Families of Gaussian integer sequences with high energy efficiency

This study extends the authors’ earlier work to show that the Gaussian integer sequences of period p m − 1 with p − 2 non‐zero out‐of‐phase autocorrelation values can be constructed from the known families of two‐tuple‐balanced p ‐ary sequences over the finite fieldF p m, where p is an odd prime and m ≥ 2. The proposed Gaussian integer sequences have high energy efficiency and are superior to the perfect Gaussian integer sequences (introduced by Hu et al. in 2012) for the peak‐to‐average power ratio reduction in orthogonal frequency‐division multiplexing systems.