标题： 变星谐波和组合频率幅度的测量 显示英文标题

标题： Measuring amplitudes of harmonics and combination frequencies in variable stars

摘要： 近年来，发现具有多种脉动模式的RR Lyrae变星和造父变星急剧增加。 由于这些恒星的模式之间可以存在大量组合频率，因此它们的傅里叶光谱可能相当复杂。 因此，对这些恒星的光变曲线拟合常常会受到不良振铃效应的影响，这些效应源于噪声观测和相位覆盖不足。 当拟合单模态恒星的谐波时，也会出现这些非物理过拟合伪影。 在这里，我们提出了一种新的光变曲线拟合方法，这种方法对这些影响更具鲁棒性。 我们证明了振幅测量问题非常困难（NP难），并提供了一个快速且准确的启发式算法来解决它。 显示英文摘要

摘要： Discoveries of RR Lyrae and Cepheid variable stars with multiple modes of pulsation have increased tremendously in recent years. The Fourier spectra of these stars can be quite complicated due to the large number of combination frequencies that can exist between their modes. As a result, light-curve fits to these stars often suffer from undesirable ringing effects that arise from noisy observations and poor phase coverage. These non-physical overfitting artifacts also occur when fitting the harmonics of single-mode stars as well. Here we present a new method for fitting light curves that is much more robust against these effects. We prove that the amplitude measurement problem is very difficult (NP-hard) and provide a heuristic algorithm for solving it quickly and accurately.