Ψ_B-energy operator and cross-power spectral density

摘要

In this paper we consider the hermitian extension of the cross-Ψ_B-energy operator that we will denote by Ψ_H- In addition, cross energy terms are formalized through multivariate signals representation. We investigate the connection between the interaction energy function of Ψ_H and the cross-power spectral density (CPSD) of two complex valued signals. In particular, this link permits to use this operator for estimating the CPSD. We illustrate the interest of Ψ_H as a similarity between a pair of signals in frequency domain on synthetic and real data.