### Fundamentals of Wavelets, Filter Banks and Time-Frequency Analysis

Fundamentals of Wavelets, Filter Banks and Time-Frequency Analysis. Instructor: Prof. Vikram M. Gadre, Department of Electrical Engineering, IIT Bombay. The aim of the course is to introduce the idea of wavelets, filter banks and time-frequency analysis. Haar wavelets have been introduced as an important tool in the analysis of signal at various level of resolution. Keeping this goal in mind, idea of representing a general finite energy signal by a piecewise constant representation is developed. Concept of ladder of subspaces, in particular the notion of 'approximation' and 'Incremental' subspaces is introduced. Connection between wavelet analysis and Multirate digital systems have been emphasized, which brings us to the need of establishing equivalence of sequences and finite energy signals and this goal is achieved by the application of basic ideas from linear algebra. Then the relation between wavelets and Multirate filter banks, from the point of view of implementation is explained.
(from **nptel.ac.in**)

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Fundamentals of Wavelets, Filter Banks and Time-Frequency AnalysisInstructor: Prof. Vikram M. Gadre, Department of Electrical Engineering, IIT Bombay. This course introduces the idea of wavelets, filter banks and time-frequency analysis. |