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"Inverse orthogonalization process"

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"Inverse orthogonalization process"

A Study on the Modified RLS Algorithm Using Orthogonal Input Vectors
Bong Man Aim, Kwang Woong Kim, Hyun Gyu Ahn, Byoung Sung Han
J Electr Electron Mater 2019;32(1):13-19.   Published online January 1, 2019
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 11th-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.
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