DocumentCode
2879845
Title
Properties of Univariate Wavelet Functions with a Matrix Factorization
Author
Xiao, Hongying
Author_Institution
Coll. of Sci., China Three Gorges Univ., Yichang, China
fYear
2009
fDate
11-13 Dec. 2009
Firstpage
1
Lastpage
4
Abstract
This paper examines a class of univariate wavelet functions with a matrix factorization. Firstly, the property of an important function is surveyed. Secondly, the result is applied to demonstrate the properties of the filters as well as the scaling and wavelet functions. It is presented that two scaling functions are reflections of each other for some pair of parameters. Examples are developed to illustrate the proposed technique.
Keywords
matrix decomposition; wavelet transforms; matrix factorization; scaling functions; univariate wavelet functions; Differential equations; Educational institutions; Filter bank; Image processing; Low pass filters; Postal services; Reflection; Signal processing;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/CISE.2009.5367187
Filename
5367187
Link To Document