Binary Z-Complementary Pairs With Bounded Peak-to-Mean Envelope Power Ratios

Three constructions of Z-complementary pairs (ZCPs) were proposed with upper bounds on their peak-to-mean envelope power ratios (PMEPRs) by Xie and Sun. However, there were no derivations of the PMEPR bounds given by Xie and Sun and, actually, one of those is incorrect. In this letter, a corresponding correct PMEPR bound is provided with the proof. In addition, the PMEPR property of binary ZCPs is studied in this letter. Based on specific autocorrelation properties of some existing ZCPs, the upper bound on PMEPR can be obtained. Therefore, ZCPs with bonus PMEPR properties can be regarded as potential alternatives of Golay complementary pairs (GCPs) in practical applications since they can exist for more lengths.