REMARKS ON ADAPTIVE FOURIER DECOMPOSITION
Tao Qian, Yanbo Wang · International Journal of Wavelets Multiresolution and Information Processing · 2013
This is a continuation of the study of adaptive Fourier decomposition (AFD).15 Under a mild condition not in terms of smoothness, a convergence rate is provided. We prove that the selection of the parameters corresponding to Fourier series in the average sense is optimal. We also present the transformation matrices between the adaptive rational orthogonal system and the related sequence of the shifted Cauchy kernels and their derivatives.