The CRLB for bilinear systems and its biomedical applications
The CRLB for bilinear systems and its biomedical applications
The Cramer Rao lower bound (CRLB) provides a lower bound on the covariance matrix of any unbiased estimator of unknown parameters. It is shown in this paper that the CRLB for a data set generated by a bilinear system with additive Gaussian measurement noise can be expressed explicitly in terms of the outputs of its derivative system which is also bilinear. For bilinear systems with piecewise constant inputs the CRLB for uniformly sampled data can be efficiently computed through solving certain Lyapunov equations. The theoretical results are illustrated through an example arising from surface plasmon resonance experiments for the determination of the kinetic parameters of protein-protein interactions.
1338-1341
Lin, Zhiping
9b046adc-5fd0-4f26-a722-4e72598ecd9f
Zou, Qiyue
ad36818e-4177-4657-ae65-fa38494553ba
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
2005
Lin, Zhiping
9b046adc-5fd0-4f26-a722-4e72598ecd9f
Zou, Qiyue
ad36818e-4177-4657-ae65-fa38494553ba
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Lin, Zhiping, Zou, Qiyue and Ober, Raimund J.
(2005)
The CRLB for bilinear systems and its biomedical applications.
Proceedings - IEEE International Symposium on Circuits and Systems, , [1464843].
(doi:10.1109/ISCAS.2005.1464843).
Abstract
The Cramer Rao lower bound (CRLB) provides a lower bound on the covariance matrix of any unbiased estimator of unknown parameters. It is shown in this paper that the CRLB for a data set generated by a bilinear system with additive Gaussian measurement noise can be expressed explicitly in terms of the outputs of its derivative system which is also bilinear. For bilinear systems with piecewise constant inputs the CRLB for uniformly sampled data can be efficiently computed through solving certain Lyapunov equations. The theoretical results are illustrated through an example arising from surface plasmon resonance experiments for the determination of the kinetic parameters of protein-protein interactions.
This record has no associated files available for download.
More information
Published date: 2005
Identifiers
Local EPrints ID: 424092
URI: http://eprints.soton.ac.uk/id/eprint/424092
ISSN: 0271-4310
PURE UUID: c6a9588f-f215-429d-b147-2055dff59a9b
Catalogue record
Date deposited: 04 Oct 2018 16:30
Last modified: 16 Mar 2024 04:37
Export record
Altmetrics
Contributors
Author:
Zhiping Lin
Author:
Qiyue Zou
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
