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Probability of frame synchronisation failure for binary and complex-valued sequences

机译:二进制和复数值序列帧同步失败的可能性

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摘要

Several different sequences for frame synchronisation have been published in the literature. Recently, even sequences using complex signal alphabets have been specified. Whether binary or complex, they are always chosen according to the properties of their autocorrelation function. However, the probability of being out of synchronisation has not as such been considered sufficiently. The paper serves as a compendium of derivations of such probability formulas for various applications and conditions, including both binary and complex signal constellations. Hard quantisation as well as the continuous case are treated.
机译:文献中已经公开了几种不同的帧同步序列。最近,甚至已经指定了使用复杂信号字母的序列。无论是二进制还是复数,总是根据其自相关函数的属性进行选择。但是,尚未充分考虑不同步的可能性。本文可作为针对各种应用和条件(包括二进制和复杂信号星座图)的此类概率公式的推导纲要。硬量化和连续情况都得到处理。

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