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SignalUtils.DcFilter Method (double, double, TVec, TVec)
SignalUtils Class  SignalUtils Members  Dew.Signal.Units Namespace  DcFilter Method
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Design a DC filter.

Syntax
C#
Visual Basic
public static void DcFilter(double TransitionBandwidth, double FS, TVec Num, TVec Den);
Remarks

Design a DC filter with TransitionBandwidth and place the transfer function in Num (numerator) and Den (denominator). You can then use this transfer function to initialize an IIR filter with a call to IirInit. 

A DC filtered signal will be centered around zero. This DC filter is a simple differentiator/integrator pair. Transition bandwidth is the width of the frequency band where the amplitude is not yet completely attenuated. With DC filters, the transition band starts at 0 Hz. Narrow transition band (TransitionBandwidth/FS ratio is small) will result in filters with longer delays. FS is the sampling frequency. The filter implements the following difference equation: 

 

y[i] = x[i] - x[i-1] + alpha*y[i-1] x.. input signal y.. output signal alpha.. parameter

 

Alpha paremeter can control the 3dB frequency of the transition bandwidth: 

 

alpha := 1-(TransitionBandwidth/FS)*Pi; FS.. sampling frequency TransitionBandwidth.. frequency up to which will the filter have more then 3dB attenuation. Must be less then FS/2.
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