Title :
Time delay estimation for Poisson derived processes
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
Abstract :
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
Keywords :
delays; filtering and prediction theory; random noise; random processes; Gaussian noise; MAP estimator; MMSE; Poisson derived processes; Poisson intensity amplitude; approximate expressions; filter time-width; inhomogeneous filtered Poisson processes; intensity function; maximum a posteriori; minimum mean square error; optical communications receivers; point process; positron emission tomography; synchronization; time delay estimation; time delay parameter; Delay effects; Delay estimation; Gamma ray detection; Gamma ray detectors; Gaussian noise; Optical fiber communication; Optical filters; Optical noise; Optical receivers; Positron emission tomography;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on
Conference_Location :
New York, NY
DOI :
10.1109/ICASSP.1988.197182
