Bayesian PSD estimation for LISA noise based on P-splines with a parametric boost

This repository provides datasets to evaluate Bayesian power spectral density (PSD) estimation for LISA X-channel noise using P-splines with a parametric component. The contents are: X channel noise-4a (LISA SGWB Dataset (noise-4a)) LISA dataset periodograms and results (durations: 3, 6 months, and 1 year): ddpc_f_3mon.txt, ddpc_f_6mon.txt, ddpc_f_1year.txt: Fourier frequencies ddpc_x2_per_3mon.txt, ddpc_x2_per_6mon.txt, ddpc_x2_per_1year.txt: Blocked periodogram. mcmc_results_1year.h5, mcmc_results_1year.h5, mcmc_results_1year.h5: MCMC outputs and posterior summaries. AR(4) simulations and results. Each archive contains 500 instances of periodograms, parametric model PSDs, MCMC results of Model 1 (when the parametric model is white noise), and Model 2 (when the parametric model is AR(4)). arsim_128.7z arsim_256.7z arsim_512.7z Integrate Absolute error files: iae_ar0.txt, iae_ar4_knots.txt: IAE of 1500 AR(4) simulations using Model 1 and 2. iae_ar0_knots.txt, iae_ar4_knots.txt: IAE of 150 AR(4) simulations using Model 1 and 2 for various knots allocations. One instance of AR(4) simulation study: N=512 freq.txt: Frequency information ar4spec.txt: True AR(4) spectrum mcmc_results_289.h5: Model 1 results mcmc_results_498.h5: Model 2 results本仓库提供用于评估结合参数分量的P样条法（P-splines）对LISA X通道噪声进行贝叶斯功率谱密度（Power Spectral Density, PSD）估计的数据集。 数据集内容如下： 一、X通道噪声-4a（LISA随机引力波背景数据集（noise-4a）） 包含LISA数据集的周期图与对应结果，时长覆盖3个月、6个月及1年： 1. ddpc_f_3mon.txt、ddpc_f_6mon.txt、ddpc_f_1year.txt：傅里叶频率 2. ddpc_x2_per_3mon.txt、ddpc_x2_per_6mon.txt、ddpc_x2_per_1year.txt：分块周期图（Blocked periodogram） 3. mcmc_results_1year.h5、mcmc_results_1year.h5、mcmc_results_1year.h5：马尔可夫链蒙特卡洛（Markov Chain Monte Carlo, MCMC）输出与后验汇总结果 二、AR(4)模拟实验与结果 每个归档文件均包含500组周期图、参数模型功率谱密度，以及参数模型为白噪声时的模型1、参数模型为AR(4)时的模型2的MCMC结果。 对应归档文件包括：arsim_128.7z、arsim_256.7z、arsim_512.7z 三、积分绝对误差（Integrate Absolute Error, IAE）文件 1. iae_ar0.txt、iae_ar4_knots.txt：使用模型1与模型2得到的1500组AR(4)模拟实验的IAE结果 2. iae_ar0_knots.txt、iae_ar4_knots.txt：针对不同结点分配方案，使用模型1与模型2得到的150组AR(4)模拟实验的IAE结果 四、单组AR(4)模拟研究示例（样本量N=512） 1. freq.txt：频率信息 2. ar4spec.txt：真实AR(4)功率谱 3. mcmc_results_289.h5：模型1结果 4. mcmc_results_498.h5：模型2结果