On the Presentation and Interpretation of Spectra of Large-Scale Disturbances

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  • 1 Department of Meteorology, University of California, Los Angeles 90024
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Abstract

Several area-conserving transformations of the power spectrum and their presentation and interpretation are discussed. The presentation of the power density multiplied by frequency on a natural logarithm of frequency scale is shown to be the most appropriate for the purpose of defining dominant scales. This presentation is also shown to have a clear interpretation for spectra of localized disturbances.

A null hypothesis of “no dominant scale” is proposed for the determination of dominant scales and their statistical significance.

Abstract

Several area-conserving transformations of the power spectrum and their presentation and interpretation are discussed. The presentation of the power density multiplied by frequency on a natural logarithm of frequency scale is shown to be the most appropriate for the purpose of defining dominant scales. This presentation is also shown to have a clear interpretation for spectra of localized disturbances.

A null hypothesis of “no dominant scale” is proposed for the determination of dominant scales and their statistical significance.

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