A Direct and Generalized Construction of Polyphase Complementary Set With Low PMEPR

A salient disadvantage of orthogonal frequency division multiplexing (OFDM) systems is the high peak-to-mean envelope power ratio (PMEPR). The PMEPR problem can be solved by using complementary sequences with low PMEPR. In this paper, we present a new construction of complementary set (CS) by using generalized Boolean functions (GBFs), which generalizes the constructions given by Davis et al., Paterson and Schmidt. The proposed CS provides lower PMEPR upper bound as compared to Schmidt’s method for the sequences corresponding to higher order (≥ 3) GBFs. We obtain complementary sequences with maximum PMEPR of 2k+1 and 2k+2 − 2M where k, M are non-negative integers that can be easily derived from the GBF associated with the CS.