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http://dx.doi.org/10.4313/JKEM.2019.32.1.13

A Study on the Modified RLS Algorithm Using Orthogonal Input Vectors  

Ahn, Bong Man (Industrial Cooperation Foundation, Chonbuk Nation University)
Kim, Kwang Woong (Institute of Sundertechnology)
Ahn, Hyun Gyu (Department of Mathematics Education, Graduate School of Education, Chonbuk Nation University)
Han, Byoung Sung (Industrial Cooperation Foundation, Chonbuk Nation University)
Publication Information
Journal of the Korean Institute of Electrical and Electronic Material Engineers / v.32, no.1, 2019 , pp. 13-19 More about this Journal
Abstract
This paper proposes an easy algorithm for finding tapped-delay-line (TDL) filter coefficients in an adaptive filter algorithm using orthogonal input signals. The proposed algorithm can be used to obtain the coefficients and errors of a TDL filter without using an inverse orthogonalization process for the orthogonal input signals. The form of the proposed algorithm in this paper has the advantages of being easy to use and similar to the familiar recursive least-squares (RLS) algorithm. In order to evaluate the proposed algorithm, system identification simulation of the $11^{th}$-order finite-impulse-response (FIR) filter was performed. It is shown that the convergence characteristics of the learning curve and the tracking ability of the coefficient vectors are similar to those of the conventional RLS analysis. Also, the derived equations and computer simulation results ensure that the proposed algorithm can be used in a similar manner to the Levinson-Durbin algorithm.
Keywords
Modified RLS algorithm; Orthogonal input vectors; Inverse orthogonalization process; System identification;
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