利用Hough变换在频率和自旋下降平面探测周期性引力波源
Detection of periodic gravitational wave sources by Hough transform in the frequency and spin down plane
摘要：
在分层搜索周期性引力波源的过程中，在非相干步骤中，候选源的选择可以用Hough变换过程来完成。本文分析了由于参数空间离散化而引起的灵敏度损失与计算成本的关系，比较了sky Hough方法和一种新的频率Hough方法的性质，该方法是基于从时间观测频率平面到源频率-自旋下降平面的变换。模拟峰值图的结果表明，有利于使用的频率霍夫的各种优势。真正起作用的是：1）在不影响计算成本的情况下提高频率分辨率的可能性。这减少了数字化的影响; 2）由于在天空图的某些地方的局部干扰，候选人过多。它们不会影响新的分析，因为每个地图只针对天空中的一个位置构建。吃豆人编号：04.80Nn，07.05Kf，97.60Jd 1.
英文摘要：
In the hierarchical search for periodic sources of gravitational waves, the candidate selection, in the incoherent step, can be performed with Hough transform procedures. In this paper we analyze the problem of sensitivity loss due to discretization of the parameters space vs computing cost, comparing the properties of the sky Hough procedure with those of a new frequency Hough, which is based on a transformation from the time - observed frequency plane to the source frequency - spin down plane. Results on simulated peak maps suggest various advantages in favor of the use of the frequency Hough. The ones which show up to really make the difference are 1) the possibility to enhance the frequency resolution without relevantly affecting the computing cost. This reduces the digitization effects; 2) the excess of candidates due to local disturbances in some places of the sky map. They do not affect the new analysis because each map is constructed for only one position in the sky. Pacs. numbers: 04.80Nn,07.05Kf,97.60Jd 1.
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