capacity

that can be transmitted reliably over a channel. There is just one

caveat; `reliably' means that the probability of error tends to zero

as the blocklength

ask the more practical question: How much information can be

transmitted over a channel if the blocklength is not infinite? In

this case, we set some probability of error that should not be

exceeded. This question has been the focus of many works which

mainly addressed discrete-time channels. In this report, we extend

these results slightly into the arena of continuous-time channels,

where, instead of a finite blocklength, we deal with a waveform of

finite duration. We study the continuous-time Poisson channel under

the assumptions of a pulse amplitude modulated waveform in the limit

of the pulse-width approaching 0.

-||- _|_ _|_ / __|__ Stefan M. Moser

[-] --__|__ /__\ /__ Senior Scientist, ETH Zurich, Switzerland

_|_ -- --|- _ / / Adjunct Professor, National Yang Ming Chiao Tung University, Taiwan

/ \ [] \| |_| / \/ Web: https://moser-isi.ethz.ch/

Last modified: Tue Feb 4 13:50:41 CET 2020