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分段拷贝相关器是高斯白噪声背景下,快速衰落水声信道中,对应最大似然比准则的最佳接收机,其输出服从χ2分布。推导出有信号时接收机输出端的概率密度函数和检测概率的解析表达式,计算机仿真结果验证了所获得结果的正确性。最后通过计算无信号时接收机输出的概率密度函数,在给定虚警概率的情况下,求出了接收机的检测门限。
Fractional copy correlator is the best receiver corresponding to the maximum likelihood ratio criterion in fast fading underwater acoustic channel in the background of white Gaussian noise, and its output follows χ2 distribution. The analytic expressions of the probability density function and the detection probability at the output of the receiver with the signal are deduced. The computer simulation results verify the correctness of the obtained results. Finally, by calculating the probability density function of the receiver output without signal, the receiver detection threshold is obtained given the false alarm probability.