کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639394 1632046 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Explicit construction of symmetric compactly supported biorthogonal multiwavelets via group transformations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Explicit construction of symmetric compactly supported biorthogonal multiwavelets via group transformations
چکیده انگلیسی

Polyphase matrix extension of multiscaling vectors is a fundamental approach for the construction of compactly supported biorthogonal multiwavelets. In this paper, canonical form of polyphase matrices of multiscaling vectors and some properties of solutions satisfying the matrix equation of PR condition are studied through unimodular groups over the Laurent polynomial ring. Under the canonical form of polyphase matrices of multiscaling vectors with the same symmetric center and different symmetric centers, explicit symmetric extension formulas expressed by the polyphase matrices of multiscaling vectors can be obtained. As a result, a novel approach for the construction of symmetric compactly supported biorthogonal multiwavelets with multiplicity 2 is proposed. Finally, several examples are given for verification of our proposed approach.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 244, 15 May 2013, Pages 49–66
نویسندگان
, , , ,