论文标题
趋势过滤 - ii。具有不同程度平稳性的天文信号
Trend Filtering -- II. Denoising Astronomical Signals with Varying Degrees of Smoothness
论文作者
论文摘要
趋势过滤---首先引入了本系列纸I中的天文学文献---是一种最先进的统计工具，用于降低具有不同程度平稳性的一维信号。在这项工作中，我们通过讨论如何有助于各种光谱和时间域研究来证明趋势过滤对观察天文学的广泛实用性。我们讨论的观察结果是（1）lyman- $α$ quasar Spectra的森林； （2）类星体，星系和恒星的更多一般光谱； （3）带有行星转运的恒星光曲线； （4）黯然失色的二进制光曲线； （5）超新星光曲线。我们最大程度地研究了Lyman-$α$森林 - 使用趋势过滤来绘制沿类星体观察者的视线沿形层间培养基的大规模结构。其余的研究具有：（1）估计光曲线和光谱的可观察到的参数； （2）构建观测光谱/光曲线模板。我们还简要讨论了趋势过滤作为一维数据减少和压缩的工具的实用性。
Trend filtering---first introduced into the astronomical literature in Paper I of this series---is a state-of-the-art statistical tool for denoising one-dimensional signals that possess varying degrees of smoothness. In this work, we demonstrate the broad utility of trend filtering to observational astronomy by discussing how it can contribute to a variety of spectroscopic and time-domain studies. The observations we discuss are (1) the Lyman-$α$ forest of quasar spectra; (2) more general spectroscopy of quasars, galaxies, and stars; (3) stellar light curves with planetary transits; (4) eclipsing binary light curves; and (5) supernova light curves. We study the Lyman-$α$ forest in the greatest detail---using trend filtering to map the large-scale structure of the intergalactic medium along quasar-observer lines of sight. The remaining studies share broad themes of: (1) estimating observable parameters of light curves and spectra; and (2) constructing observational spectral/light-curve templates. We also briefly discuss the utility of trend filtering as a tool for one-dimensional data reduction and compression.
