时变非线性系统的瞬时特性描述

Instantaneous characterization of time-varying nonlinear systems.

作者信息

Krieger D, Berger T W, Sclabassi R J

机构信息

Department of Neurological Surgery, University of Pittsburgh, PA 15213.

出版信息

IEEE Trans Biomed Eng. 1992 Apr;39(4):420-4. doi: 10.1109/10.126615.

DOI:10.1109/10.126615

PMID:1592408

Abstract

A nonlinear system may be characterized by an orthogonal functional power series (FPS) computed from cross correlations between input and output variables. "Is the response changing over the course of the experiment?" is a fundamental question encountered in the analysis of both FPS and evoked potentials (EP's). Regression on closed-form functions of time produces a time-varying FPS or EP. Evaluation of these functions at a specified time point produces a system characterization for that instant.

摘要

非线性系统可以通过根据输入和输出变量之间的互相关计算得出的正交函数幂级数（FPS）来表征。“响应在实验过程中是否发生变化？”是在分析FPS和诱发电位（EP）时都会遇到的一个基本问题。对时间的闭式函数进行回归会产生随时间变化的FPS或EP。在指定时间点对这些函数进行评估会得出该时刻的系统特征。