Analiza wavelets (limba engleza) |
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Cadre didactice indrumatoare |
Prof. Dr. AGRATINI Octavian, agratini@math.ubbcluj.ro |
Obiective |
In prima parte cursul include elemente de analiza Fourier si transformari Fourier cu fereastra glisanta.
In continuare cursul este conceput ca o introducere in universul $ondinelor$ prezentandu-se ideile fundamentale relativ la transformari wavelet, baze wavelet, analiza de rezolutie multipla precum si la algoritmi de descompunere si reconstructie wavelet a semnalelor. |
Continut |
Elemente de analiza Fourier.Wavelets din perspectiva istorica.Transformari integrale wavelets si analiza timp-frecventa.Analiza multirezolutie,legatura intre wavelets si functii spline.Descompuneri si reconstructii wavelets.Wavelets de suport compact.Wavelets ortogonale.Aplicatii ale functiilor wavelets. |
Bibliografie |
[1] Agratini, O., Chiorean, I., Coman, Gh., Trimbitas, R., Analiza numerica si teoria aproximarii, Vol.III, Presa Universitara Clujeana, 2002.
[2] Chui,C.K.,An Introduction to Wavelets, Academic Press, Inc.Harcourt Brace Jovanovich, Publishers, New York, 1992. [3] Debnath, L., Wavelet Transform and Their Applications, Birkhauser, Boston Basel Berlin, 2002. [4] Gasquet, C., Witomski, P., Analyse de Fourier et applications. Filtrage, Calcul numerique, Ondelettes, Masson, Paris, 1990. [5] Meyer, Y., Wavelets - Algorithms and Applications, SIAM, Philadelphia, PA, 1993. [6] Ogden, R.T., Essential Wavelets for Statistical Applications and Data Analysis, Boston, Birkhauser, 1997. [7] Stanasila, O., Analiza matematica a semnalelor si undinelor, Matrix Rom, Bucuresti, 1997. |
Evaluare |
Examen. |