Nearly perfect Gaussian integer sequences with arbitrary degree
Yubo Li, Liying Tian, Liu Tao · IET Communications · 2018
Based on p ‐ary pseudorandom sequences, this study proposes a construction of degree‐ k Gaussian integer sequences of period by utilising k th power residue symbol satisfying , where p is an odd prime and positive integers . The periodic autocorrelation values are 0 at shifts of the resultant sequences. Specially, there is exactly one non‐zero out‐of‐phase periodic autocorrelation value of the resultant sequences for . The non‐zero elements of the sequences are balanced and can be predefined flexibly. Moreover, the maximum energy efficiency of the proposed sequences is close to for sufficiently large m .