论文标题
具有太空传播引力波观测站的参数估计的准确性
Accuracy of estimation of parameters with space-borne gravitational wave observatory
论文作者
论文摘要
采用Fisher信息矩阵分析，我们估计天气和丽莎的参数误差，用于单色引力波。使用长波长近似，我们得出参数估计误差的分析公式。我们由于检测器平面的变化和多普勒调制而分别分析振幅调制的影响，这是由于探测器中心在太阳周围的转化而引起的。我们透露，在低频制度下，角度分辨率和丽莎和天气之间来源参数的估计错误存在不同的模式，tianqin的角度分辨率以$ s_n（f）/f^2 $的形式下降，但是$ s_n（f）$} $} $} $} $ ns $ s $ sq。对于tianqin，但$ \ sqrt {s_n（f）} $ for Lisa。在中等频率方案中，我们观察到相同的模式，其中角分辨率掉落为$ s_n（f）/f^2 $，而其他参数的估计误差则以$ \ sqrt {s_n（f）} $而下降。在高频制度中，长波长近似失败，我们从数值计算Lisa和Tianqin的参数估计误差，发现由Tianqin测得的参数估计误差小于LISA的参数估计误差。
Employing the Fisher information matrix analysis, we estimate parameter errors of TianQin and LISA for monochromatic gravitational waves. With the long-wavelength approximation we derive analytical formulas for the parameter estimation errors. We separately analyze the effects of the amplitude modulation due to the changing orientation of the detector plane and the Doppler modulation due to the translational motion of the center of the detector around the Sun. We disclose that in the low frequency regime there exist different patterns in angular resolutions and estimation errors of sources' parameters between LISA and TianQin, the angular resolution falls off as $S_n(f)/f^2$ for TianQin but $S_n(f)$ for LISA, and the estimation errors of the other parameters fall off as $\sqrt{S_n(f)}/f$ for TianQin but $\sqrt{S_n(f)}$ for LISA. In the medium frequency regime we observe the same pattern where the angular resolution falls off as $S_n(f)/f^2$ and the estimation errors of the other parameters fall off as $\sqrt{S_n(f)}$ for both TianQin and LISA. In the high frequency regime, the long-wavelength approximation fails, we numerically calculate the parameter estimation errors for LISA and TianQin and find that the parameter estimation errors measured by TianQin are smaller than those by LISA.
