Browse > Article
http://dx.doi.org/10.7776/ASK.2021.40.3.213

A study on robust recursive total least squares algorithm based on iterative Wiener filter method  

Lim, Jun Seok (Department of Electrical Engineering, Sejong University)
Abstract
It is known that total least-squares method shows better estimation performance than least-squares method when noise is present at the input and output at the same time. When total least squares method is applied to data with time series characteristics, Recursive Total Least Squares (RTS) algorithm has been proposed to improve the real-time performance. However, RTLS has numerical instability in calculating the inverse matrix. In this paper, we propose an algorithm for reducing numerical instability as well as having similar convergence to RTLS. For this algorithm, we propose a new RTLS using Iterative Wiener Filter (IWF). Through the simulation, it is shown that the convergence of the proposed algorithm is similar to that of the RTLS, and the numerical robustness is superior to the RTLS.
Keywords
Total least squares; Iterative Wiener Filter (IWF); Numerical robustness; Recursive algorithm;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. Lim and H. Pang, "l1- regularized recursive total least squares based sparse system identification for the error-in-variables," SpringerPlus, 5, 1-9 (2016).   DOI
2 A. H. Sayed, Fundamentals of Adaptive Filtering (Wiley, NewYork, 2003), pp. 212-280.
3 B. Xi and Y. Liu, "Iterative Wiener filter," Electronics Letters, 28, 1892-1899 (2013).
4 J. Lim, "L1-norm iterative wiener filter for sparse channel estimation," Circuits Syst Signal Process. 39, 6386-6393 (2020).   DOI
5 C. Davila, "An efficient recursive total least squares algorithm for FIR adaptive filtering," IEEE Trans Signal Process. 42, 268-280 (1994).   DOI
6 J. Lim and Y. Pyeon, "FIR system identification method using collaboration between RLS (recursive least squares) and RTLS (recursive total least squares)" (in Korean), J. Acoust. Soc. Kr. 29, 374-380 (2010).
7 R. Arablouei, K. Dogancay, and S. Werner, "Recursive total least-squares algorithm based on inverse power method and dichotomous coordinate-descent iterations," IEEE Trans Signal Process. 63, 1941-1949 (2015).   DOI
8 N. Choi, J. Lim, J. Song, and K. Sung," Adaptive system identification using an efficient recursive total least squares algorithm" (in Korean), J. Acoust. Soc. Kr. 22, 93-100 (2003).
9 J. Lim, "Error in variable FIR typed system identification using combining total least mean squares estimation with least mean squares estimation" (in Korean), J. Acoust. Soc. Kr. 29, 97-101 (2010).
10 J. Lim and H. Pang, "Mixed norm regularized recursive total least squares for group sparse system identification," Int. J. Adapt. Control Signal Process. 30, 664-673 (2016).   DOI
11 J. Lim and H. Pang, "Reweighted l1 regularized TLS linear neuron for the sparse system identification," Neurocomputing, 173, 1972-1975 (2016).   DOI