Title :
Wavelet function, scaling function and discrete wavelet transform
Author :
Jin, Q. ; Wong, K.M. ; Luo, Z.Q.
Author_Institution :
Commun. Res. Lab., McMaster Univ., Hamilton, Ont., Canada
Abstract :
In this paper, we discuss the general condition for a function to be a wavelet function or a scaling function. We also discuss the condition for the functions to form a multiresolution wavelet decomposition and reconstruction. The relationships between continuous wavelet transform and discrete wavelet transform are established
Keywords :
Fourier transforms; functions; signal reconstruction; transforms; wavelet transforms; Fourier transform; continuous wavelet transform; discrete wavelet transform; multiresolution wavelet decomposition; multiresolution wavelet reconstruction; scaling function; wavelet function; Bridges; Buildings; Continuous wavelet transforms; Discrete wavelet transforms; Filter bank; Fourier transforms; Frequency; Signal resolution; Wavelet transforms; Windows;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-2127-8
DOI :
10.1109/TFSA.1994.467328
