Title: Active noise cancellation of variable frequency narrow band noise using mixture of RLS and LMS algorithms

Authors: Hadi Sadoghi Yazdi, Ahmad Mardani Mehrabad, Saeed Mirghasemi, Mojtaba Lotfizad

Addresses: Department of Computer Engineering, Ferdowsi University of Mashhad, Mashhad, Iran. ' Telecommunication Co., Tehran, Iran. ' Department of Computer and IT Engineering, Islamic Azad University Parand Branch, Parand, Iran. ' Department of Electronic Engineering, Tarbiat Modares University of Tehran, Iran, Tehran

Abstract: Due to the good tracking behaviour of the LMS adaptive filter in a noisy environment, the FX-LMS algorithm is proposed in the literature as a method of active noise control, ANC. But each of the LMS and RLS algorithms have their own advantages and disadvantages. In this paper, a new approach based on a mixture of the RLS and LMS algorithms, RLMS, is presented. The optimum weights of the mixture are derived and it is proved that the MMSE of the proposed system is reduced compared to those of the RLS and LMS algorithms. Then, the proposed RLMS algorithm is employed for active noise cancellation to form the FX-RLMS algorithm, in a duct. Experimental results show better performance of the RLMS algorithm compared to both the RLS and LMS algorithms of convergence and tracking behaviour in the system identification problem and noisy chirp tracking. The FX-RLMS algorithm shows better results in active noise cancellation compared to the FX-LMS algorithm.

Keywords: LMS; least mean squares; RLS; recursive least squares; FX-LMS algorithm; adaptive filters; ANC; active noise control; variable frequency noise; narrow band noise.

DOI: 10.1504/IJSISE.2009.033757

International Journal of Signal and Imaging Systems Engineering, 2009 Vol.2 No.4, pp.163 - 171

Received: 17 Nov 2008
Accepted: 18 Aug 2009
Published online: 30 Jun 2010 *

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