Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Detection, Estimation, and Modulation Theory: Radar-Sonar Signal Processing and Gaussian Signals in Noise
Threshold region performance of maximum likelihood direction of arrival estimators
IEEE Transactions on Signal Processing
Threshold performance analysis of maximum likelihood DOA estimation
IEEE Transactions on Signal Processing
Characterization of threshold for single tone maximum likelihoodfrequency estimation
IEEE Transactions on Signal Processing
| Hi-index | 0.00 |
Many optical imaging, ranging, and communications systems rely on the estimation of the arrival time of an optical pulse. In systems utilizing photon-counting photodetectors, which are finding increased use, the detected process is well modeled as a Poisson point process. In this paper, we analyze the performance of maximum likelihood (ML) estimators of the arrival time of an optical pulse, based on observations of a Poisson process. We develop an analytic model for the mean-square error of the ML estimator, illustrating two phenomena that cause deviations from the Cramér-Rao bound at low signal photon flux. The model accurately predicts the ML performance over all regimes considered. We also derive an approximation to the threshold at which the ML estimator essentially fails to provide better than a random guess of the pulse arrival time.