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Blind Deconvolution of the Aortic Pressure Waveform Using the Malliavin Calculus
Joint Authors
Abutaleb, Ahmed S.
Elhamy, Nermeen M.
Waheed, M. El-Sayed
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-23
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Abutaleb, Ahmed S.& Waheed, M. El-Sayed& Elhamy, Nermeen M.. 2010. Blind Deconvolution of the Aortic Pressure Waveform Using the Malliavin Calculus. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-27.
https://search.emarefa.net/detail/BIM-446480
Modern Language Association (MLA)
Abutaleb, Ahmed S.…[et al.]. Blind Deconvolution of the Aortic Pressure Waveform Using the Malliavin Calculus. Mathematical Problems in Engineering No. 2010 (2010), pp.1-27.
https://search.emarefa.net/detail/BIM-446480
American Medical Association (AMA)
Abutaleb, Ahmed S.& Waheed, M. El-Sayed& Elhamy, Nermeen M.. Blind Deconvolution of the Aortic Pressure Waveform Using the Malliavin Calculus. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-27.
https://search.emarefa.net/detail/BIM-446480
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446480