Title :
Geometric analysis of filtered-X LMS algorithms
Author :
Zhou, Dayong ; DeBrunner, Victor E. ; DeBrunner, Linda ; Wang, Yunhua
Author_Institution :
Sch. of Electr. & Comput. Eng., Oklahoma Univ., Norman, OK
Abstract :
In this paper, we present a geometric based analysis of the "filtered" LMS algorithms such as the filtered-x LMS algorithm and the adjoint LMS algorithm. Using this method, the maximum step size, the effects of the secondary path estimation error and the relationship between the adjoint, secondary path equalization and FXLMS LMS algorithms can be easily obtained. Furthermore, our introduced method yields these conditions with some geometrical meaning and intuitive explanation. Based on our introduced method, we also discuss the convergence speed of the filtered-x LMS algorithm for the first time
Keywords :
adaptive estimation; adaptive filters; convergence of numerical methods; least mean squares methods; convergence speed; estimation error; filtered-x LMS algorithm; geometric analysis; least mean square method; secondary path equalization; Adaptive filters; Additive noise; Algorithm design and analysis; Convergence; Error correction; Estimation error; Filtering algorithms; Frequency; Least squares approximation; Upper bound;
Conference_Titel :
Statistical Signal Processing, 2005 IEEE/SP 13th Workshop on
Conference_Location :
Novosibirsk
Print_ISBN :
0-7803-9403-8
DOI :
10.1109/SSP.2005.1628577
