Families of Gaussian integer sequences with high energy efficiency

Abstract

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 field 𝔽 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.