Research on the decomposition algorithm of rational analytic signal based on rational orthogonal system
YANG Guo-liang
TAN Li-hui
SHI Xiao-xia
Abstract：We improve the LPSD algorithm by introducing the rational orthogonal basis to replace the trigonometric series. Compared with trigonometric series, the advantage of the rational orthogonal basis is that the coefficients of basis function can adaptively be chosen. In this paper, based on the energy decrease fastest method and the least mean square error method, we can choose the coefficients of basis function step by step. Compared with the LPSD algorithm, the improved algorithm has greatly improved the time consuming and the number of iteration steps. Moreover, the fitting effect is better than that of LPSD algorithm.
Keywords：rational analytical signalminimal phaseall phaserational orthogonal system
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 11-17 )