Abstract
The optimum decision rule for one-shot packet frame synchronization in additive white Gaussian noise is derived. The optimum decision rule takes into account known symbols preceding the frame synchronization word used for startup carrier and timing synchronization. A simpler-to-implement high signal-to-noise ratio approximation is given. The derived decision rules are compared to the correlation rule and to an approximate maximum likelihood (ML) decision rule designed for periodic packet transmission. Simulation results show that the performance of the various decision rules strongly depends on the absolute synchronization position. The correlation rule shows unacceptable performance for short synchronization words.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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