Low peak to average power ratio cyclic Golay sequences for OFDM systems

In this paper, the cyclic shifts of low peak to average power ratio (PAPR) codes used in OFDM transmission is proposed. They comprise a superclass of Golay complementary codes (GCC) with the same level of PAPR (viewed by the discrete OFDM symbols). These codes achieve higher information rate with the expense of lower error correction capabilities. We have proposed a framework for constructing these codes out of GCC. The framework can be applied to obtain the cyclic shift of any code represented by Boolean algebraic functions. An efficient transmission scheme is proposed such that the coding scheme can be switched between the Golay and cyclic Golay codes, based on a feedback from the receiver to perform a better trade-off between the coding rate and bit error rate (BER).