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Time delay estimation for Poisson derived processes

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1 Author(s)
Hero, A.O. ; Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

The author treats the problem of time delay estimation for inhomogeneous filtered Poisson processes in the presence of Gaussian noise when the time delay parameter is imbedded in the intensity function of the point process. This is an important estimation problem in the synchronization of optical communications receivers, and positron emission tomography. Approximate expressions for the maximum a posteriori (MAP) and the minimum mean square error (MMSE) estimators are obtained which become increasingly accurate as the product of the filter time-width and the Poisson intensity amplitude approach zero. Large sample approximations to the bias and the MSE are presented for the approximate MAP estimator

Published in:

Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on

Date of Conference:

11-14 Apr 1988