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BSA Flow Software Installation and User's Guide - CSI

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1,2<br />

1,0<br />

0,8<br />

0,6<br />

0,4<br />

0,2<br />

Weight factor w<br />

Box<br />

Hanning<br />

Papoulis<br />

0,0<br />

τ / T<br />

0,0 0,2 0,4 0,6 0,8 1,0 1,2<br />

Figure 6-53 Weighting factors used for filtering<br />

Filter width The property Filter width determines when the lag-window reaches zero <strong>and</strong><br />

should be set to a value between 0 <strong>and</strong> 1. The value relates to the maximum<br />

lag-time of the correlation estimate calculated by Fourier-transformation of<br />

the spectrum: Filter width = 1.0 means that the lag-window reaches zero at<br />

the maximum lag-time, Filter width = 0.5 means that it reaches zero at half<br />

the maximum lag, <strong>and</strong> so on. Filter width = 0.0 is not allowed, since this<br />

would produce correlation <strong>and</strong> spectrum estimates equal zero for all lags <strong>and</strong><br />

frequencies.<br />

In general large filter widths will smooth the spectrum less than small<br />

widths, <strong>and</strong> the Box filter with Filter width = 1.0 actually correspond to no<br />

filter at all. Depending on the quality of the raw data, the number of spectral<br />

estimates <strong>and</strong> the maximum frequency selected, there is also a lower limit for<br />

the filter width, but no general values can be given;<br />

In most cases a filter width in the range 0.1 → 1.0 will work fine, <strong>and</strong><br />

sometimes even a filter width of 0.01 may be OK.<br />

Peak smearing Please be aware that filtering will smooth true peaks as well as noise peaks<br />

in the spectrum. Any peak will be broadened, <strong>and</strong> its height reduced, <strong>and</strong> in<br />

severe cases a true peak may not even be recognised after filtering. (See<br />

Figure 6-54).<br />

It is therefore strongly recommended that you take a look at the spectrum<br />

calculated without filters before you decide whether or not to use a filter.<br />

If you are in doubt as to whether or not a peak in the calculated spectrum is a<br />

noise peak, try increasing <strong>and</strong>/or decreasing the maximum frequency<br />

somewhat. Noise peaks are r<strong>and</strong>om by nature, <strong>and</strong> even such slight changes<br />

will affect them considerably. A true peak on the other h<strong>and</strong> should remain<br />

more or less unaffected.<br />

<strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>:Options <strong>and</strong> Add-ons 6-57

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