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Non‐separable multivariate filter banks from univariate wavelets
Author(s) -
Chen Qiuhui,
Ren Guangbin,
Cerejeiras Paula,
Kaehler Uwe
Publication year - 2013
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201000100
Subject(s) - univariate , mathematics , toeplitz matrix , multivariate statistics , wavelet , filter (signal processing) , separable space , polynomial , zero (linguistics) , set (abstract data type) , statistics , pure mathematics , mathematical analysis , artificial intelligence , computer science , computer vision , linguistics , philosophy , programming language
The main purpose of this paper is the design of multivariate filter banks starting from univariate wavelet filters. The matrix completion is solved by utilizing some special Toeplitz matrices. A generalized method of rational polynomial univariate filter with preset zero points set is constructed.