发表机构
Montana State University（蒙大拿州立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用时频表示（Wilson-Daubechies-Meyer变换）和稀疏TDI响应，为LISA三类源（银河系双星、大质量黑洞双星、EMRI）提出快速波形模板生成算法，避免全观测波形，支持高效并行计算。
AI 中文摘要
时频方法非常适合分析激光干涉空间天线（LISA）的数据，包括非平稳噪声和数据间隙。另一个动机是双星信号的稀疏时频支持允许快速波形生成，这是本工作的重点。在许多可能的时频表示中，正交的Wilson-Daubechies-Meyer变换具有频率平移对称性，允许对啁啾信号进行带状外差变换。当与使用“TDI on the fly”的LISA时延干涉测量（TDI）响应的稀疏评估相结合时，时频表示具有小的内存占用和高并行操作。避免了全观测、全节奏的波形：模板由稀疏载波轨道和局部包计算组装而成，并在慢轨道近似失效的短直接端点段进行修正。针对三类重要源描述了一系列快速模板生成算法：银河系双星、大质量黑洞双星和极端质量比旋进（EMRIs）。相同的构造适用于所有三种信号的缓慢演化部分；主要差异出现在频率翻转、并合和 plunge 处。计算可以逐载波组织，或者可以先变换偏振波形，然后将探测器响应应用于其组合时频表示。后一种构造被称为“TDI Tapestry”。
英文摘要
Time-frequency methods are well suited to the analysis of data from the Laser Interferometer Space Antenna (LISA), including nonstationary noise and data gaps. Another motivation is that the sparse time-frequency support of binary signals allows for fast waveform generation, which is the focus of this work. Amongst the many possible time-frequency representations, the orthogonal Wilson-Daubechies-Meyer transformation has a frequency translation symmetry that allows for a banded heterodyne transformation of chirping signals. When combined with the sparse evaluation of the LISA time-delay-interferometry (TDI) response using ``TDI on the fly,'' the time-frequency representation has a small memory footprint and highly parallel operations. Full-observation, full-cadence waveforms are avoided: templates are assembled from sparse carrier tracks and local packet calculations, with short direct endpoint segments where the slow-track approximation fails. A family of fast template-generation algorithms is described for three important source classes: galactic binaries, massive black-hole binaries, and extreme mass-ratio inspirals (EMRIs). The same construction applies to the slowly evolving portions of all three signals; the principal differences arise at frequency turnovers, merger, and plunge. The calculation may be organized carrier by carrier, or the polarization waveforms may be transformed first and the detector response applied to their combined time-frequency representation. The latter construction is referred to as ``TDI Tapestry.''
Comments12 pages, 7 figures
