Title :
Convergence analysis of a CORDIC-based gradient adaptive lattice filter
Author :
Shiraishi, Shin´ichi ; Haseyama, Miki ; Kitajima, Hideo
Author_Institution :
Sch. of Eng., Hokkaido Univ., Sapporo, Japan
Abstract :
This paper presents a theoretical analysis of a CORDIC-based gradient adaptive lattice filter. First, we provide a convergence model and reveal convergence properties of filter coefficients. Second, we derive a steady-state model based on a Markov chain. By using the steady-state model, the relation between the step size parameter and the variance of the estimation error is clarified. The results of the analysis facilitate an efficient hardware design of the filter.
Keywords :
Markov processes; adaptive filters; convergence of numerical methods; gradient methods; lattice filters; CORDIC-based gradient adaptive lattice filter; Markov chain; convergence analysis; convergence model; efficient hardware design; estimation error variance; filter coefficients; steady-state model; step size parameter; Adaptive filters; Computer architecture; Convergence; Equations; Estimation error; Hardware; Iterative algorithms; Lattices; Steady-state; Transversal filters;
Conference_Titel :
Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on
Print_ISBN :
0-7803-7761-3
DOI :
10.1109/ISCAS.2003.1205891
