Title :
Approximate estimates of limiting errors of passive wireless SAW sensing with DPM
Author :
Shmaliy, Yuriy S. ; Ibarra-Manzano, Oscar ; Aridrade-Lucio, J. ; Rojas-Laguna, Roberto
Abstract :
This paper discusses the approximate statistical estimates of limiting errors associated with single differential phase measurement of a time delay (phase difference) between two reflectors of the passive surface acoustic wave (SAW) sensor. The remote wireless measurement is provided at the ideal coherent receiver using the maximum likelihood function approach. Approximate estimates of the mean error, mean square error, estimate variance, and Cramer-Rao bound are derived along with the error probability to exceed a threshold in a wide range of signal-to-noise ratio (SNR) values. The von Mises/Tikhonov distribution is used as an approximation for the phase difference and differential phase diversity. Simulation of the random phase difference and limiting errors also is applied.
Keywords :
delay estimation; error statistics; maximum likelihood estimation; mean square error methods; phase measurement; surface acoustic wave sensors; surface acoustic wave signal processing; Cramer-Rao bound; DPM; Tikhonov distribution; differential phase diversity; differential phase measurement; error probability; limiting errors; maximum likelihood function approach; mean square error method; passive wireless SAW sensing; remote wireless measurement; signal-to-noise ratio; statistical estimation; surface acoustic wave sensor; time delay measurement; variance estimation; von Mises distribution; Acoustic measurements; Acoustic sensors; Acoustic waves; Delay effects; Delay estimation; Maximum likelihood estimation; Phase estimation; Phase measurement; Surface acoustic waves; Wireless sensor networks;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2005.1561634
