The Analysis of the Quasi-likelihood Algorithm of the Estimated Parameter of the Signal with Unknown Localization within the Observation Interval

We carried out the synthesis and analysis of the quasilikelihood  estimation  algorithm  of  regular  parameter  of  an untailored pulse with the unknown moments of appearance and disappearance  observed  against  additive  Gaussian  white  noise. We  studied  the  influence  of  prior  ignorance  of  the  moments  of appearance  and  disappearance  on  accuracy  of  the  introduced estimate.  As  an  example  we  considered  the  quasi-likelihood estimates  of  the  amplitude  and  initial  phase  of  a  rectangular radio signal. And we found the loss in estimation accuracy due to ignorance of the moments of appearance and disappearance.

https://www.atlantis-press.com/proceedings/icemie-16/25853862