Permutation-based frame synchronization method for data transmission systems with short packets

This paper describes the research, development, and implementation of a frame synchronization method for data transmission systems with short packets, specifically those that use nonseparable factorial coding. The key concept of the method is using a permutation as a syncword. This permutation must satisfy the following condition: the minimum Hamming distance to all its circular shifts must be the maximum. The frame synchronization method employs correlation processing and majority processing of data fragments transmitted through the communication channel, where the fragment length is equal to the syncword length. As a result, the proposed frame synchronization method can realize frame synchronization in data transmission systems with adverse noise conditions. Theoretical and practical assessment of the number of accumulated fragments required to establish frame synchronization indicates that implementing the proposed method reduces the amount of received data, which subsequently reduces the time required to establish a connection between the transmitter and receiver. In addition, interleaving accumulated fragments further reduces the required number of received fragments.