.. _book_fig_chapter10_fig_FFT_sampling:


The effect of Sampling
----------------------
Figure 10.4

An illustration of the impact of a sampling window function of resulting PSD.
The top-left panel shows a simulated data set with 40 points drawn from the
function y(t|P) = sin(t) (i.e., f = 1/(2pi) ~ 0.16). The sampling is random,
and illustrated by the vertical lines in the bottom-left panel. The PSD of
sampling times, or spectral window, is shown in the bottom-right panel. The
PSD computed for the data set from the top-left panel is shown in the top-right
panel; it is equal to a convolution of the single peak (shaded in gray) with
the window PSD shown in the bottom-right panel (e.g., the peak at f ~ 0.42 in
the top-right panel can be traced to a peak at f ~ 0.26 in the bottom-right
panel).



.. image:: ../images/chapter10/fig_FFT_sampling_1.png
    :scale: 100
    :align: center


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