Synthesizer.Plain.Filter.Recursive.SecondOrderCascade

Portability	requires multi-parameter type classes
Stability	provisional
Maintainer	synthesizer@henning-thielemann.de

Description

All recursive filters with real coefficients can be decomposed into first order and second order filters with real coefficients. This follows from the Fundamental theorem of algebra.

This implements a cascade of second order filters using StorableVectors for state and filter parameters.

Documentation

newtype Parameter a

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Constructors

Parameter (Vector (Parameter a))

Instances

(C a v, Storable v) => C a (Parameter v)

type Status a = Vector (Status a)

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checkSizes :: String -> Vector a -> Vector b -> c -> c

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withSizeCheck :: String -> (Vector a -> Vector b -> c) -> Vector a -> Vector b -> c

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step :: (C a, C a v, Storable a, Storable v) => Parameter a -> v -> State (Status v) v

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modifierInit :: (C a, C a v, Storable a, Storable v) => Initialized (Status v) (Status v) (Parameter a) v v

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modifier :: (C a, C a v, Storable a, Storable v) => Int -> Simple (Status v) (Parameter a) v v

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causal :: (C a, C a v, Storable a, Storable v) => Int -> T (Parameter a, v) v

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