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ABOUT THE COURSE:
Wavelets are localized and oscillatory functions that generate bases for several function spaces. The multiresolution framework, meant for constructing wavelets, possesses attractive numerical properties for executing the wavelet decomposition of a function. The course aims at discussing orthogonal/non-orthogonal wavelet bases constructed for the space of square integrable functions. It then discusses the algorithmic as well as the application of discrete wavelets.
INTENDED AUDIENCE:Senior UG, M.Sc and PhD (Mathematics/Applied Mathematics), M.Tech/PhD (ECE and Computer Science) students.
PREREQUISITES: Basic functional analysis
Wavelets are localized and oscillatory functions that generate bases for several function spaces. The multiresolution framework, meant for constructing wavelets, possesses attractive numerical properties for executing the wavelet decomposition of a function. The course aims at discussing orthogonal/non-orthogonal wavelet bases constructed for the space of square integrable functions. It then discusses the algorithmic as well as the application of discrete wavelets.
INTENDED AUDIENCE:Senior UG, M.Sc and PhD (Mathematics/Applied Mathematics), M.Tech/PhD (ECE and Computer Science) students.
PREREQUISITES: Basic functional analysis