基于马尔可夫链的含有检测次数约束条件的唐检测器

摘要

Tong detector is a kind of variable dwell detector, and is used to avoid the possibility that the Tong detector get caught in a situation where it satisfies neither k = A nor k = 0, the maximum dwell times threshold is set up to help the control and verifying time of direct sequence spread spectrum signal ( DSSS signal, henceforth) acquisition. The mathematical model of Tong detector based on Markov chain is built, the first hitting time and sooner-or-later probability of Markov chain are used to analyze the detection performance of Tong detector with detection times constraint. The simulation results show that, if the maximum dwell time threshold is selected reasonably, the detection performance can remain unchanged while the verifying time of DSSS signal acquisition is under effective control.%针对可变驻留次数唐检测器由于驻留次数不定可能导致的单次检测次数已过多,但仍不能满足上/下行计数器值k＝A或k=0退出条件的问题,提出一种对单次检测次数设置门限进行约束的方法来避免此种情况发生.将唐检测器建模为齐次马尔可夫链,利用齐次马尔可夫链中的首达时间与迟早概率等定义进行分析,得到含有检测次数约束的唐检测器检测性能公式.仿真结果表明,只要检测次数门限选择合理,可以在检测性能不受影响的情况下通过限制单次检测次数有效控制直接序列扩频信号的捕获验证时间.