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From: | Mark Lytle |
Subject: | Lomb-Scargle variant |
Date: | Thu, 24 May 2012 06:06:27 -0700 (PDT) |
I have been following Ben_Zen's blog and thought I'd point him to this variant of LB-SCGL: Hi Ben, Thought I'd pass this along, a variant of Lomb-Scargle, by M.Zechmeister at the Max-Planck Institute. The downloadable .pdf can be found here: http://arxiv.org/abs/0901.2573 it's also sprinkled around the web if you search on his name, On another site that I have lost track of, but have partially printed off, he offers to give away the source code. His email is listed as address@hidden, assuming it hasn't changed...He seems very willing to help with implementations of it... He makes these claims for it: "The Lomb-Scargle periodogram is a common tool in the frequency analysis of unequally spaced data equivalent to least-squares fitting of sine waves. We give an analytic solution for the generalisation to a full sine wave fit, including an offset and weights ($\chi^{2}$ fitting). Compared to the Lomb-Scargle periodogram, the generalisation is superior as it provides more accurate frequencies, is less susceptible to aliasing, and gives a much better determination of the spectral intensity. Only a few modifications are required for the computation and the computational effort is similar. Our approach brings together several related methods that can be found in the literature, viz. the date-compensated discrete Fourier transform, the floating-mean periodogram, and the "spectral significance" estimator used in the SigSpec program, for which we point out some equivalences." Hope that's helpful, Regards, Mark Lytle Houston |
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