
Synthesizer.Plain.Filter.Recursive.FirstOrderComplex  Portability  requires multiparameter type classes  Stability  provisional  Maintainer  synthesizer@henningthielemann.de 



Description 
First order lowpass and highpass with complex valued feedback.
The complex feedback allows resonance.


Synopsis 



Documentation 


Instances  



The internal parameters are computed such that:
 At the resonance frequency
the filter amplifies by the factor resonance
with no phase shift.
 At resonance frequency plus half sample rate
the filter amplifies by facter recip $ 2  recip resonance
with no phase shift,
but you cannot observe this immediately,
because it is outside the Nyquist band.



The internal parameters are computed such that:
 At the resonance frequency
the filter amplifies by the factor resonance
with no phase shift.
 At resonance frequency plus and minus band width
the filter amplifies by facter 1 with a nonzero phase shift.



The internal parameters are computed such that:
 At the resonance frequency
the filter amplifies by the factor resonance
with a nonzero phase shift.
 The filter amplifies the direct current (frequency zero) by factor 1
with no phase shift.
 The real component is a lowpass,
the imaginary component is a highpass.
You can interpolate between them using other complex projections.



Universal filter: Computes high pass, band pass, low pass in one go












Produced by Haddock version 2.4.2 