2010•Unpublished venueRequires access

From Prime Codes to Cubic Prime Sequences

Qingge Liu, Xiang Gao

Abstract

From concatenation view, this letter analyzed the construction of new frequency hopping (FH) sequences-cubic prime sequences. It is concluded that cubic prime sequences can be constructed by concatenating the frequency-shifted or time-shifted versions of prime codes. Upon this conclusion, two new further thoughts are deduced and more families of FH sequences are constructed with properties unchanged. This work also provides more choices for chess board protocol design in wireless networks at 60 GHz band.

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Available abstract

Key concepts: Concatenation (mathematics), Prime (order theory), Frequency-hopping spread spectrum, Prime number, Computer science, Discrete mathematics, Mathematics, Combinatorics