Estimating the frequency of a noisy sinusoid by linear regression
IEEE Transactions on Information Theory
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In this paper the problem of optical FMCW (frequency modulated continuous wave) distance estimation is considered. A measurement acquisition system is realized from which the real data are collected. A simple signal model is tested and verified using both simulated and measured data. According to this signal model a distance estimation procedure is introduced. A performance comparison of the distance measurements obtained from real and synthetic data reveals that the achieved measurement accuracy of the real system can be precisely predicted from simulations for the system specifications under consideration and that the distance sensor is therefore accurately modeled. Further we investigate the effects of systematic errors on the distance estimation performance in the acquisition system. It is shown that systematic errors are negligible compared to stochastic errors and the variance of the measurements is close to optimal.