On the construction of wavelets on a bounded interval
Plonka, Gerlind ; Selig, Kathi ; Tasche, Manfred
HAL, hal-01322918 / Harvested from HAL
Text on HAL
This paper presents a general approach to a multi resolution analysis and wavelet spaces on the interval $[-1, 1]$. Our method is based on the Chebyshev transform, corresponding shifts and the discrete cosine transformation (DCT). For the wavelet analysis of given functions, efficient decomposition and reconstruction algorithms are proposed using fast DCT-algorithms. As examples for scaling functions and wavelets, polynomials and transformed splines are considered.
Publié le : 1995-07-04
Classification:  Wavelet,  Chebyshev transform,  [MATH]Mathematics [math] 
@article{hal-01322918,
     author = {Plonka, Gerlind and Selig, Kathi and Tasche, Manfred},
     title = {On the construction of wavelets on a bounded interval},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01322918}
}

Plonka, Gerlind; Selig, Kathi; Tasche, Manfred. On the construction of wavelets on a bounded interval. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-01322918/