Title :
On the asymptotic convergence of B-spline wavelets to Gabor functions
Author :
Unser, M. ; Aldroubi, A. ; Eden, M.
Author_Institution :
Nat. Inst. of Health, Bethesda, MD, USA
fDate :
3/1/1992 12:00:00 AM
Abstract :
A family of nonorthogonal polynomial spline wavelet transforms is considered. These transforms are fully reversible and can be implemented efficiently. The corresponding wavelet functions have a compact support. It is proven that these B-spline wavelets converge to Gabor functions (modulated Gaussian) pointwise and in all L/sub p/-norms with 1>
Keywords :
convergence; signal processing; splines (mathematics); transforms; B-spline wavelets; Gabor functions; asymptotic convergence; cubic B-spline wavelet; nonorthogonal polynomial spline wavelet transforms; signal analysis; time/frequency localization; uncertainty principle; variance product; Continuous wavelet transforms; Convergence; Polynomials; Pulse modulation; Signal analysis; Spline; Time frequency analysis; Uncertainty; Wavelet analysis; Wavelet transforms;
Journal_Title :
Information Theory, IEEE Transactions on
