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We provide the 95% highest posterior density intervals (95% HPD, that is, the shortest intervals that include 95% of the posterior sampled values) as well as the mean of the sampled values.
And the red arrows denote the sampled wave form, or the train of impulses, whose amplitudes are the sampled values of the original continuous time signal.
Simply an impulse train, whose areas are the sampled values.
And those sampled values are stored or whatever.
Well essentially, this low pass filtering operation provides for us an interpolation in between the sampled values.
Another kind of very common interpolation is what's referred to as linear interpolation, where we simply fit a straight line between the sampled values.
Now, I'm sure that many of you are familiar with other kinds of interpolation that we could potentially provide in between sampled values.
In other words, the output of a low pass filter, in fact, is a continuous curve, which fits between the sampled values some continuous function.
Specifically, the measured sampled values are (1.1).
The sampled values are the coefficients for the bases.
Solid circles are points at which we sampled values of coda Q shown in Figure 3.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com