Title :
Smooth multiwavelets based on two scaling functions
Author :
Rieder, Peter ; Nossek, Josef A.
Author_Institution :
Inst. of Network Theory & Circuit Design, Tech. Univ. of Munich, Germany
Abstract :
In this paper new multiwavelets based on several scaling functions are designed. The resulting wavelets exhibit the following properties: compact support, symmetry and orthogonality, arbitrary approximation order as well as good frequency resolution. The new bases are quite similar to the well known splines and also have close relationships to multirate filterbanks (multiwavelets based on one scaling function). The good performance of the new wavelets with respect to the smoothness and the frequency resolution is documented. A filterbank implementation is discussed
Keywords :
digital filters; signal resolution; smoothing methods; wavelet transforms; approximation order; filterbank implementation; frequency resolution; multirate filterbanks; orthogonality; scaling functions; smooth multiwavelets; symmetry; Artificial intelligence; Design methodology; Discrete transforms; Discrete wavelet transforms; Equations; Filter bank; Frequency; Low pass filters; Wavelet transforms;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Paris
Print_ISBN :
0-7803-3512-0
DOI :
10.1109/TFSA.1996.547475
