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BSA Flow Software Installation and User's Guide - CSI

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Figure 6-51 Properties of the spectrum object<br />

Spectral samples The property Spectral samples determines the number of discrete<br />

frequencies at which the power spectral density should be estimated.<br />

The FFT-technique used require this number to be an integer power of 2, <strong>and</strong><br />

consequently the user has to choose among a limited number of possible<br />

values: 32, 64, 128, ... , 65536. If a different value is entered, the nearest<br />

higher power of two will automatically be selected.<br />

Maximum frequency The property Maximum frequency determines the highest frequency at<br />

which the power spectral density should be estimated. In the example in<br />

Figure 6-51 4096 spectral samples are calculated with a maximum frequency<br />

of 40960 Hz. This yields spectral samples at 10 Hz, 20 Hz, 30 Hz, ... ,<br />

40960 Hz.<br />

Note: Please be aware that energy contained at frequencies above the selected<br />

maximum may distort results due to aliasing. To avoid this make sure to<br />

select a maximum frequency high enough that no significant energy is<br />

contained at higher frequencies.<br />

On the other h<strong>and</strong> a maximum frequency significantly above the mean<br />

datarate of the raw samples will not yield reliable results either.<br />

Particle rate filter In fact the r<strong>and</strong>om seeding particle arrivals combined with the sample-<strong>and</strong>hold<br />

technique used act as a first order low-pass filter with cut-off frequency<br />

at &n 2π , where is the mean datarate (See Figure 6-52). This so-called<br />

particle rate filter will attenuate the high-frequency components of the signal<br />

(i.e. the measured velocity) with f -1 above the cut-off frequency, <strong>and</strong><br />

consequently the power spectrum estimate will be attenuated with f -2 &n<br />

.<br />

<strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>:Options <strong>and</strong> Add-ons 6-53

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