基于COM模型的伪正交频率编码S因子的优化

综合考虑反射栅阵列相关性和频带利用率,对设计的伪正交频率编码(POFC)系统选取合适的频率间隔因子——S因子。论述了正交频率编码(OFC)和POFC的基本原理;对POFC系统的耦合模(COM)模型进行分析,推导出相邻中心频率间的互相关函数,对不同S因子下互相关函数峰值进行提取、散点图分析和分段数值拟合。以此找到该POFC系统合理的S因子取值区间:1.49,1.83]、2.1,2.63]和3.12,3.415],从而进行建模分析及信息提取,为POFC系统的设计提供借鉴。

Analysis and Optimization of the S Factor of POFC Based on the COM Model

An optimization of the frequency spacing factor, S factor, of a pseudo orthogonal frequency coding (POFC) system has been studied with the consideration of the cross correlation of the adjacent center frequency of chips and the utilization ratio of spectrum. The fundamental principles of orthogonal frequency coding (OFC) and POFC are introduced. The COM model of POFC is analyzed and the cross-correlation of adjacent center frequencies of a POFC system is derived. The peaks of cross correlation are extracted by the computation. The relationship of S factors and peaks are found at last by the analysis of scatter diagram and fitted curve. The reasonable interval for S factor of this POFC system can be obtained from the analysis of peaks with the region of 1.49, 1.83], 2.1, 2.63] and 3.12, 3.415]. All of the studies are proved by the analysis of the extracted signals of a COM model. It will also guide the design of the POFC systems.