Improved Correlation Receiver for Frame Synchronization

We will use bold letters to denote a sequence x of length L and regular letters to denote its elements x[n] for n = 0, . . . , L − 1 (we start indexing at zero). We assume a communication system where the transmitted sequence is built up as a succession of frames. We define each frame f to consist of three parts: a preamble p, a sync-word s and data d (in this order) of respective lengths Np, Ns and Nd. The frame can alternatively be specified as f = (p, s,d) and has a length N = Np + Ns + Nd. We consider f ∈ {−1, 1} N . The preamble is usually a periodic sequence used for bit synchronization. The sync-word is a short sequence (typically not longer than 20 bits) used to mark the beginning of the data part.