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LinearSystems.LowpassToHighpass Function

Frequency transformation from a lowpass to a highpass filter in s-domain.

Pascal
procedure LowpassToHighpass(const z: TVec; const p: TVec; var k: Double; Freq: Double); overload;

Transform a lowpass filter prototype in zero-pole form to a highpass filter, where the new cutoff frequency is Freq. Assumed sampling frequency is 2. The transformation is defined as ([1], p. 258):

          Wu
  s --> -----
          s

  Wu - new cutoff frequency

The routine also adds zeros at 0. It adds one zero, if the lowpass filter order is odd and already has zeros. If the filter does not have zeros, it adds sufficient zeros at 0 to match the order of the filter. 

References:  

[1] Theory and application of digital signal processing, Lawrence R. Rabiner and Bernard Gold. Prentice-Hall, 1975

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