Oscillating neural circuits: Phase, amplitude, and the complex normal distribution.

ABSTRACT: Multiple oscillating time series are typically analyzed in the frequency domain, where coherence is usually said to represent the magnitude of the correlation between two signals at a particular frequency. The correlation being referenced is complex-valued and is similar to the real-valued Pearson correlation in some ways but not others. We discuss the dependence among oscillating series in the context of the multivariate complex normal distribution, which plays a role for vectors of complex random variables analogous to the usual multivariate normal distribution for vectors of real-valued random variables. We emphasize special cases that are valuable for the neural data we are interested in and provide new variations on existing results. We then introduce a complex latent variable model f

SUBMITTER: Urban KN 

PROVIDER: S-EPMC11223177 | biostudies-literature | 2023 Sep

REPOSITORIES: biostudies-literature