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A collapse of the cross-spectral function in phase noise metrology
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 under-reporting of the desired signal. Theoretical, simulated and experimental demonstrations of this effect as well as mitigating methods are presented.
Nelson, C.
, Hati, A.
and Howe, D.
(2014),
A collapse of the cross-spectral function in phase noise metrology, Review of Scientific Instruments
(Accessed October 9, 2025)