论文标题
Terahertz时域光谱法中的最大样品估计
Maximum-likelihood parameter estimation in terahertz time-domain spectroscopy
论文作者
论文摘要
我们提出了Terahertz时域光谱学参数估计的最大样品方法。给定一对具有已知时间依赖性噪声幅度的时域波形，我们得出了参数化频率响应函数的似然函数。该方法提供的参数估计值优于其他常用方法，并提供了对拟合优度的可靠度量。我们还开发了一个简单的噪声模型，该模型由三个主要来源进行参数化，并根据一组重复的波形测量值来得出其振幅的可能性函数。我们演示了具有材料表征应用的方法。
We present a maximum-likelihood method for parameter estimation in terahertz time-domain spectroscopy. We derive the likelihood function for a parameterized frequency response function, given a pair of time-domain waveforms with known time-dependent noise amplitudes. The method provides parameter estimates that are superior to other commonly-used methods, and provides a reliable measure of the goodness of fit. We also develop a simple noise model that is parameterized by three dominant sources, and derive the likelihood function for their amplitudes in terms of a set of repeated waveform measurements. We demonstrate the method with applications to material characterization.
