From Prime Codes to "A New Construction of Frequency-Hopping Codes"
Qingge Liu, Dongkai Yang, Shan-wei Lü
Abstract
Qingge Liu, Dongkai Yang, Shan-wei Lü
Abstract
From concatenation view, this letter analyzed the construction of frequency hopping (FH) sequences by Junjie Chen, Guuchang Yang and Chiaming Yang based on prime codes. It is concluded that the object FH sequences can be constructed by concatenating the frequency-shifted or time-shifted versions of prime codes sequences. Upon this conclusion, two new further thoughts are deduced and more families of FH sequences are constructed with properties unchanged.
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From concatenation view, this letter analyzed the construction of frequency hopping (FH) sequences by Junjie Chen, Guuchang Yang and Chiaming Yang based on prime codes. It is concluded that the object FH sequences can be constructed by concatenating the frequency-shifted or time-shifted versions of prime codes sequences. Upon this conclusion, two new further thoughts are deduced and more families of FH sequences are constructed with properties unchanged.
Key concepts: Concatenation (mathematics), Frequency-hopping spread spectrum, Prime (order theory), Discrete mathematics, Computer science, Prime number, Mathematics, Theoretical computer science