Open AccessTheoretical lower bound on average periodic partial Hamming correlations of frequency‐hopping sequence set
Author(s) -
Zhou Limengnan,
Peng Daiyuan
Publication year - 2015
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2015.2503
Subject(s) - sequence (biology) , upper and lower bounds , frequency hopping spread spectrum , mathematics , hamming distance , hamming code , set (abstract data type) , hamming bound , hamming graph , hamming weight , discrete mathematics , algorithm , combinatorics , computer science , telecommunications , mathematical analysis , block code , biology , genetics , decoding methods , programming language
Owing to the limited synchronisation time and hardware complexity of frequency‐hopping multiple access (FHMA) systems, partial Hamming correlation of the frequency‐hopping sequence (FHS) set applied by the FHMA system plays an increasingly important role in measuring the performance of the system. A new lower bound on the average periodic partial Hamming correlation which is tighter than the existing one in a particular case is introduced. The new lower bound includes some earlier theoretical lower bounds on the average Hamming correlation of the FHS set as special cases. A necessary and sufficient condition for obtaining optimality with regard to the new bound is also presented.