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Phase inversion and collapse of the cross-spectral function
Published
Author(s)
Craig W. Nelson, Archita Hati, David A. Howe
Abstract
Cross-spectral analysis is a mathematical tool for extracting the power spectral density of a correlated signal from two time series in the presence of uncorrelated interfering signals. We demonstrate and explain a set of conditions where the detection of the desired signal using cross-spectral fails partially or entirely in the presence of a second uncorrelated signal. Not understanding when and how this effect occurs can lead to dramatic underreporting of the desired signal. Theoretical and simulated demonstrations of this effect are presented