活动星系核功率谱测量和时间序列重建的新方法
A New Approach for Measuring Power Spectra and Reconstructing Time Series in Active Galactic Nuclei
摘要：
基于活动星系核（AGN）随机变化的傅里叶变换是一系列复高斯随机变量的事实，提出了一种测量AGN功率谱和重构时间序列的新方法.该方法在频域中对随机序列进行参数化，然后将其转换回时域以拟合观测数据。参数和它们的不确定性是在贝叶斯框架中导出的，这也使我们能够比较不同功率谱密度模型的相对优点。快速傅立叶变换算法的发展与并行计算，使一个可接受的时间复杂度的方法。
英文摘要：
We provide a new approach to measure power spectra and reconstruct time series in active galactic nuclei (AGNs) based on the fact that the Fourier transform of AGN stochastic variations is a series of complex Gaussian random variables. The approach parameterizes a stochastic series in frequency domain and transforms it back to time domain to fit the observed data. The parameters and their uncertainties are derived in a Bayesian framework, which also allows us to compare the relative merits of different power spectral density models. The well-developed fast Fourier transform algorithm together with parallel computation enable an acceptable time complexity for the approach.
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