EXAMPLES
FILTER DESIGN
 order 

Example for
designing digital filters

 

WindDataSuite implements a module for designing digital low-pass, high-pass, band-pass, and inverse band-pass filters. The filter kinds comprise running mean, ideal rectangular filter, and Lanczos cosine filter.

In the following example, low-pass filters have been designed for a cut-off period (50% energy pass) of 24 values (measuring intervals). When the sampling rate of the measurement is 10 minutes then this corresponds to a cut-off period of 4 hours.

The figures of the filter response show, that the running mean has a very bad filter response: bad energy pass in the cut-off transition zone and beyond, and phase inversions at periods less than the cut-off period (Fig.1) - also in the case that the filter factors nearly match the correct energy pass at the cut-off period (Fig.2). Despite of its very bad filter response, WindDataSuite also provides the running mean as a digital filter since it is still used widely.

The ideal rectangular filter matches the cut-off energy pass very well, but still shows phase inversions and energy amplifications (Gibbs oscillations) in the vicinity of the cut-off period transition band (Fig.3).

The Lanczos cosine filter minimizes the Gibbs oscillation and shows a very good filter response (Fig.4).

 

Fig.1:
Running mean with 25 filter factors
Fig.2:
Running mean with 15 filter factors
Fig.3:
Ideal rectangular filter
Fig.4:
Lanczos cosine filter

 

Computing time:
approx. 1 second
Processing time:
approx. 1 minute
© WIND DATA SUiTE - Dr. Helmut Frey      Last modified on 2017/12/01