Approximation to the probability density at the output of a photmultiplier tube
Abstract
The probability density of the integrated output of a photomultiplier tube (PMT) is approximated by the Gaussian, Rayleigh, and Gamma probability densities. The accuracy of the approximations depends on the signal energy alpha: the Gamma distribution is accurate for all alpha, the Raleigh distribution is accurate for small alpha (approximate or less than 1 photon) and the Gaussian distribution is accurate for large alpha (approximate or greater than 10 photons).
- Publication:
-
The Telecommunications and Data Acquisition Report
- Pub Date:
- May 1983
- Bibcode:
- 1983tdar.nasa...36S
- Keywords:
-
- Computer Programs;
- Error Detection Codes;
- Markov Processes;
- Optical Communication;
- Photomultiplier Tubes;
- Probability Density Functions;
- Bessel Functions;
- Least Squares Method;
- Poisson Density Functions;
- Random Noise;
- Rayleigh Distribution;
- Electronics and Electrical Engineering