# 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 | + | 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

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.

**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/