rational system
94 Lecture 35A: Introductory Remarks of Discrete Fourier Transform and Frequency Domain Sampling
95 Lecture 35B: Principle of Duality, The Circular Convolution