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工程科学与技术:2018,50(4):179-185
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MP-WFRFT系统中8PSK星座裂变图案分析
(空军工程大学 信息与导航学院, 陕西 西安 710077)
Analysis on Constellation Splitting of 8PSK in MP-WFRFT-based Systems
(School of Info. and Navigation, Air Force Eng. Univ., Xi'an 710077, China)
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投稿时间:2017-08-15    修订日期:2018-04-18
中文摘要: 为进一步探究多参加权分数阶傅里叶变换(multiple parameters weighted-type fractional Fourier transform,MP-WFRFT)对高阶基带星座的影响,对MP-WFRFT变换中的8PSK基带星座裂变规律进行了定性与定量研究。通过定义星座裂变函数,并搭建相应几何模型,采用向量合成的基本方法,推导得出基于MP-WFRFT变换的8PSK星座裂变规律。进一步通过研究合成向量与星座点重合的关系,探索得出裂变星座点数与MP-WFRFT的时域项权系数模值比具有一一对应关系。搭建了基于MP-WFRFT的星座裂变系统,将星座裂变点数、模糊量作为约束条件以合理设计MP-WFRFT多个参数,相应构建了基于MP-WFRFT多参数混合整数优化模型,并采用遗传算法对模型进行优化求解。仿真测试得出的星座裂变基本样式、裂变点数、模糊发散规律与所提出基于MP-WFRFT变换的8PSK星座裂变理论相一致;此外,通过误码率对比测试,表明经过MP-WFRFT变换后系统在确保自身通信质量的前提下,可有效降低非授权方的通信性能。MP-WFRFT变换可使得原始星座表现出较好的抗能量检测、抗星座识别特性,进而提升系统的抗截获性能,能够运用于保密通信之中。
Abstract:In order to further explore the effect of multiple parameters weighted fractional Fourier transform (MP-WRFRT) on the higher order baseband modulations, the quantitative and qualitative research on 8PSK constellation splitting in WFRFT-based systems were carried out. The constellation splitting function was defined, and the corresponding geometry model was also established. Based on the vector composition method, the 8PSK constellation splitting criteria was obtained in MP-WFRFT-based systems. By analyzing the relationship between combined vector and constellation superposition, it was deduced that there was one-to-one correspondence between the magnitude ratio of different MP-WFRFT's time-domain coefficients and the number of constellation points. The constellation splitting system based on MP-WFRFT was proposed, then the number of constellation splitting points and blurring factors were used to properly decide the MP-WFRFT's parameters. The corresponding mixed integer program was also built and the Genetic Algorithm (GA) was adopted to solve the optimal program. Simulation results demonstrated that the basic splitting patterns, the number of splitting points and the blurring rule were all in accord with the basic 8PSK constellation splitting criteria in MP-WFRFT-based systems. Besides, the bit error rate (BER) performance comparisons also showed that the unauthorized receiver's performance was degraded while the authorized receiver's communication quality was maintained well in the MP-WFRFT-based systems. MP-WFRFT can make the original baseband signals achieve a good performance on the anti-energy detection and anti-constellation recognition, which can further improve the system's anti-interception ability, and can be implemented in the secure communications.
文章编号:201700660     中图分类号:TN911.3    文献标志码:
基金项目:国家自然科学基金资助项目(61571460;61271250)
作者简介:梁源(1989-),男,博士生.研究方向:变换域通信;智能信号处理.E-mail:lycrazy0925@163.com
引用文本:
梁源,达新宇,徐瑞阳,倪磊,张喆.MP-WFRFT系统中8PSK星座裂变图案分析[J].工程科学与技术,2018,50(4):179-185.
LIANG Yuan,DA Xinyu,XU Ruiyang,NI Lei,ZHANG Zhe.Analysis on Constellation Splitting of 8PSK in MP-WFRFT-based Systems[J].Advanced Engineering Sciences,2018,50(4):179-185.