Fast communication: Influence of low frequency noise in adaptive estimation using the LMS algorithm

Authors:
D. S. Brito;Enio Aguiar;Fausto Lucena;R. C. S. Freire;Yoshifumi Yasuda;A. K. Barros
Affiliations:
Department of Electrical Engineering, Federal University of Campina Grande, Rua Aprigio Veloso, 882, 58.109-900 - Campina Grande, PB, Brazil;Department of Electrical Engineering, Federal University of Maranhao, Avenida dos Portugueses, S/N, 65080-040 - Sao Luis, MA, Brazil;Department of Media Science, Graduate School of Information Science, Nagoya University, Japan;Department of Electrical Engineering, Federal University of Campina Grande, Rua Aprigio Veloso, 882, 58.109-900 - Campina Grande, PB, Brazil;Health Science Center, Toyohashi University of Technology, Toyohashi 441, Japan;Department of Electrical Engineering, Federal University of Maranhao, Avenida dos Portugueses, S/N, 65080-040 - Sao Luis, MA, Brazil
Venue:
Signal Processing
Year:
2009

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Abstract

Adaptive systems are employed in the cancelation of noises and estimation of periodic and quasiperiodic signals. Amongst these signals are the electrocardiogram (ECG), impedance cardiography (ZCG), brain evoked potentials and modulated signals in telecommunication applications. In this paper we study the behavior of the weights of the LMS algorithm when used to estimate the coefficients of the discrete Fourier transform (DFT) of a signal under influence of low frequencies. We show theoretically that low frequency noise affects the estimation of the weights at higher frequencies. The simulation results obtained are in agreement with theoretical results. Moreover, we exemplify the problem with impedance cardiography (ZCG) signals.