基于正交原理建立了TDOA整周期数关系式,提出了基于上述整周期数关系式的TDOA周期模糊求解算法,并分别分析了Doppler、Parallax及Sun-Shapiro项对整周期数关系式残差的影响,给出了整周期数向量搜索门限的设置方法。TDOA整周期数关系式以脉冲星自身属性作为因子,以每次测量的TDOA值作为常数项。理论分析与仿真实验结果表明,基于整周期数关系式的TDOA周期模糊求解算法可以有效降低系统运算量,且可将TDOA整周期数关系式中的参数项固化入运算系统硬件或存储于处理器的存储单元中,便于工程实现。
A new relation formula of full-period number is presented, based on which a new algorithm of TDOA period ambiguity solution is proposed. Then the influences of Doppler effect, Parallax effect or Sun-Shapiro delay effect on the residuals of full-period number relation formula are analyzed. At last, the setting method for searching threshold of full-period number vector is presented. The factors in the full-period number relation formula are decided by the characteristics of X-ray pulsars and its constant is decided by the TDOA value. Theoretical analysis and simulation experiment show that the new method can reduce the complexity of computation obviously, meanwhile the constants in the new relation formula of ambiguity solution can be solidified into hardware or stored into memory unit, so that the new ambiguity solution algorithm is easy to implement in engineering.