Extraction of information on a continuous ion beam from beam-induced shot noise

Autor: W.J. Szajnowski
Rok vydání: 1985
Předmět:
Zdroj: Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms. 6:176-182
ISSN: 0168-583X
DOI: 10.1016/0168-583x(85)90630-5
Popis: A solution is offered to the problem of estimating a beam parameter from random signals induced by a continuous ion beam on sensing electrodes. Two models for such signals are proposed: one is based on a homogeneous Poisson point process, whereas the second employs the concept of a compound Poisson point process. Maximum likelihood estimators for a beam parameter are derived and some suboptimum estimators are presented as well. The theoretical bound on accuracy of a measurement is given in terms of observation time, signal band width and the signal-to-noise ratio. Some possible applications of the results to the development of novel instruments are also briefly discussed.
Databáze: OpenAIRE