Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

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.
Citation
Review of Scientific Instruments
Volume
85

Keywords

amplitude noise, cross-correlation, cross-spectrum, phase noise

Citation

Nelson, C. , Hati, A. and Howe, D. (2014), A collapse of the cross-spectral function in phase noise metrology, Review of Scientific Instruments (Accessed May 20, 2022)
Created February 25, 2014, Updated February 19, 2017