Determining the Number of Radio Signals with Unknown Phases

 We have carried out the synthesis and analysis of the maximum likelihood and quasi-likelihood  algorithms  in  order  to  determine  the  number  of  radio  signals,  introducing  and calculating the  abridged probability of error in the assessment of the number of signals as  the quantitative  characteristic  for  the  performance  evaluation  of  these  algorithms.  The  achieved analytical results lead us to the comparison between the characteristics of maximum likelihood and  quasi-likelihood  algorithms  in  determining  the  number  of  signals.  We  also  consider  the possibility  for  the  application  of  the  quasi-likelihood  algorithm  for  the  determination  of  the number of radio signals with partially unknown initial phases.

https://doi.org/10.15866/irecap.v5i6.7528