Discrete-time blind deconvolution for distributed parameter systems with dirichlet boundary input and unbounded output with application to a transdermal alcohol biosensor

I. G. Rosen; S. E. Luczak; W. W. Hu; M. Hankin

doi:10.1137/1.9781611973273.22

Discrete-time blind deconvolution for distributed parameter systems with dirichlet boundary input and unbounded output with application to a transdermal alcohol biosensor

I. G. Rosen
, S. E. Luczak
, W. W. Hu
, M. Hankin

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

13 Scopus citations

Abstract

A scheme for the blind deconvolution of blood or breath alcohol concentration from biosensor measured transdermal alcohol concentration based on a parabolic PDE with Dirichlet boundary input and point-wise boundary output is developed. The estimation of the convolution filter corresponding to a particular patient and device is formulated as a nonlinear least squares fit to data. The deconvolution is then formulated as a regularized linear-quadratic programming problem. Numerical results involving patient data are presented.

Original language	English (US)
Title of host publication	SIAM Conference on Control and Its Applications 2013
Editors	Fariba Fahroo, Wei Kang, Qing Zhang
Publisher	Society for Industrial and Applied Mathematics Publications
Pages	160-167
Number of pages	8
ISBN (Electronic)	9781510813298
DOIs	https://doi.org/10.1137/1.9781611973273.22
State	Published - 2013
Externally published	Yes
Event	SIAM Conference on Control and Its Applications 2013 - San Diego, United States Duration: Jul 8 2013 → Jul 10 2013

Publication series

Name	SIAM Conference on Control and Its Applications 2013

Other

Other	SIAM Conference on Control and Its Applications 2013
Country/Territory	United States
City	San Diego
Period	7/8/13 → 7/10/13

Bibliographical note

Publisher Copyright:
© Copyright SIAM.

Publisher link

10.1137/1.9781611973273.22

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Rosen, I. G., Luczak, S. E., Hu, W. W., & Hankin, M. (2013). Discrete-time blind deconvolution for distributed parameter systems with dirichlet boundary input and unbounded output with application to a transdermal alcohol biosensor. In F. Fahroo, W. Kang, & Q. Zhang (Eds.), SIAM Conference on Control and Its Applications 2013 (pp. 160-167). (SIAM Conference on Control and Its Applications 2013). Society for Industrial and Applied Mathematics Publications. https://doi.org/10.1137/1.9781611973273.22

Discrete-time blind deconvolution for distributed parameter systems with dirichlet boundary input and unbounded output with application to a transdermal alcohol biosensor. / Rosen, I. G.; Luczak, S. E.; Hu, W. W. et al.
SIAM Conference on Control and Its Applications 2013. ed. / Fariba Fahroo; Wei Kang; Qing Zhang. Society for Industrial and Applied Mathematics Publications, 2013. p. 160-167 (SIAM Conference on Control and Its Applications 2013).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Rosen, IG, Luczak, SE, Hu, WW & Hankin, M 2013, Discrete-time blind deconvolution for distributed parameter systems with dirichlet boundary input and unbounded output with application to a transdermal alcohol biosensor. in F Fahroo, W Kang & Q Zhang (eds), SIAM Conference on Control and Its Applications 2013. SIAM Conference on Control and Its Applications 2013, Society for Industrial and Applied Mathematics Publications, pp. 160-167, SIAM Conference on Control and Its Applications 2013, San Diego, United States, 7/8/13. https://doi.org/10.1137/1.9781611973273.22

Rosen IG, Luczak SE, Hu WW, Hankin M. Discrete-time blind deconvolution for distributed parameter systems with dirichlet boundary input and unbounded output with application to a transdermal alcohol biosensor. In Fahroo F, Kang W, Zhang Q, editors, SIAM Conference on Control and Its Applications 2013. Society for Industrial and Applied Mathematics Publications. 2013. p. 160-167. (SIAM Conference on Control and Its Applications 2013). doi: 10.1137/1.9781611973273.22

Rosen, I. G. ; Luczak, S. E. ; Hu, W. W. et al. / Discrete-time blind deconvolution for distributed parameter systems with dirichlet boundary input and unbounded output with application to a transdermal alcohol biosensor. SIAM Conference on Control and Its Applications 2013. editor / Fariba Fahroo ; Wei Kang ; Qing Zhang. Society for Industrial and Applied Mathematics Publications, 2013. pp. 160-167 (SIAM Conference on Control and Its Applications 2013).

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abstract = "A scheme for the blind deconvolution of blood or breath alcohol concentration from biosensor measured transdermal alcohol concentration based on a parabolic PDE with Dirichlet boundary input and point-wise boundary output is developed. The estimation of the convolution filter corresponding to a particular patient and device is formulated as a nonlinear least squares fit to data. The deconvolution is then formulated as a regularized linear-quadratic programming problem. Numerical results involving patient data are presented.",

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Discrete-time blind deconvolution for distributed parameter systems with dirichlet boundary input and unbounded output with application to a transdermal alcohol biosensor

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