NOC:Foundations of Wavelets and Multirate DSP (USB)

Media Storage Type : 32 GB USB Stick

NPTEL Subject Matter Expert : Prof. V.M. Gadre

NPTEL Co-ordinating Institute : IIT Bombay

NPTEL Lecture Count : 31

NPTEL Course Size : 8.1 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)

Lecture Titles:

Lecture 1 - Introduction
Lecture 2 - Origin of wavelets
Lecture 3 - Haar wavelet
Lecture 4 - Dyadic wavelet
Lecture 5 - Dilates and translates of Haar wavelet
Lecture 6 - L2 norm of a function
Lecture 7 - Piecewise constant representation of a function
Lecture 8 - Ladder of subspaces
Lecture 9 - Scaling function of Haar wavelet
Lecture 10 - Demonstration: Piecewise constant approximation of functions
Lecture 11 - Vector representation of sequences
Lecture 12 - Properties of norm
Lecture 13 - Parsevals theorem
Lecture 14 - Equivalence of functions and sequences
Lecture 15 - Angle between Functions and their Decomposition
Lecture 16 - Additional Information on Direct-Sum
Lecture 17 - Introduction to filter banks
Lecture 18 - Haar Analysis filter bank in Z-domain
Lecture 19 - Haar Synthesis filter bank in Z-domain
Lecture 20 - Moving from Z-domain to frequency domain
Lecture 21 - Frequency Response of Haar Analysis Low pass Filter bank
Lecture 22 - Frequency Response of Haar Analysis High pass Filter bank
Lecture 23 - Ideal Two-band Filter bank
Lecture 24 - Disqualification of Ideal Filter bank
Lecture 25 - Realizable Two-band Filter bank
Lecture 26 - Demonstration: DWT of images
Lecture 27 - Relating Fourier transform of scaling function to filter bank
Lecture 28 - Fourier transform of scaling function
Lecture 29 - Construction of scaling and wavelet functions from filter bank
Lecture 30 - Demonstration: Constructing scaling and wavelet functions.
Lecture 31 - Conclusive Remarks and Future Prospects