Dp 369 en

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Wavelet analysis

Author: Váňa Zdeněk

Diplomové práce 2009

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This diploma thesis follows my bachelor thesis, which described mathematical principle of wavelet transform on 2(ZN) space. This thesis includes wavelet transform on 2(Z) and L2(R) spaces with the inclusion of Fourier transform, frames and Rieszs bases. The thesis starts with a description of basic mathematical concepts which are indispensable for further exposition. Based on that the wavelet transform is built. Subsequently the thesis explains frames and their analogy to wavelets.

The objective of this diploma thesis is to implement Duffn-Schaeffr algorithm in matlab and compare practical results with theoretical solutions.