Title :
A note on irregular discrete wavelet transforms
Author :
Olsen, P.A. ; Seip, K.
Author_Institution :
Div. of Math. Sci., Trondheim Univ., Norway
fDate :
3/1/1992 12:00:00 AM
Abstract :
Estimates of frame bounds for wavelet frames generated by discrete sets in phase space satisfying only a certain density condition are deduced. Numerical examples show that these estimates, which are the sharpest results of this kind known to the authors, are rather poor compared to Daubechies´ estimates (see ibid., vol.36, no.5, p.961-1005, 1990) for the usual discrete wavelet transforms.<>
Keywords :
phase space methods; signal processing; transforms; frame bounds; numerical examples; phase space; signal analysis; Continuous wavelet transforms; Discrete Fourier transforms; Discrete transforms; Discrete wavelet transforms; Fourier transforms; Kernel; Performance analysis; Sampling methods; Signal analysis; Wavelet analysis;
Journal_Title :
Information Theory, IEEE Transactions on
