Efficient Wiener filtering without preconditioning
Efficient Wiener filtering without preconditioning
复制标题
无需预处理即可高效维纳滤波
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
B. Wandelt
中科院分区：
文献类型：
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作者：
F. Elsner;B. Wandelt
本文提出了一种计算一般数据集维纳滤波解的新方法。它实现起来很简单，灵活，数值绝对稳定，并且保证收敛。最重要的是，它不需要巧妙地选择预处理器就能很好地工作。该方法是能够考虑到非均匀的噪声分布和任意掩模的几何形状。它通过信使场迭代地建立信号重建，引入信使场以在不同的优选基之间进行调解，其中可以最方便地指定信号和噪声特性。使用宇宙微波背景辐射数据作为展示，我们证明了我们的计划的能力，通过计算维纳滤波WMAP7的温度和偏振图在全分辨率的第一次。我们展示了如何修改该算法来合成波动图，结合维纳滤波器的解决方案，导致无偏约束的信号实现，与观测一致。该算法即使在模拟的CMB图上也能很好地执行，模拟的CMB图具有普朗克分辨率和动态范围。
We present a new approach to calculate the Wiener filter solution of general data sets. It is trivial to implement, flexible, numerically absolutely stable, and guaranteed to converge. Most importantly, it does not require an ingenious choice of preconditioner to work well. The method is capable of taking into account inhomogeneous noise distributions and arbitrary mask geometries. It iteratively builds up the signal reconstruction by means of a messenger field, introduced to mediate between the different preferred bases in which signal and noise properties can be specified most conveniently. Using cosmic microwave background (CMB) radiation data as a showcase, we demonstrate the capabilities of our scheme by computing Wiener filtered WMAP7 temperature and polarization maps at full resolution for the first time. We show how the algorithm can be modified to synthesize fluctuation maps, which, combined with the Wiener filter solution, result in unbiased constrained signal realizations, consistent with the observations. The algorithm performs well even on simulated CMB maps with Planck resolution and dynamic range.
影响因子：
8.7
作者：
Komatsu, E.;Smith, K. M.;Wright, E. L.
通讯作者：
Wright, E. L.