Citation

Abstract

Statistical modeling of the avalanche photodiode electron output is discussed. The exact McIntyre-Conradi density function for the output electron count is reviewed, along with the Webb and Gaussian approximations. In addition, the maximum-likelihood decision statistic for detection of pulse-position-modulation (PPM) signals is derived using the more accurate Webb density rather than the Poisson or Gaussian approximations that have been used previously. It is shown that for Webb-distributed output electrons, the maximum-likelihood rule is to choose the PPM word corresponding to the slot with the maximum electron count. Error probabilities for 256-ary PPM signals are calculated using the maximum-electron-count decision rule in the absence of thermal noise.

Keywords

avalanche photodiode pulse-position modulation

Details

Volume
42-133
Published
May 15, 1998
Pages
1–10
File Size
287.1 KB