Open AccessStatistical characterisation and analysis of differential correlation‐based frame detector
Author(s) -
Akhlaq Assad,
Ansari Imran Shafique,
Lechner Gottfried,
Rice Mark,
Ahmad Ishtiaq
Publication year - 2019
Publication title -
iet communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.355
H-Index - 62
eISSN - 1751-8636
pISSN - 1751-8628
DOI - 10.1049/iet-com.2018.5882
Subject(s) - metric (unit) , correlation , frame (networking) , false alarm , computer science , monte carlo method , algorithm , differential (mechanical device) , performance metric , span (engineering) , detector , noise (video) , mathematics , statistics , artificial intelligence , telecommunications , physics , operations management , geometry , management , civil engineering , engineering , economics , image (mathematics) , thermodynamics
Next generation satellite systems are required to perform robust frame synchronisation in the presence of large frequency offsets at low carrier‐to‐noise ratios. Differential correlation‐based frame acquisition is an appealing choice for these systems as it provides adequate performance with reasonable complexity. However, the theoretical characterisation of the multi‐span differential correlation metric is still an open problem due to the fact that the correlation outputs with multiple delays are correlated. In this study, the authors derived novel closed‐form approximations for the distribution of the multi‐span differential correlation metric as well as the probabilities of miss‐detection and false alarm. The close agreement between the simulated and theoretical receiver operating curves validates the analysis. This analysis can be used to characterise the performance of multi‐span differential correlation‐based frame synchroniser in terms of the number of delays without running computationally extensive Monte Carlo simulations.