关于$1/f$噪声对CMB温度图和偏振图大角度误差贡献的精确结果
An exact result concerning the $1/f$ noise contribution to the large-angle error in CMB temperature and polarization maps
摘要：
我们提出了一个精确的表达式的$1/f$的CMB温度和偏振图的扫描模式是各向同性的调查中的噪声的贡献。偏振的结果同样适用于有和没有旋转半波片的测量。一个有代表性的范围内的调查参数进行了探讨，并讨论了未来调查的设计和优化的影响。这些结果是最直接适用于空间为基础的调查，这提供了相当大的自由选择的扫描模式上的天球。我们讨论了这里开发的方法来分析过去的实验的适用性，并提出了一些有关未来实验设计的结论。这里开发的技术不要求过量低频噪声具有精确的$1/f$形状，并且容易推广到检测器噪声功率谱的其他函数形式。在弱各向异性扫描模式的情况下，本文的方法可以用来寻找一个预条件子，以便用共轭梯度法有效地求解制图方程。
英文摘要：
We present an exact expression for the $1/f$ contribution to the noise of the CMB temperature and polarization maps for a survey in which the scan pattern is isotropic. The result for polarization applies likewise to surveys with and without a rotating half-wave plate. A representative range of survey parameters is explored and implications for the design and optimization of future surveys are discussed. These results are most directly applicable to space-based surveys, which afford considerable freedom in the choice of the scan pattern on the celestial sphere. We discuss the applicability of the methods developed here to analyzing past experiments and present some conclusions pertinent to the design of future experiments. The techniques developed here do not require that the excess low frequency noise have exactly the $1/f$ shape and readily generalize to other functional forms for the detector noise power spectrum. In the case of weakly anisotropic scanning patterns the techniques in this paper can be used to find a preconditioner for solving the map making equation efficiently using the conjugate gradient method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
