Title :
The Stromberg wavelet and the Franklin system
Author :
Kateb, Djalil ; Drouiche, Karim
Author_Institution :
Dept. Statistiques, Univ. de Paris-Sud, Orsay, France
fDate :
12/1/1993 12:00:00 AM
Abstract :
The Franklin (1928) system is an orthonormal basis of L2[0, 1]. The authors give a multiresolution analysis of L 2[0, 1] and study the reconstruction error made when the Stromberg (see Proc. 21 Nordic Conf. Math., June 1992) analysis (on [0, 1]) is performed instead of the Franklin one. They derive a fast algorithm which enables one to analyze and synthesize a given signal on an interval. Special considerations are held near the edges where the extension of the interval is no longer needed (zero-padding method, etc.). Numerical simulations are provided to emphasize the performances of their results
Keywords :
error analysis; signal processing; signal synthesis; wavelet transforms; Franklin system; Stromberg analysis; Stromberg wavelet; fast algorithm; multiresolution analysis; numerical simulations; orthonormal basis; reconstruction error; zero-padding method; 1f noise; Discrete wavelet transforms; Filters; Fractals; Gaussian noise; Maximum likelihood estimation; Motion estimation; Notice of Violation; Signal processing algorithms; Signal resolution;
Journal_Title :
Signal Processing, IEEE Transactions on
