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Cramer-Rao Lower Bound of Vital Signal Frequency Detection for Ultra Wideband Radar |
Dai Shun①② Fang Guang-you① |
①(Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China)
②(Graduate University of Chinese Academy of Sciences, Beijing 100049, China) |
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Abstract On the basis of the impulse Ultra Wide Band (UWB) sequential signal module and the Maximum Likelihood (ML) rule, the generalized Cramer-Rao Lower Bound (CRLB) for UWB vital signal parameter estimation is analyzed with the Fisher Information Matrix (FIM) and the Cramer-Rao matrix inequation. According to the equivalent time sampling principal, the improved CRLB formula of UWB vital signal frequency detection is derived by adopting a sinusoidal displacement function superseding the vital jiggle signal. The simulation results show that the frequency precision of UWB radar vital signal detection increases with increasing the survey time, the impulse bandwidth and the system SNR. The heartbeat detection demands more rigorous conditions than that of the respiration detection.
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Received: 18 June 2010
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Corresponding Authors:
Dai Shun
E-mail: daiyao06@mails.gucas.ac.cn
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