.. _book_fig_chapter10_fig_LS_example:


Example of Lomb-Scargle Algorithm
---------------------------------
Figure 10.15

Example of a Lomb-Scargle periodogram. The data include 30 points drawn from
the function y(t|P) = 10 + sin(2pi t/P) with P = 0.3. Heteroscedastic Gaussian
noise is added to the observations, with a width drawn from a uniform
distribution with 0.5 < sigma < 1.0. Data are shown in the top panel and the
resulting Lomb-Scargle periodogram is shown in the bottom panel. The arrow
marks the location of the true period. The dotted lines show the 1% and 5%
significance levels for the highest peak, determined by 1000 bootstrap 
resamplings (see Section 10.3.2). The change in BIC compared to a nonvarying
source (eq. 10.55) is shown on the right y-axis. The maximum power corresponds
to a delta-BIC = 26.1,indicating the presence of a periodic signal.
Bootstrapping indicates the period is detected at ~ 5% significance.



.. image:: ../images/chapter10/fig_LS_example_1.png
    :scale: 100
    :align: center


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