Difference between revisions of "Dp 369 en"

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[[Diplomové práce 2009]]
 
[[Diplomové práce 2009]]
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[[Image:369_dp.gif]]
  
 
This diploma thesis follows my bachelor thesis, which described mathematical principle
 
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)
+
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.
 
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
 
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
 
for further exposition. Based on that the wavelet transform is built. Subsequently the
 
thesis explains frames and their analogy to wavelets.
 
thesis explains frames and their analogy to wavelets.
 +
 
The objective of this diploma thesis is to implement Duffn-Schaeffr algorithm in matlab
 
The objective of this diploma thesis is to implement Duffn-Schaeffr algorithm in matlab
 
and compare practical results with theoretical solutions.
 
and compare practical results with theoretical solutions.
 +
 +
* '''Váňa Zdeněk''', mailto:vanaz1@fel.cvut.cz
 +
* '''Prof. RNDr. Jan Hamhalter, CSc.''', tel: +420 224 353 438, mailto:hamhalte@math.feld.cvut.cz, web: http://math.feld.cvut.cz/hamhalte/

Revision as of 18:13, 5 May 2010

Wavelet analysis

Author: Váňa Zdeněk

Diplomové práce 2009

369 dp.gif

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.