ON TIME DELAY ESTIMATION AND ITS APPLICATION TO THE STUDY OF COMMUNICATION BETWEEN DIFFERENT CEREBRAL AREAS

Abstract

Five methods for time delay estimation are discussed: the Basic Cross Correlation method, the Generalized Cross Correlation method, the Average Amount of Mutual Information, the Maximum Entropy of the Difference of 2 time series and the Directed Transinformation. In case of a priori knowledge, expressions for the maximum likelihood time delay estimators are derived. The application of these different methods in physiological applications will be discussed. Simulations are provided to illustrate some of the characteristics of the proposed methods.