Applying the Hilbert-Huang decomposition to horizontal light propagation C<sub>n</sub><sup>2</sup> data

Mark P. J. L. Chang; Erick A. Roura; Carlos O. Font; Charmaine Gilbreath; Eun Oh

doi:10.1117/12.672280

12 July 2006 Applying the Hilbert-Huang decomposition to horizontal light propagation C_n² data

Mark P. J. L. Chang, Erick A. Roura, Carlos O. Font, Charmaine Gilbreath, Eun Oh

Proceedings Volume 6268, Advances in Stellar Interferometry; 62683E (2006) https://doi.org/10.1117/12.672280
Event: SPIE Astronomical Telescopes + Instrumentation, 2006, Orlando, Florida , United States

Abstract

The Hilbert Huang Transform is a new technique for the analysis of non-stationary signals. It comprises two distinct parts: Empirical Mode Decomposition (EMD) and the Hilbert Transform of each of the modes found from the first step to produce a Hilbert Spectrum. The EMD is an adaptive decomposition of the data, which results in the extraction of Intrinsic Mode Functions (IMFs). We discuss the application of the EMD to the calibration of two optical scintillometers that have been used to measure C_n² over horizontal paths on a building rooftop, and discuss the advantage of using the Marginal Hilbert Spectrum over the traditional Fourier Power Spectrum.

Citation Download Citation

Mark P. J. L. Chang, Erick A. Roura, Carlos O. Font, Charmaine Gilbreath, and Eun Oh "Applying the Hilbert-Huang decomposition to horizontal light propagation C_n² data", Proc. SPIE 6268, Advances in Stellar Interferometry, 62683E (12 July 2006); https://doi.org/10.1117/12.672280

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