Analysis and Evaluation of Novel Asterisk-16QAM Constellation Family and Its Application for PMEPR Control in Golay-Coded OFDM Systems

Coding techniques for reducing peak-to-mean-envelope-power-ratio (PMEPR) have been intensively investigated for the orthogonal frequency division multiplexing (OFDM) systems adopting PSK, square QAM, and rectangular QAM constellations since the PMEPR is the crucial problem in OFDM. Recently, we designed a new coding method for reducing the PMEPR in OFDM built on star 16QAM constellations. In this paper, we present a generalized paradigm for the novel asterisk 16QAM constellations and facilitate the new PMEPR controlling technique for OFDM systems. In this new framework of the asterisk 16QAM (A16QAM) coded OFDM systems, we establish the theoretical development and show that the maximum PMEPR is bounded by 4.0 and 2.0, if the information symbols are coded using Golay sequences and Golay complementary pairs, respectively.