Modules / Lectures


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Sl.No Chapter Name English
1Module 1: Lecture 1: IntroductionDownload
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2Module 1: Lecture 2: Origin of WaveletsDownload
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3Module 1: Lecture 3: Haar WaveletDownload
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4Module 2: Lecture 1: Dyadic WaveletDownload
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5Module 2: Lecture 2: Dilates and Translates of Haar WaveletsDownload
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6Module 2: Lecture 3: L2 Norm of a FunctionDownload
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7Module 3: Lecture 1: Piecewise Constant Representation of a Function Download
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8Module 3: Lecture 2: Ladder of SubspacesDownload
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9Module 3: Lecture 3: Scaling Function for Haar Wavelet DemoDownload
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10Demonstration 1: Piecewise constant approximation of functionsDownload
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11Module 4: Lecture 1: Vector Representation of SequencesDownload
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12Module 4: Lecture 2: Properties of Norm Download
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13Module 4: Lecture 3: Parseval's TheoremDownload
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14Module 5: Lecture 1: Equivalence of sequences and functions Download
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15Module 5: Lecture 2: Angle between Functions & their DecompositionDownload
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16Demonstration 2: Additional Information on Direct-SumDownload
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17Module 6: Lecture 1: Introduction to filter banksDownload
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18Module 6: Lecture 2: Haar Analysis Filter Bank in Z-domainDownload
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19Module 6: Lecture 3: Haar Synthesis Filter Bank in Z-domainDownload
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20Module 7: Lecture 1: Moving from Z-domain to frequency domainDownload
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21Module 7: Lecture 2: Frequency Response of Haar Analysis Low pass Filter bankDownload
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22Module 7: Lecture 3: Frequency Response of Haar Analysis High pass Filter bankDownload
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23Module 8: Lecture 1: Ideal two-band filter bankDownload
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24Module 8: Lecture 2: Disqualification of Ideal filter bankDownload
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25Module 8: Lecture 3: Realizable two-band filter bankDownload
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26Demonstration 3: Demonstration: DWT of imagesDownload
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27Module 9: Lecture 1: Relating Fourier transform of scaling function to filter bank Download
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28Module 9: Lecture 2: Fourier transform of scaling function Download
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29Module 9: Lecture 3: Construction of scaling and wavelet functions from filter bankDownload
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30Demonstration 4: Demonstration: Constructing scaling and wavelet functionsDownload
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31Module 10: Lecture 1: Introduction to upsampling and down sampling as Multirate operationsDownload
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32Module 10: Lecture 2: Up sampling by a general factor M- a Z-domain analysis.Download
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33Module 10: Lecture 3: Down sampling by a general factor M- a Z-domain analysisDownload
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34Module 11: Lecture 1: Z domain analysis of 2 channel filter bank.Download
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35Module 11: Lecture 2: Effect of X (-Z) in time domain and aliasingDownload
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36Module 11: Lecture 3: Consequences of aliasing and simple approach to avoid itDownload
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37Module 12: Lecture 1: Revisiting aliasing and the Idea of perfect reconstructionDownload
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38Module 12: Lecture 2: Applying perfect reconstruction and alias cancellation on Haar MRADownload
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39Module 12: Lecture 3: Introduction to Daubechies family of MRADownload
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40Module 13: Lecture 1: Power Complementarity of low pass filterDownload
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41Module 13: Lecture 2: Applying perfect reconstruction condition to obtain filter coefficientDownload
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42Module 14: Lecture 1: Effect of minimum phase requirement on filter coefficientsDownload
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43Module 14: Lecture 2: Building compactly supported scaling functionsDownload
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44Module 14: Lecture 3: Second member of Daubechies familyDownload
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45Module 15: Lecture 1: Fourier transform analysis of Haar scaling and Wavelet functionsDownload
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46Module 15: Lecture 2: Revisiting Fourier Transform and Parseval's theoremDownload
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47Module 15: Lecture 3: Transform Analysis of Haar Wavelet functionDownload
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48Module 16: Lecture 1: Nature of Haar scaling and Wavelet functions in frequency domainDownload
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49Module 16: Lecture 2: The Idea of Time-Frequency ResolutionDownload
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50Module 16: Lecture 3: Some thoughts on Ideal time- frequency domain behaviorDownload
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51Module 17: Lecture 1: Defining Probability Density functionDownload
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52Module 17: Lecture 2: Defining Mean, Variance and “containment in a given domain”Download
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53Module 17: Lecture 3: Example: Haar Scaling functionDownload
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54Module 17: Lecture 4: Variance from a slightly different perspectiveDownload
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55Module 18: Lecture 1: Signal transformations: effect on mean and varianceDownload
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56Module 18: Lecture 2: Time-Bandwidth product and its propertiesDownload
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57Module 18: Lecture 3: Simplification of Time-Bandwidth formulaeDownload
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58Module 19: Lecture 1: IntroductionDownload
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59Module 19: Lecture 2: Evaluation of Time-Bandwidth productDownload
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60Module 19: Lecture 3: Optimal function in the sense of Time-Bandwidth productDownload
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61Module 20: Lecture 1: Discontent with the “Optimal function”.Download
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62Module 20: Lecture 2: Journey from infinite to finite Time-Bandwidth product of Haar scaling functionDownload
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63Module 20: Lecture 3: More insights about Time-Bandwidth productDownload
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64Module 20: Lecture 4: Time-frequency planeDownload
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65Module 20: Lecture 5: Tiling the Time-frequency planeDownload
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66Module 21: Lecture 1: STFT: Conditions for valid windowsDownload
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67Module 21: Lecture 2: STFT: Time domain and frequency domain formulationsDownload
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68Module 21: Lecture 3: STFT: Duality in the interpretationsDownload
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69Module 21: Lecture 4: Continuous Wavelet Transform (CWT)Download
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70Demonstration 5Download
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71Student’s PresentationDownload
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