Open Access Open Access  Restricted Access Subscription or Fee Access

Construction of Symmetric Orthogonal Multiwavelets with Support [0; 2L]

Xiaoxia Feng, Zhongpeng Yang, Zhengxing Cheng


In this paper, we propose a general method to construct symmetric multiwavelets from given symmetric multiscaling functions with support [0; 2L], and their corresponding lowpass and highpass filters have the same odd length 2L+1. Firstly, by several transforms, this problem can be reduced to the design of the filters with the length 2L starting from given filters with the length 2L. Secondly, applying the paraunitary extension of matrix and parameterizatian, we obtain the filters with these length 2L. Lastly, by the corresponding inverse transforms, the highpass filters with the length 2L + 1 can be derived. Furthermore, we design a more efficient algorithm constructing orthogonal multiwavelets with support [0; 2L]. By our algorithm, Chui-Lian multiwavelet with support [0; 2] is recovered easily.


multiwavelet, multifilter bank, polyphase matrix, orthogonality, symmetry, parameterization.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.