| 一种基带GMSK信号相关器及其输出概率分布 |
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| 引用本文： | 何先灯, 裴昌幸, 孟云亮. 一种基带GMSK信号相关器及其输出概率分布[J]. 电子与信息学报, 2009, 31(10): 2532-2535. doi: 10.3724/SP.J.1146.2008.01767 |
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| 作者姓名： | 何先灯 裴昌幸 孟云亮 |
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| 作者单位： | 西安电子科技大学ISN国家重点实验室,西安,710071;西安电子科技大学ISN国家重点实验室,西安,710071;西安电子科技大学ISN国家重点实验室,西安,710071 |
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| 基金项目： | 国家自然科学基金，西安市科技创新计划，学科创新引智计划(B08038)资助课题 |
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| 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。
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| 关 键 词： | GMSK 相关器 概率分布 |
| 收稿时间： | 2008-12-22 |
| 修稿时间： | 2009-07-13 |
A Baseband GMSK Signal Correlator and Its Output Probability Distribution |
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| He Xian-deng, Pei Chang-xing, Meng Yun-liang. A Baseband GMSK Signal Correlator and Its Output Probability Distribution[J]. Journal of Electronics & Information Technology, 2009, 31(10): 2532-2535. doi: 10.3724/SP.J.1146.2008.01767 |
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| Authors: | He Xian-deng Pei Chang-xing Meng Yun-liang |
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| Affiliation: | The State Key Lab of Integrated Services Networks, Xidian Univ., Xi'an 710071, China |
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| 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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| Keywords: | GMSK Correlator Probability |
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