Abstract—This paper proposes a normalized LMS algorithm
(NLMS) that automatically determines the number of
orthogonal correction factors (OCFs) by using a
pseudo-fractional method, which relaxes the constraint that the
number of OCFs in the NLMS algorithm must be integral and
introduces the concept of a pseudo-fractional OCF number in
the adaptation rule. The pseudo-fractional OCF number is
adjusted by using the difference between the averages of the
accumulated squared-output errors. The experimental results
show that the proposed algorithm has not only a fast
convergence rate but also a small steady-state estimation error
with low computational complexity in comparison to existing
algorithms with multiple input vectors.
Index Terms—Adaptive filters, normalized LMS with
orthogonal correction factors (NLMS-OCF), pseudo-fractional
OCF number, pseudo-fractional method.
S. M. Jung and P. G. Park are with the Electrical Engineering Department,
Pohang University of Science and Technology (POSTECH), Pohang, Korea
(e-mail: illus2@postech.ac.kr, ppg@postech.ac.kr).
J.-H. Seo is with the Division of IT Convergence Engineering, Pohang
University of Science and Technology (POSTECH), Pohang, Korea (e-mail:
bmclubhs@postech.ac.kr).
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Cite:Sang Mok Jung, Ji-Hye Seo, and Poo Gyeon Park, "Normalized Least-Mean-Square Algorithm with a Pseudo-Fractional Number of Orthogonal Correction Factors," Journal of Advances in Computer Networks vol. 3, no. 2, pp. 167-172, 2015.