Title :
Matrix Extension to Construct M-Band Compactly Supported Orthogonal Wavelets
Author :
Han Shiqin ; Liu Hengbing
Author_Institution :
Dept. of Math., China Univ. of Geosci., Wuhan, China
Abstract :
It has been proved that the polyphase matrix of M-band orthogonal wavelets is a paraunitary one. Based on this property, it gave a method of extending the polyphase decomposition of scale filters to a paraunitary matrix. It could get the polyphase decompositions of wavelet filters from the second to the Mth column of the matrix. This provides an approach to construct M-band orthogonal wavelets. At last, it gives some examples to verify the validity of this method to construct M-band compactly supported orthogonal wavelets.
Keywords :
filtering theory; matrix algebra; wavelet transforms; M-band orthogonal wavelet; matrix extension; paraunitary matrix; polyphase decomposition; polyphase matrix; scale filter; wavelet filter; Bandwidth; Bismuth; Filter bank; Frequency; Geology; Mathematics; Matrix decomposition; Multiresolution analysis; Physics; Signal processing;
Conference_Titel :
Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4507-3
Electronic_ISBN :
978-1-4244-4507-3
DOI :
10.1109/CISE.2009.5366805
