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Blind Deconvolution of the Aortic Pressure Waveform Using the Malliavin Calculus
Faculty
Science
Year:
2010
Type of Publication:
Article
Pages:
Authors:
Waheed, M. EL-Sayed, Abutaleb, Ahmed S, Elhamy, Nermeen M
DOI:
10.1155/2010/102581
Journal:
MATHEMATICAL PROBLEMS IN ENGINEERING HINDAWI PUBLISHING CORPORATION
Volume:
Research Area:
Engineering; Mathematics
ISSN
ISI:000283187300001
Keywords :
Blind Deconvolution , , Aortic Pressure Waveform Using
Abstract:
Multichannel Blind Deconvolution (MBD) is a powerful tool particularly for the identification and estimation of dynamical systems in which a sensor, for measuring the input, is difficult to place. This paper presents an MBD method, based on the Malliavin calculus MC (stochastic calculus of variations). The arterial network is modeled as a Finite Impulse Response (FIR) filter with unknown coefficients. The source signal central arterial pressure CAP is also unknown. Assuming that many coefficients of the FIR filter are time-varying, we have been able to get accurate estimation results for the source signal, even though the filter order is unknown. The time-varying filter coefficients have been estimated through the proposed Malliavin calculus-based method. We have been able to deconvolve the measurements and obtain both the source signal and the arterial path or filter. The presented examples prove the superiority of the proposed method, as compared to conventional methods.
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