Mathematical Biology Seminar
Measures of cross-frequency coupling, which reveal nonlinear and non-Gaussian dynamics within time series, are increasingly common in applications to neurophysiology. Nevertheless, the existence and usefulness of longstanding techniques related to higher-order spectra (HOS) is still not widely appreciated among researchers. This situation may be attributed in part to the reputedly obscure interpretation of HOS. In this talk, I will first give a brief overview of HOS; second, suggest some new strategies for interpreting them; and third, describe a novel decomposition which promises a general-purpose tool for pattern identification and separation in time series. The application of this new technique is demonstrated through the blind recovery of auditory evoked responses in human intracranial recordings.
- C. K. Kovach, H. Oya, and H. Kawasaki, “The bispectrum and its relationship to phase-amplitude coupling,” NeuroImage, vol. 173, pp. 518 – 539, 2018.
- C.K. Kovach and M.A. Howard, “Decomposition of higher-order spectra for blind multiple-input deconvolution, pattern identification and separation,” Signal Processing, vol. 165, pp. 357 – 379, 2019.