Biological Cybernetics

, Volume 84, Issue 6, pp 463–474

Partial directed coherence: a new concept in neural structure determination


  • Luiz A. Baccalá
    •  Telecommunications and Control Engineering, Escola Politécnica, University of São Paulo, Av. Prof. Luciano Gualberto, Trav. 3, 158, CEP 05508-900, Brazil
  • Koichi Sameshima
    •  Discipline of Medical Informatics & Functional Neurosurgery Laboratory, School of Medicine, University of São Paulo, Brazil

DOI: 10.1007/PL00007990

Cite this article as:
Baccalá, L. & Sameshima, K. Biol Cybern (2001) 84: 463. doi:10.1007/PL00007990


 This paper introduces a new frequency-domain approach to describe the relationships (direction of information flow) between multivariate time series based on the decomposition of multivariate partial coherences computed from multivariate autoregressive models. We discuss its application and compare its performance to other approaches to the problem of determining neural structure relations from the simultaneous measurement of neural electrophysiological signals. The new concept is shown to reflect a frequency-domain representation of the concept of Granger causality.

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© Springer-Verlag Berlin Heidelberg 2001