Construction of wavelets and multiwavelets basis : a generalized method Bhatti, Asim 2010, Construction of wavelets and multiwavelets basis : a generalized method, LAP Lambert Academic Publishing, [Germany]. Attached Files Name Description MIMEType Size Downloads Title Construction of wavelets and multiwavelets basis : a generalized method Author(s) Bhatti, Asim orcid.org/0000-0001-6876-1437 Publication date 2010 Total pages 108 p. Publisher LAP Lambert Academic Publishing Place of Publication [Germany] Keyword(s) electronics electro-technology communications technology Summary Multiwavelets are wavelets with multiplicity r, that is r scaling functions and r wavelets, which define multiresolution analysis similar to scalar wavelets. They are advantageous over scalar wavelets since they simultaneously posse symmetry and orthogonality. In this work, a new method for constructing multiwavelets with any approximation order is presented. The method involves the derivation of a matrix equation for the desired approximation order. The condition for approximation order is similar to the conditions in the scalar case. Generalized left eigenvectors give the combinations of scaling functions required to reconstruct the desired spline or super function. The method is demonstrated by constructing a specific class of symmetric and non-symmetric multiwavelets with different approximation orders, which include Geranimo-Hardin-Massopust (GHM), Daubechies and Alperts like multi-wavelets, as parameterized solutions. All multi-wavelets constructed in this work, posses the good properties of orthogonality, approximation order and short support. ISBN 9783838348322 383834832X Language eng Field of Research 099999 Engineering not elsewhere classified Socio Economic Objective 970109 Expanding Knowledge in Engineering HERDC Research category A2.1 Authored - other Persistent URL http://hdl.handle.net/10536/DRO/DU:30043118 Document type: Book Collections: Institute for Intelligent Systems Research and Innovation (IISRI) GTP Research Related Links Link Description Connect to published version Go to link with your DU access privileges     Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved. Versions Version Filter Type Tue, 13 Mar 2012, 09:40:21 EST Mon, 02 Apr 2012, 12:33:51 EST Mon, 02 Apr 2012, 12:34:57 EST Mon, 02 Apr 2012, 12:35:43 EST Tue, 24 Apr 2012, 14:39:41 EST Wed, 27 Aug 2014, 22:55:25 EST Filtered Full Citation counts:   Cited 0 times in TR Web of Science Cited 0 times in Scopus Search Google Scholar Access Statistics: 113 Abstract Views, 0 File Downloads  -  Detailed Statistics Created: Tue, 13 Mar 2012, 09:40:21 EST