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Information on this time scale is important for modelling of nanoparticle dispersion but is unknown because the sampling frequencies of available instruments are unable to capture these rapid processes.
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Because the sampling frequency for ablations of 87Sr/86Sr ratios was lower than that of Sr/Ba ratios, the unreduced Sr/Ba ratio profiles had a higher density of data points across the profile length.
Because of the limited value of the sampling frequency (Pulse Repetition Frequency), meteorological Doppler radars provide the radial velocity of hydrometeors within a given interval bounded by the so-called Nyquist velocity.
The consequence is that this cutoff frequency, in fact, is 1/10 of not 2 pi now because of the normalization it's 1/10 of the sampling frequency.
And we know that the effective filter cutoff frequency is tied to the sampling frequency and, for this particular filter, corresponds to a 10th of the sampling frequency.
And then, in converting to a discreet-time sequence, there is the associated frequency normalization, so that the sampling frequency gets normalized to a frequency of 2 pi.
Based on the figure, all methods except method 3 generally depict downward trend by increasing the sampling frequency because the estimation accuracy increases by high sampling rate.
Since the year 2000 the sampling frequency has increased because of the use of electronic sensors.
The interpolation in between the samples is identical because of the fact that the input frequency is still less than half the sampling frequency.
And we are going to be changing the sampling frequency and, so keep in mind that, as we look at this, as the input frequency sweeps past half the sampling frequency whatever sampling frequency we happen to be looking at then, because of the fact that there's no anti-aliasing filter we'll get aliasing.
In particular, the sampling frequency gets mapped to 2 pi.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com