Abstract—This paper proposes to decompose the maternal
transabdominal ECG signal into its linear, quadratic and cubic
parts and retain only the linear part for further signal
processing. The synthesiser will model the quadratic and cubic
parts of the transabdominal ECG signal. This is done by
predicting each sample of the maternal transabdominal full
cardiac cycles. In order to linearise (retain the linear part and
remove the quadratic and cubic parts) ECG signals, non-linear
structures should be utilised. This paper proposes to linearise
the fetal scalp electrode, the maternal chest, and the maternal
transabdominal ECG signals using adaptive least-mean-square
(LMS) and least-mean-fourth-based (LMF), quadratic and
cubic Volterra structures.
Index Terms—Adaptive algorithms, volterra filters, ECG
signals.
W. A. Zgallai is with the Faculty of Engineering Technology and Science,
Higher Colleges of Technology, UAE (e-mail: walidzgallai@yahoo.co.uk).
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Cite:W. A. Zgallai, "The Application of Adaptive LMF Quadratic and Cubic Volterra Filters to ECG Signals," International Journal of Computer Theory and Engineering vol. 7, no. 5, pp. 337-342, 2015.