Title :
Family of generalized Demidenko functionals for robust estimation
Author :
Vovk, S. ; Borulko, V.
Author_Institution :
Dept. of Phys., Electron. & Comput. Syst., Dnipropetrovsk Nat. Univ., Dnipropetrovsk, Ukraine
Abstract :
Problem of filtering of piecewise constant signal corrupted by additive Gaussian or Laplacian noise is considered. Efficiency of minimum duration functionals based on Demidenko function is analyzed. It is shown, that myriad and meridian functionals are the limit forms of generalized Demidenko ones.
Keywords :
Gaussian noise; filtering theory; functional analysis; signal denoising; additive Gaussian noise; generalized Demidenko function; meridian functional; myriad functional; piecewise constant signal filtering; robust estimation; Additives; Filtering; Gaussian noise; Laplace equations; Robustness; Smoothing methods;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2012 XVIIth International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
978-1-4673-2253-9