By developing new mathematical descriptions of $4^{q}$ (integer $q\ge 2$ ) quadrature amplitude modulation (QAM) constellation, a novel construction producing $4^{q}$ -QAM complementary sequences (CSs) of length $2^{m}$ (integer $m\ge… Click to show full abstract
By developing new mathematical descriptions of $4^{q}$ (integer $q\ge 2$ ) quadrature amplitude modulation (QAM) constellation, a novel construction producing $4^{q}$ -QAM complementary sequences (CSs) of length $2^{m}$ (integer $m\ge 2$ ) is presented. The proposed sequences include the known $4^{q}$ -QAM CSs constructed from Cases I to III constructions, proposed by Li, as special cases. For 16-QAM CSs, the number of the resultant sequences is determined precisely. New sequences have a larger family size so as to increase the code rates. When used in orthogonal frequency-division multiplexing (OFDM) systems, new sequences possess the same peak envelope power (PEP) upper bounds as those of the known sequences referred to above.
