Title :
Properties of Univariate Wavelet Functions with a Matrix Factorization
Author_Institution :
Coll. of Sci., China Three Gorges Univ., Yichang, China
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;
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
DOI :
10.1109/CISE.2009.5367187
