Performance of Frame Sync Acquisition Algorithms on the AWGN Channel

Performance of the threshold coherent frame sync acquisition (TCFSA) algorithm on the AWGN channel is analyzed and compared with the performance of the algorithm for the BSC. Cases both with and without binary phase ambiguity are considered. Analytical and simulation results are presented and the agreement between the two is shown to he very close. It is shown that the threshold frame sync acquisition algorithm on the BSC outperforms the TCFSA algorithm on the AWGN channel when P_{e} \leq 0.1 , while it is inferior when P_{e} \geq 0.13 in cases of practical interest. A modified acquisition algorithm on the AWGN channel is then proposed. Analytical and simulation results for the modified algorithm show that it is superior to conventional algorithms on the BSC and the AWGN channel.