Title :
Parameterization of symmetric multiwavelets
Author_Institution :
Inst. of Network Theory & Circuit Design, Tech. Univ. of Munich, Germany
Abstract :
Multiwavelets based on two scaling functions are discussed. They exhibit the following properties: compact support, symmetry and orthogonality as well as a good frequency resolution. Lattice structures do not only offer the possibility to implement these multiwavelet transforms, the lattice rotation angles also can be used in order to parameterize all multiwavelets of a certain length. Here we search for optimal multiwavelets with respect to regularity, vanishing moments, frequency behavior (stopband attenuation) and also take a simple implementation into consideration
Keywords :
filtering theory; lattice filters; signal processing; transforms; wavelet transforms; compact support; discrete transforms; frequency behavior; frequency resolution; lattice filters; lattice rotation angles; lattice structures; multiwavelet transforms; optimal multiwavelets; orthogonal wavelets; regularity; signal processing; stopband attenuation; symmetric multiwavelets parameterization; vanishing moments; Circuit synthesis; Discrete wavelet transforms; Electronic mail; Filters; Frequency; Integral equations; Lattices; Matrix converters; Symmetric matrices; Wavelet transforms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
Conference_Location :
Munich
Print_ISBN :
0-8186-7919-0
DOI :
10.1109/ICASSP.1997.599574
