The performance of the 40 bit frame synchronization sequence adopted for ATCS (automatic train-control systems) is examined in detail. A general expression is derived for the probability of synchronization as a function of the bit error and erasure probability, the overlap n, and the number of bit errors/erasures which are tolerated in the frame sync word. The probability P/sub D/ of successful frame sync with errors-and-erasures decoding is compared to P/sub D/ with errors-only decoding. For a given bound on false alarms, a significant improvement in P/sub D/ is found on random error channels if the receiver contains an erasure zone. An improved frame synchronization scheme which uses the preamble is shown to follow a higher error tolerance for a given false-alarm probability, and thus a higher P/sub D/.
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机译：详细检查了用于ATCS（自动列车控制系统）采用的40位帧同步序列的性能。作为误码误差和擦除概率，重叠N和擦除概率/擦除的数量，导出了一般表达式的概率，该概率是误差误差和擦除概率的误差/擦除的数量。将概率p / sub d /具有错误和擦除解码的成功帧同步与p / sub d /具有仅误差解码的误差。对于假警报的给定绑定，如果接收器包含擦除区域，则在随机误差通道上找到P / SUB D /的显着改进。示出了使用前导码的改进的帧同步方案，以遵循给定的假警报概率的更高误差容差，因此较高的P / SUB D /。
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