Localized cross-spectral analysis with phase-corrected wavelets

Robert G. Stockwell; Robert P. Lowe; L. Mansinha

doi:10.1117/12.236027

22 March 1996 Localized cross-spectral analysis with phase-corrected wavelets

Robert G. Stockwell, Robert P. Lowe, L. Mansinha

Proceedings Volume 2762, Wavelet Applications III; (1996) https://doi.org/10.1117/12.236027
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

Abstract

The local spectral information of the continuous wavelet transform with Morlet wavelets can, with slight modification, be used to perform 'local' cross spectral analysis with very good time resolution. This 'phase correction' absolutely references the phase of the wavelet transform to the zero time point, thus assuring that the amplitude peaks are regions of stationary phase. Thus phase differences between the 'local spectra' of time series from two spaced receivers can be used to infer time lags as a function of frequency. This method is used to determine apparent phase velocities of atmospheric gravity waves from hydroxyl airglow data. The instrument used, UWOSCR, is a scanning radiometer in the near infra-red, taking a 256 pixel image of the OH airglow every minute. Pixel-to-pixel time lags are used to determine the phase velocity as a function of frequency and time.

Citation Download Citation

Robert G. Stockwell, Robert P. Lowe, and L. Mansinha "Localized cross-spectral analysis with phase-corrected wavelets", Proc. SPIE 2762, Wavelet Applications III, (22 March 1996); https://doi.org/10.1117/12.236027

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