By Topic

Regular point processes and their detection

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)

A class of point processes that possess intensity functions are studied. The processes of this class, which seem to include most point processes of practical interest, are called regular point processes (RPP's). Expressions for the evolution of these processes and especially for their joint occurrence statistics are derived. Compound RPP's, which are RPP's whose intensity functions are themselves stochastic processes, are shown to be RPP's whose intensity functions are given as the causal minimum mean-squared-error (MMSE) estimates of the given intensity functions. The superposition of two independent RPP's is shown to yield an RPP whose intensity is given as a causal least squares estimate of the appropriate combination of the two given intensity functions. A general likelihood-ratio formula for the detection of compound RPP's is obtained. Singular detection cases are characterized. Detection procedures thai use only the total number of counts are discussed. As an example, the optimal detection scheme for signals of the random-telegraph type with unknown transition intensities is derived.

Published in:

IEEE Transactions on Information Theory  (Volume:18 ,  Issue: 5 )