It is well know that the usual algorithm of Continued Wavelet Transformation is based on the formula of Newton-Cotes, but the accuracy of the algorithm is strictly restrained by the inherent deficiency of polynomial i...It is well know that the usual algorithm of Continued Wavelet Transformation is based on the formula of Newton-Cotes, but the accuracy of the algorithm is strictly restrained by the inherent deficiency of polynomial interplant . In this paper, a new applicable algorithm of CWT-the Thiele-type algorithm is obtained based on the theory of Thiele-type continued fractions and rational interplant. It is not difficult to find that the result of new algorithm is more accurate than traditional algorithm's.展开更多
文摘It is well know that the usual algorithm of Continued Wavelet Transformation is based on the formula of Newton-Cotes, but the accuracy of the algorithm is strictly restrained by the inherent deficiency of polynomial interplant . In this paper, a new applicable algorithm of CWT-the Thiele-type algorithm is obtained based on the theory of Thiele-type continued fractions and rational interplant. It is not difficult to find that the result of new algorithm is more accurate than traditional algorithm's.