Golay code based carrier phase recovery

In this paper we present a Golay code based carrier phase recovery scheme. Golay code is a pair of complementary codes. Golay codes have been used for channel coding in communications. We have used the side lobe suppression property of Golay Code in recovery of the phase of the carrier. We begin with the discussion of side lobes suppression property of the Golay code. Then we present the pass band scheme i.e. the QPSK scheme for the transmission of Golay code, and the algorithm for the recovery of the phase of Golay Code based QPSK signal. We have adopted the serial search, parallel phase search and maximum likelihood estimation (MLE) techniques for carrier phase recovery. Carrier phase recovery algorithm using Golay code is a new addition in the carrier phase recovery methods. This new scheme exhibits excellent carrier phase recovery performance. With its sound mathematical basis, the Golay code based carrier phase recovery algorithm is expected to become an important tool in communications and carrier phase recovery applications.