White-noise analysis in neurophysiology.
White-noise analysis in neurophysiology.
复制标题
DOI：
10.1152/physrev.1992.72.2.491
复制
发表时间：
1992-04
影响因子：
33.6
通讯作者：
H. Sakai
中科院分区：
文献类型：
--
作者：
H. Sakai
生理学是研究输入-输出关系的学科。应用于神经生理学的白噪声分析是一种特殊情况，其中输入是高斯白色噪声，并且输入-输出关系由一系列维纳核描述。虽然这种分析以诺伯特·维纳（Nobert Wiener）的名字而闻名（68），但功能识别的思想可以追溯到弗雷歇（Frechet）（11）和沃尔泰拉（Volterra）（64）。维纳的贡献是联合收割机的想法功能识别与刺激的高斯白噪声信号，许多随机过程之一（68）。高斯白色噪声是一个正式的衍生物的基本混沌或布朗运动发现的植物学家罗伯特布朗在1827年。维纳（67）为“混沌”提供了数学基础，并提出使用高斯白噪声信号来测试系统，因为它具有I）平坦的频谱。z）每个时刻的独立值，以及3）明显的高斯或正态分布。白噪声信号是具有最大熵的一组独立同分布随机变量的连续模拟。因此，白噪声分析具有根深蒂固的数学背景，理论中的一些概念目前仍然是数学研究的主题。白噪声分析在生理学中的首次应用是由桑德伯格和斯塔克（56）在人类瞳孔反射的研究中进行的。在20世纪70年代早期，Marmarelis和纳卡（28）开始通过开发白噪声技术来分析脊椎动物视网膜的神经元网络。从那时起，白噪声分析越来越多地用于各种生理系统和问题的研究。在第一部分中，重新-
Physiology is the study of input-output relationships. White-noise analysis applied to neurophysiology is a specific case in which the input is Gaussian white noise and the input-output relationship is described by a series of Wiener kernels. Although the analysis is known by the name of Nobert Wiener (68), the idea of functional identification dates back to Frechet (11) and Volterra (64). Wiener’s contribution was to combine the idea of functional identification with stimulation by a Gaussian white-noise signal, one of many stochastic processes (68).Gaussian white noise is a formal derivative of fundamental chaos or Brownian motion discovered by botanist Robert Brown in 1827. It was Wiener (67) who gave a mathematical foundation to the “chaos” and proposed the use of a Gaussian white-noise signal to test a system because it had I) a flat spectrum,. z) independent values at each moment, and obviously 3) a Gaussian or normal distribution. A white-noise signal is a continuous analogue of a set of independent and identically distributed random variables with maximum entropy. White-noise analysis, therefore, has a deeply rooted mathematical background, and some notions in the theory are still currently the subjects of mathematical studies (17). The first application of white-noise analysis in physiology was made by Sandberg and Stark (56) in a study of human pupillary reflexes. In the early 197Os, Marmarelis and Naka (28) began analyzing neuron networks of the vertebrate retina by developing the whitenoise technique. Since then, white-noise analysis has been used increasingly in studies of various physiological systems and problems. In the first part of this re-