Open AccessSign subband adaptive filter with ℓ 1 ‐norm minimisation‐based variable step‐size
Author(s) -
Kim J.H.,
Chang J.H.,
Nam S.W.
Publication year - 2013
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/el.2013.2011
Subject(s) - minimisation (clinical trials) , mathematics , adaptive filter , control theory (sociology) , norm (philosophy) , algorithm , computer science , statistics , artificial intelligence , control (management) , political science , law
A new variable step‐size sign subband adaptive filter (VSS‐SSAF), not requiring any a priori information, is proposed by minimising the ℓ 1 ‐norm of the subband a posteriori error under a box‐constraint on the step‐size. In addition, an efficient numerical procedure for updating its VSS is introduced to solve the non‐differentiable convex problem. The proposed algorithm provides comparable or better convergence performance, when compared with the recent VSS‐SSAF (minimising the mean‐squares deviation with a priori knowledge of noise variance) or other conventional algorithms aimed at robustness against impulsive interferences.