一种基带GMSK信号相关器及其输出概率分布

何先灯; 裴昌幸; 孟云亮

doi:10.3724/SP.J.1146.2008.01767

一种基带GMSK信号相关器及其输出概率分布

doi: 10.3724/SP.J.1146.2008.01767

基金项目:

国家自然科学基金(60572147)，西安市科技创新计划(YF07015)和学科创新引智计划(B08038)资助课题

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出版历程
- 收稿日期: 2008-12-22
- 修回日期: 2009-07-13
- 刊出日期: 2009-10-19

A Baseband GMSK Signal Correlator and Its Output Probability Distribution

摘要

摘要: 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。
- 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.

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