Unified asymptotic theory for all partial directed coherence forms

Abstract

This paper presents a unifiedmathematical derivation of the asymptotic behaviour of the three main forms of partial directed coherence (PDC). Numerical examples are used to contrast PDC, gPDC (generalized PDC) and iPDC (information PDC) as to meaning and applicability and,more importantly, to show their essential statistical equivalence insofar as connectivity inference is concerned.