Blind deconvolution of the aortic pressure waveform using the malliavin calculus

Mathematical Problems in Engineering

Volumn 2010, Issue , 2010, Pages

  Abutaleb, Ahmed S ^a,b   Elhamy, Nermeen M ^c   Waheed, M El Sayed ^c  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b CAIRO UNIVERSITY   (Egypt)

^c Zagazig University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

ACCURATE ESTIMATION; AORTIC PRESSURE; ARTERIAL NETWORKS; ARTERIAL PRESSURES; BLIND DECONVOLUTION; CONVENTIONAL METHODS; FINITE IMPULSE RESPONSE FILTER; MALLIAVIN CALCULUS; MULTICHANNEL BLIND DECONVOLUTION; PRESENTED EXAMPLES; SOURCE SIGNALS; STOCHASTIC CALCULUS; TIME VARYING; TIME VARYING FILTERS; UNKNOWN COEFFICIENTS;

BELT DRIVES; CONVOLUTION; DYNAMICAL SYSTEMS; FIR FILTERS; IMPULSE RESPONSE; TIME VARYING SYSTEMS;

CALCULATIONS;

EID: 78249238177     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2010/102581     Document Type: Article

References (43)

1. Swamy G., Ling Q., Li T., Mukkamala R., Blind identification of the aortic pressure waveform from multiple peripheral artery pressure waveforms American Journal of Physiology 2007 292 5 H2257 H2264
2. Huang X., Qiu P., Blind deconvolution for jump-preserving curve estimation Mathematical Problems in Engineering 2010 2010 9
3. Pham D.-T., Cardoso J.-F., Blind separation of instantaneous mixtures of nonstationary sources IEEE Transactions on Signal Processing 2001 49 9 1837 1848
4. Gbaoui L., Kaniusas E., Arterial pulse wave decomposition by independent component analysis Proceedings of the IEEE International Workshop on Medical Measurements and Applications (MeMeA '09) May 2009 111 115
5. Li M., Wu Y.-S., Xu B.-H., Jia W., Zhao W., An on-line correction technique of random loading with a real-time signal processor for a laboratory fatigue test Journal of Testing and Evaluation 2000 28 5 409 414
6. Chen S. Y., Li Y. F., Zhang J., Vision processing for realtime 3-D data acquisition based on coded structured light IEEE Transactions on Image Processing 2008 17 2 167 176
7. Porta A., Aletti F., Vallais F., Baselli G., Multimodal signal processing for the analysis of cardiovascular variability Philosophical Transactions of the Royal Society of London. Series A 2008 367 1887 391 409
8. Li M., Lim S. C., Modeling network traffic using generalized Cauchy process Physica A 2008 387 11 2584 2594
9. Dgerine S., Kane E., A comparative study of approximate joint diagonalization algorithms for blind source separation in presence of additive noise IEEE Transactions on Signal Processing 2007 55 6 3022 3031
10. Chen S. Y., Youfu L., Zhang J., Wang W., Active Sensor Planning for Multiview Vision Tasks 2008 Berlin, Germany Springer
11. Sugimachi M., Shishido T., Miyatake K., Sunagawa K., A new model-based method of reconstructing central aortic pressure from peripheral arterial pressure Japanese Journal of Physiology 2001 51 2 217 222
12. Zhang Y., Asada H. H., Blind system identification of noncoprime multichannel systems and its application to noninvasive cardiovascular monitoring Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME 2004 126 4 834 847
13. Douniama C., Sauter C. U., Couronne R., Blood pressure tracking capabilities of pulse transit times in different arterial segments: a clinical evaluation Computers in Cardiology 2009 36 201 204
14. Ursino M., Giannessi M., Frapparelli M., Magosso E., Effect of cushing response on systemic arterial pressure IEEE Engineering in Medicine and Biology Magazine 2009 28 6 63 71
15. Aletti F., Bassani T., Lucini D., Pagani M., Baselli G., Multivariate decomposition of arterial blood pressure variability for the assessment of arterial control of circulation IEEE Transactions on Biomedical Engineering 2009 56 7 1781 1790
16. Scanning the issuespecial issue on blind systems identification and estimation Proceedings of the IEEE 1998 86 10 1903 1905
17. Li M., Recent results on the inverse of min-plus convolution in computer networks International Journal of Engineering and Interdisciplinary Mathematics 2009. 1 1 1 9
18. Hahn J.-O., Reisner A., Harry Asada H., Physiologic-state-adaptive recovery of aortic blood pressure and flow using blind 2-channel IIR cardiovascular system identification Proceedings of the American Control Conference (ACC '08) June 2008 838 843
19. Hahn J.-O., Reisner A. T., Harry Asada H., Modeling and 2-sensor blind identification of human cardiovascular system Control Engineering Practice 2009 17 11 1318 1328
