Modules / Lectures

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Sl.No Chapter Name English
1Module 1: Lecture 1: IntroductionPDF unavailable
2Module 1: Lecture 2: Origin of WaveletsPDF unavailable
3Module 1: Lecture 3: Haar WaveletPDF unavailable
4Module 2: Lecture 1: Dyadic WaveletPDF unavailable
5Module 2: Lecture 2: Dilates and Translates of Haar WaveletsPDF unavailable
6Module 2: Lecture 3: L2 Norm of a FunctionPDF unavailable
7Module 3: Lecture 1: Piecewise Constant Representation of a Function PDF unavailable
8Module 3: Lecture 2: Ladder of SubspacesPDF unavailable
9Module 3: Lecture 3: Scaling Function for Haar Wavelet DemoPDF unavailable
10Demonstration 1: Piecewise constant approximation of functionsPDF unavailable
11Module 4: Lecture 1: Vector Representation of SequencesPDF unavailable
12Module 4: Lecture 2: Properties of Norm PDF unavailable
13Module 4: Lecture 3: Parseval's TheoremPDF unavailable
14Module 5: Lecture 1: Equivalence of sequences and functions PDF unavailable
15Module 5: Lecture 2: Angle between Functions & their DecompositionPDF unavailable
16Demonstration 2: Additional Information on Direct-SumPDF unavailable
17Module 6: Lecture 1: Introduction to filter banksPDF unavailable
18Module 6: Lecture 2: Haar Analysis Filter Bank in Z-domainPDF unavailable
19Module 6: Lecture 3: Haar Synthesis Filter Bank in Z-domainPDF unavailable
20Module 7: Lecture 1: Moving from Z-domain to frequency domainPDF unavailable
21Module 7: Lecture 2: Frequency Response of Haar Analysis Low pass Filter bankPDF unavailable
22Module 7: Lecture 3: Frequency Response of Haar Analysis High pass Filter bankPDF unavailable
23Module 8: Lecture 1: Ideal two-band filter bankPDF unavailable
24Module 8: Lecture 2: Disqualification of Ideal filter bankPDF unavailable
25Module 8: Lecture 3: Realizable two-band filter bankPDF unavailable
26Demonstration 3: Demonstration: DWT of imagesPDF unavailable
27Module 9: Lecture 1: Relating Fourier transform of scaling function to filter bank PDF unavailable
28Module 9: Lecture 2: Fourier transform of scaling function PDF unavailable
29Module 9: Lecture 3: Construction of scaling and wavelet functions from filter bankPDF unavailable
30Demonstration 4: Demonstration: Constructing scaling and wavelet functionsPDF unavailable
31Module 10: Lecture 1: Introduction to upsampling and down sampling as Multirate operationsPDF unavailable
32Module 10: Lecture 2: Up sampling by a general factor M- a Z-domain analysis.PDF unavailable
33Module 10: Lecture 3: Down sampling by a general factor M- a Z-domain analysisPDF unavailable
34Module 11: Lecture 1: Z domain analysis of 2 channel filter bank.PDF unavailable
35Module 11: Lecture 2: Effect of X (-Z) in time domain and aliasingPDF unavailable
36Module 11: Lecture 3: Consequences of aliasing and simple approach to avoid itPDF unavailable
37Module 12: Lecture 1: Revisiting aliasing and the Idea of perfect reconstructionPDF unavailable
38Module 12: Lecture 2: Applying perfect reconstruction and alias cancellation on Haar MRAPDF unavailable
39Module 12: Lecture 3: Introduction to Daubechies family of MRAPDF unavailable
40Module 13: Lecture 1: Power Complementarity of low pass filterPDF unavailable
41Module 13: Lecture 2: Applying perfect reconstruction condition to obtain filter coefficientPDF unavailable
42Module 14: Lecture 1: Effect of minimum phase requirement on filter coefficientsPDF unavailable
43Module 14: Lecture 2: Building compactly supported scaling functionsPDF unavailable
44Module 14: Lecture 3: Second member of Daubechies familyPDF unavailable
45Module 15: Lecture 1: Fourier transform analysis of Haar scaling and Wavelet functionsPDF unavailable
46Module 15: Lecture 2: Revisiting Fourier Transform and Parseval's theoremPDF unavailable
47Module 15: Lecture 3: Transform Analysis of Haar Wavelet functionPDF unavailable
48Module 16: Lecture 1: Nature of Haar scaling and Wavelet functions in frequency domainPDF unavailable
49Module 16: Lecture 2: The Idea of Time-Frequency ResolutionPDF unavailable
50Module 16: Lecture 3: Some thoughts on Ideal time- frequency domain behaviorPDF unavailable
51Module 17: Lecture 1: Defining Probability Density functionPDF unavailable
52Module 17: Lecture 2: Defining Mean, Variance and “containment in a given domain”PDF unavailable
53Module 17: Lecture 3: Example: Haar Scaling functionPDF unavailable
54Module 17: Lecture 4: Variance from a slightly different perspectivePDF unavailable
55Module 18: Lecture 1: Signal transformations: effect on mean and variancePDF unavailable
56Module 18: Lecture 2: Time-Bandwidth product and its propertiesPDF unavailable
57Module 18: Lecture 3: Simplification of Time-Bandwidth formulaePDF unavailable
58Module 19: Lecture 1: IntroductionPDF unavailable
59Module 19: Lecture 2: Evaluation of Time-Bandwidth productPDF unavailable
60Module 19: Lecture 3: Optimal function in the sense of Time-Bandwidth productPDF unavailable
61Module 20: Lecture 1: Discontent with the “Optimal function”.PDF unavailable
62Module 20: Lecture 2: Journey from infinite to finite Time-Bandwidth product of Haar scaling functionPDF unavailable
63Module 20: Lecture 3: More insights about Time-Bandwidth productPDF unavailable
64Module 20: Lecture 4: Time-frequency planePDF unavailable
65Module 20: Lecture 5: Tiling the Time-frequency planePDF unavailable
66Module 21: Lecture 1: STFT: Conditions for valid windowsPDF unavailable
67Module 21: Lecture 2: STFT: Time domain and frequency domain formulationsPDF unavailable
68Module 21: Lecture 3: STFT: Duality in the interpretationsPDF unavailable
69Module 21: Lecture 4: Continuous Wavelet Transform (CWT)PDF unavailable
70Demonstration 5PDF unavailable
71Student’s PresentationPDF unavailable

Sl.No Language Book link
1EnglishNot Available
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available