An Application of the Hilbert-Huang Transform to the LISA Mock Data Challenge

Details An Application of the Hilbert-Huang Transform to the LISA Mock Data Challenge An Application of the Hilbert-Huang Transform to the LISA Mock Data Challenge

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aas...209.7417c&link_type=abstract

2007 AAS/AAPT Joint Meeting, American Astronomical Society Meeting 209, #74.17; Bulletin of the American Astronomical Society, V

Astronomy and Astrophysics

Astronomy

Scientific paper

We analyze time series generated for the LISA Mock Data Challenge utilizing the Hilbert-Huang Transform (HHT), an adaptive, two-step procedure in which a time series is first decomposed into orthonormal basis sets (intrinsic mode functions, IMFs) via ``sifting'' on the extrema in the data, and second each IMF is Hilbert-transformed so that a time series of instantaneous frequency f(t) is generated. By convolving f(t) with the instantaneous power versus time, one can select on time intervals of high signal strength, and thereby derive a much more finely graduated and high fidelity f(t) than is possbile through standard FFT techniques, even for cases where the signal consists of just a few oscillations. The difference in techniques is particularly noticeable for the case of BH-BH mergers with spin-orbit coupling included.

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