20. Gu W. B., Poon C. C.Y., Leung H. K., Sy M. Y., Wong M. Y. M., Zhang Y. T., A novel method for the contactless and continuous measurement of arterial blood pressure on a sleeping bed Proceedings of the 31st Annual International Conference of the IEEE Engineering in Medicine and Biology Society: Engineering the Future of Biomedicine (EMBC '09) September 2009 6084 6086
21. Hahn J.-O., McCombie D. B., Reisner A. T., Hojman H. M., Harry A., Identification of multichannel cardiovascular dynamics using dual laguerre basis functions for noninvasive cardiovascular monitoring IEEE Transactions on Control Systems Technology 2010 18 1 170 176
22. McCombie D. B., Reisner A. T., Asada H. H., Laguerre-model blind system identification: cardiovascular dynamics estimated from multiple peripheral circulatory signals IEEE Transactions on Biomedical Engineering 2005 52 11 1889 1901
23. Xu D., Bari Olivier N., Mukkamala R., Continuous cardiac output and left atrial pressure monitoring by long time interval analysis of the pulmonary artery pressure waveform: proof of concept in dogs Journal of Applied Physiology 2009 106 2 651 661
24. Wei R., Im J. J., Park S. H., Jung N. S., Estimation of central blood pressure using radial pulse waveform Proceedings of the International Symposium on Information Technology Convergence (ISITC '07) November 2007 250 253
25. Hahn J.-O., Reisner A. T., Asada H. H., Blind identification of two-channel IIR systems with application to central cardiovascular monitoring Journal of Dynamic Systems 2009 131 5
26. Li M., An iteration method to adjusting random loading for a laboratory fatigue test International Journal of Fatigue 2005 27 7 783 789
27. Abutaleb A., El-sayed Waheed M., Elhamy N. M., Multi-channel blind deconvolution using the stochastic calculus for estimation of the central arterial pressure. Mathematical Problems in Engineering. In press
28. Abutaleb A., Instantaneous frequency estimation using stochastic calculus and bootstrapping EURASIP Journal on Applied Signal Processing 2005 12 1886 1901
29. Abutaleb A., Papaioannou M. G., Malliavin calculus for the estimation of time-varying regression models used in financial applications International Journal of Theoretical and Applied Finance 2007 10 5 771 800
30. Ocone D. L., Karatzas I., A generalized Clark representation formula, with application to optimal portfolios Stochastics and Stochastics Reports 1991 34 3-4 187 220
31. Li M., Fractal time seriesa tutorial review Mathematical Problems in Engineering 2010 2010 26
32. Abutaleb A., Papaioannou M., Introduction to the Stochastic Calculus and the Malliavin Calculus with Applications in Engineering and Finance 2010 New York, NY, USA IDEA
33. Cattani C., Fractals and hidden symmetries in DNA Mathematical Problems in Engineering 2010 2010 31
34. Nualart D., The Malliavin Calculus and Related Topics 1995 New York, NY, USA Springer xii+266 Probability and Its Applications (New York)
35. Li M., Zhao W., Representation of a stochastic traffic bound IEEE Transactions on Parallel and Distributed Systems 2010 21 9 1368 1372
36. Hafidi B., Mkhadri A., A corrected Akaike criterion based on Kullback's symmetric divergence: applications in time series, multiple and multivariate regression Computational Statistics Data Analysis 2006 50 6 1524 1550
37. Oksendal B., An introduction to Malliavin calculus with applications to economics Working Paper 1997 3 Norwegian School of Economics and Business Administraion
38. Van Dijk H., Monfort A., Brown B., Econometric Inference Using Simulation Techniques 1995 NewYork, NY, USA John Wiley and Sons
39. Kutoyants Y. A., Statistical Inference for Ergodic Diffusion Processes 2003 London, UK Springer xiv+481 Springer Series in Statistics
40. Jackel P., Monte Carlo Simulation Methods in Finance 2003 New York, NY, USA John Wiley and Sons
41. Kloeden P. E., Platen E., Numerical Solution of Stochastic Differential Equations 1992 23 Berlin, Germany Springer xxxvi+632 Applications of Mathematics (New York)
42. Barndorff-Nielsen O. E., Shephard N., Non-Gaussian Ornstein-Uhlenbeck- based models and some of their uses in financial economics Journal of the Royal Statistical Society Series B 2001 63 2 167 241
43. ksendal B., Stochastic Differential Equations: An Introduction with Application 1998 5th Berlin, Germany Springer xx+324 Universitext