Abstract
We consider the transmissions of successive short packets. Each of them combines information to be transmitted (codeword) with information for synchronizing the frame (syncword). For short packets, the cost of including syncwords is no longer negligible and its design requires careful optimization. In particular, a trade-off arises depending on the way the total transmit power or the total frame length is split among the syncword and the codeword. Assuming optimal finite-length codes, we develop tight upper bounds on the probability of erroneous synchronization, for both frames with concatenated syncword and frames with superimposed syncword. We use these bounds to optimize this trade-off. Simulation results show that the proposed bounds and analysis have practical relevance for short packet communication system design.
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Notes
Note that for most practical codes and decoders the probability of correct decoding in case of a synchronization error is very small. Hence, PE as defined in Eq. 1 is expected to be a tight upper bound of the FEP.
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Nguyen, A.T.P., Guilloud, F. & Le Bidan, R. On the optimization of resources for short frame synchronization. Ann. Telecommun. 75, 635–640 (2020). https://doi.org/10.1007/s12243-020-00787-y
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DOI: https://doi.org/10.1007/s12243-020-00787-y