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Synthesizer.Plain.Filter.Recursive.FirstOrderComplex | Portability | requires multi-parameter type classes | Stability | provisional | Maintainer | synthesizer@henning-thielemann.de |
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Description |
First order lowpass and highpass with complex valued feedback.
The complex feedback allows resonance.
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Synopsis |
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Documentation |
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Instances | |
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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.
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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 non-zero phase shift.
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The internal parameters are computed such that:
- At the resonance frequency
the filter amplifies by the factor resonance
with a non-zero 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.
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Universal filter: Computes high pass, band pass, low pass in one go
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Produced by Haddock version 2.4.2 |