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BSA Flow Software Installation and User's Guide - CSI

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20<br />

16<br />

12<br />

8<br />

4<br />

0<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Time [ms]<br />

Three different correlation estimates have been calculated, all with the same<br />

maximum lag-time, but with the number of correlation estimates selected to<br />

produce resampling frequencies of half, equal <strong>and</strong> twice the mean datarate<br />

respectively. This corresponds to the lag-time resolution being double, equal<br />

<strong>and</strong> half the average time between the raw samples.<br />

All correlation estimates in Figure 6-63 have been calculated up to a<br />

maximum lag-time of 40 ms, but only the first 1 ms is shown.<br />

20<br />

16<br />

12<br />

8<br />

4<br />

0<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Time [ms]<br />

20<br />

16<br />

12<br />

8<br />

4<br />

0<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Time [ms]<br />

Figure 6-63: Autocorrelation estimated with varying lag-time resolutions:<br />

Left: Resolution about double the mean time between raw samples.<br />

Middle: Resolution about equal to the mean time between raw<br />

samples.<br />

Right: Resolution about half the mean time between raw samples.<br />

(Results presented using the Advanced graphics add-on).<br />

From the left-h<strong>and</strong> correlation estimate to the middle one the resampling<br />

frequency has been increased from about half to equal the mean datarate, by<br />

doubling the number of correlation samples, <strong>and</strong> details that were missed<br />

with the low resampling frequency are now seen clearly. In the right-h<strong>and</strong><br />

correlation estimate, the number of correlation samples has been doubled<br />

once more, thereby doubling the resampling frequency also, but this time no<br />

new details are revealed in the calculated correlation estimate. This does not<br />

necessarily mean that the true correlation does not contain finer details, but<br />

with the data available they cannot be resolved.<br />

Since seeding particles pass the LDA measuring volume with r<strong>and</strong>om<br />

intervals, they produce velocity samples with r<strong>and</strong>om intervals also, <strong>and</strong><br />

consequently some of these samples will be closer together than the mean<br />

time between samples. This means that using a lag-time resolution finer than<br />

the average time between samples may improve results, but resampling at a<br />

frequency more than 5-10 times the mean datarate yield precious little new<br />

information, while increasing calculation time dramatically.<br />

Upon completion of the correlation-calculation, the number of blocks<br />

included is shown in the notification pane at the bottom of the screen (Select<br />

the Status-tab if several tabs are available).<br />

The message 0 blocks processed indicate that the software was unable to<br />

perform the calculation requested due to insufficient data. This may happen<br />

if the maximum lag-time requested yield a block length that is either too<br />

short or too long. If the block length is too short, there may not be 16 raw<br />

samples within each block as required, <strong>and</strong> obviously the longest block<br />

allowed correspond to the duration of the experiment itself, treating the<br />

whole experiment as one single block.<br />

<strong>BSA</strong> <strong>Flow</strong> <strong>Software</strong>:Options <strong>and</strong> Add-ons 6-67

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