一种基带GMSK信号相关器及其输出概率分布

一种基带GMSK信号相关器及其输出概率分布
该文提出一种基带GMSK 信号相关器，并从GMSK 解调信号的相位概率分布函数以及独立同分布随机
变量和的概率分布函数出发，给出了该相关器的自相关峰和互相关峰的概率分布函数。从概率论与数理统计出发，推导了一种统一的数字相关器(数字匹配滤波器)的自相关峰和互相关峰的概率分布函数。数值计算结果表明，在相同条件下，该基带GMSK 信号相关器的误检概率比数字相关器的低近一个数量级。
关键词：GMSK；相关器；概率分布
Abstract: A type of baseband GMSK signal correlator is presented in this paper. From the phase probability density function of demodulated GMSK signal and the probability distribution function of the sums of independent identical distribution random variables, the auto-correlation and cross-correlation functions of the correlator are proposed. A uniform auto-correlation and cross-correlation probability distribution functions of digital correlator(digital matched filter) is derived from the probability and statistics theory. Numerical results demonstrate that the error probability of the baseband GMSK signal correlator is about one order of magnitude lower than that of digital one under the same condition.
Key words: GMSK; Correlator; Probability