Analysis of Simplified Frame Synchronization Scheme for Burst-Mode Multi-Carrier System

Frame synchronization is one of the basic function units in a burst-mode digital communication receiver. In a lot of burst communication systems, a preamble is placed at the start of a signal burst for synchronization and channel estimation. Using a cross-correlation detector to calculate the correlation between the local preamble sequence and the received preamble sequence is a common synchronization method. Simplified cross-correlation-detector which quantizes each detected sample into 1 bit can dramatically reduce the consumption of the chip resource when implemented in hardware. In this letter, the performance analysis for a simplified cross-correlation-detector whose input is multi-carrier modulated signal is presented. The relationships between correlation length, decision threshold, and the probabilities of false alarm and missing detection are given. The correctness of the detector is validated through system simulations and numerical calculations.