The author considers the use of coding to reduce the Peak-to-Mean Envelope Power Ratio (PMEPR) for Orthogonal Frequency Division Multiplexing (OFDM) systems. Most of the existing schemes that use coding for PMEPR reduction assume a PSK constellation. The author presents the construction of non-square M-QAM symbols from a combination of QPSK and BPSK signals when M=2n and n is an odd number. By using QPSK and BPSK Golay (or Golay-like) sequences, M-QAM sequences with low PMEPR are generated. An upper bound for the instantaneous envelope power of Golay-like M-QAM sequences was derived. After the mean envelope power for these sequences was computed, the general upper bound for the PMEPR of M-QAM sequences with non-square constellations was derived.
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