Perfect Gaussian Integer Sequences of Odd Period ${2^m} - 1$
Chong‐Dao Lee, Yu-Pei Huang, Yaotsu Chang, Ho‐Hsuan Chang · IEEE Signal Processing Letters · 2014
In this letter, some perfect Gaussian integer sequences of period 2m- 1 are proposed based on the trace representations of Legendre sequences, Hall's sextic residue sequences, m-sequences, and Gordon-Mills-Welch (GMW) sequences over the finite field \BBF2m. Moreover, the energy efficiency of these sequences is approximately 1 for sufficiently large m.