A unique word detection scheme for high-speed satellite communications

We propose a unique word detection scheme having the correction of the phas e ambiguity that remains in the output of a carrier recovery circuit for QP SK systems. The performance of the proposed scheme is analyzed by obtaining the probability generating function (PGF) for the output of the detector. The PGF is obtained from the z-transform of the probability density functio n (PDF) for each matched symbol with the reference symbol and by using the characteristics at this time that the random variables far matched symbols are independent and identically distributed. Then the total PGF for a uniqu e word is obtained from powering the PGF for the individual symbol. From th e. total PGF, the length of a UW and the threshold value for detection can be obtained with a detection probability defined in a required system speci fication.