Baccala Luiz A, Takahashi Daniel Y, Sameshima Koichi
IEEE Trans Biomed Eng. 2016 Dec;63(12):2450-2460. doi: 10.1109/TBME.2016.2550199. Epub 2016 Apr 4.
To present a unified mathematical derivation of the frequency-dependent asymptotic behavior of the three main forms of directed transfer function (DTF).
A synthesis of the results (proved in an extended Appendix) is followed by a series of Monte Carlo simulations of representative examples.
DTF estimators are asymptotically normal when the true values are different from zero. Under the null hypothesis H: DTF=0, the estimator is distributed as a linear combination of independent χ variables.
Null DTF rejection is shown to be achievable with identical performance irrespective of which DTF form is adopted.
Together with recent allied partial directed coherence results, this paper rounds up connectivity inference tools for a class of frequency-domain connectivity estimators.
给出有向传递函数（DTF）三种主要形式的频率相关渐近行为的统一数学推导。
在综合结果（在扩展附录中证明）之后，对代表性示例进行一系列蒙特卡洛模拟。
当真实值不为零时，DTF估计量渐近正态。在原假设H：DTF = 0下，估计量作为独立χ变量的线性组合分布。
结果表明，无论采用哪种DTF形式，零DTF拒绝都能以相同性能实现。
结合近期相关的部分定向相干结果，本文完善了一类频域连通性估计器的连通性推断工具。
