Design of optimum sync and detection patterns for frame synchronisation

Frame synchronisation for a packet transmission system, in which the sync pattern is preceded by a known preamble, is considered. The correlation receiver uses an extended (or shortened) version of the sync pattern, which is called the detection pattern. This leads to a new criterion for designing optimum pairs of sync and detection patterns. The obtained patterns result in a normalised improvement of up to 3.91 dB over the known optimum patterns.