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A Modified Magnitude System that Produces Well-Behaved Magnitudes, Colors, and Errors Even for Low Signal-to-Noise Ratio Measurements

机译：改进的幅度系统，产生良好的幅度，即使对于低信噪比测量，颜色和错误也是如此

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摘要

We describe a modification of the usual definition of astronomicalmagnitudes, replacing the usual logarithm with an inverse hyperbolic sinefunction; we call these modified magnitudes `asinh magnitudes'. For objectsdetected at signal-to-noise ratios of greater than about five, our modifieddefinition is essentially identical to the traditional one; for fainter objects(including those with a formally negative flux) our definition is well behaved,tending to a definite value with finite errors as the flux goes to zero. This new definition is especially useful when considering the colors of faintobjects, as the difference of two `asinh' magnitudes measures the usual fluxratio for bright objects, while avoiding the problems caused by dividing twovery uncertain values for faint objects. The Sloan Digital Sky Survey (SDSS) data products will use this scheme toexpress all magnitudes in their catalogs.

机译：我们描述了对天文学幅值的通常定义的修改，用反双曲正弦函数代替了对数；我们将这些修改过的量级称为“ asinh量级”。对于以大于约5的信噪比检测到的物体，我们的修改后的定义与传统的相同。对于较弱的对象（包括形式为负通量的对象），我们的定义表现良好，当通量变为零时，趋向于具有有限误差的确定值。当考虑微弱物体的颜色时，此新定义特别有用，因为两个“ asinh”幅值的差可衡量明亮物体的通常通量，同时避免了因将微弱物体划分成两个非常不确定的值而引起的问题。 Sloan数字天空调查（SDSS）数据产品将使用此方案来表达其目录中的所有大小。

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Lupton, Robert; Gunn, Jim; Szalay, Alex;
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年度 1999
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正文语种 {"code":"en","name":"English","id":9}
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1. A Modified Magnitude System that Produces Well-Behaved Magnitudes, Colors, and Errors Even for Low Signal-to-Noise Ratio Measurements [J] . Robert H. Lupton12, James E. Gunn2, Alexander S. Szalay3 The Astrophysical journal . 2007,第3期

机译：改进的幅度系统，即使对于低信噪比测量，也能产生良好的幅度，颜色和误差
2. A Modified Magnitude System that Produces Well-Behaved Magnitudes, Colors, and Errors Even for Low Signal-to-Noise Ratio Measurements [J] . Robert H. Lupton12, James E. Gunn2, Alexander S. Szalay3 The Astrophysical journal . 2007,第3期

机译：改进的幅度系统，即使对于低信噪比测量，也能产生良好的幅度，颜色和误差
3. Investigation of the Formation Mechanism and the Magnitude of Systematic Error of Thermocouple Measurements in High-Temperature Heat Shield Aerospace Materials [J] . O. M. Alifanov, V. V. Cherepanov, A. V. Morzhukhina Journal of engineering physics and thermophysics . 2018,第3期

机译：高温保温航空航天材料中热电偶测量系统误差的形成机制及其研究
4. Signal-to-noise measurements in magnitude images from NMR phased arrays [C] . Constantinides, C.D., Atalar, Engineering in Medicine and Biology Society, 1997. Proceedings of the 19th Annual International Conference of the IEEE . 1997

机译：NMR相控阵在幅值图像中的信噪比测量
5. Understanding and resolving the systematic differences observed for teleseismic body-wave magnitude measurements. [D] . Granville, John Philip. 2004

机译：了解并解决远震体波幅度测量中观察到的系统差异。
6. Signal-to-Noise Measurements in Magnitude Images from NMR Phased Arrays [O] . Chris D. Constantinides, Ergin Atalar, Elliot R. McVeigh -1

机译：NMR相控阵幅值图像中的信噪比测量
7. A Modified Magnitude System that Produces Well-Behaved Magnitudes, Colors, and Errors Even for Low Signal-to-Noise Ratio Measurements [O] . Robert H. Lupton, James E. Gunn, Er S. Szalay 1999

机译：改进的幅度系统，即使对于低信噪比测量，也能产生良好的幅度，颜色和误差
8. Magnitude and Character of Errors Produced by Shape Factors in Stokes' Law Estimates of Particle Radius. [R] . Kunkel, W. B. 1948

机译：由斯托克斯定律外形因素产生的错误的大小和性质估计粒子半径的。

A Modified Magnitude System that Produces Well-Behaved Magnitudes, Colors, and Errors Even for Low Signal-to-Noise Ratio Measurements

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