Title :
Some properties of symmetric-antisymmetric orthonormal multiwavelets
Author :
Shen, Lixin ; Tan, Hwee Huat ; Tham, Jo Yew
Author_Institution :
Dept. of Math., Nat. Univ. of Singapore, Singapore
fDate :
7/1/2000 12:00:00 AM
Abstract :
We analyze the discrete multiwavelet transform using symmetric-antisymmetric orthonormal multifilters (SAOMFs) and prove that for any even-length SAOMF, we can always find an odd-length SAOMF such that the implementation of discrete multiwavelet transform using either the even-length or the odd-length SAOMF produces identical output for a given input signal if the sum/difference prefilter is chosen
Keywords :
discrete wavelet transforms; filtering theory; signal processing; discrete multiwavelet transform; even-length multifilter; odd-length multifilter; signal processing; sum/difference prefilter; symmetric-antisymmetric orthonormal multifilters; symmetric-antisymmetric orthonormal multiwavelets; Discrete transforms; Discrete wavelet transforms; Educational technology; Filters; Frequency; Information processing; Mathematics; Multiresolution analysis; Signal analysis; Signal processing;
Journal_Title :
Signal Processing, IEEE Transactions on
