Theoretical limits and a practical estimator for joint estimation of respiration and heartbeat rates using UWB impulse radio
Date
2007
Authors
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Source Title
Proceedings of the International Conference on Ultra-Wideband, IEEE 2007
Print ISSN
2162-6588
Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
606 - 611
Language
English
Type
Conference Paper
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Abstract
In this paper, Cramer-Rao lower bounds are derived fo r joint estimation of respiration and heartbeat rates via impulse radio ultra-wideband signals. Generic models are employed for displacement functions due to respiration and heartbeat, and the bounds are obtained for the cases of known and unknown channel coefficients. In addition, a two-step suboptimal estimator is proposed, which is based on joint time-delay estimation followed by a least-squares approach. It is shown that the proposed estimator is asymptotically optimal under mild conditions. Simulation studies are performed to evaluate the lower bounds and performance of the proposed estimator for realistic system parameters.
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Keywords
Impulse noise, Least squares approximations, Telecommunication systems, Wireless telecommunication systems, Asymptotically optimal, Cramer-Rao lower bound (CRLB), Displacement functions, Generic modelling, Least-squares (LS) estimation, Least-squares approach, Lower bounds, Mild conditions, Realistic systems, Simulation studies, Time-delay estimation, Ultra wide bands, Unknown channels, UWB impulse radio