Synthesizer.Plain.Filter.Recursive.SecondOrder

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.

Synopsis

data Parameter a = Parameter {

c0 :: !a

c1 :: !a

c2 :: !a

d1 :: !a

d2 :: !a

}

adjustPassband :: C a => Passband -> Parameter a -> Parameter a

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

runInit :: (C a, C a v) => ((v, v), (v, v)) -> T (Parameter a) -> T v -> T v

run :: (C a, C a v) => T (Parameter a) -> T v -> T v

Documentation

data Parameter a

Source

Parameters for a general recursive filter of 2nd order.

Constructors

Parameter

c0 :: !a
c1 :: !a
c2 :: !a
d1 :: !a
d2 :: !a

Instances

Show a => Show (Parameter a)

adjustPassband :: C a => Passband -> Parameter a -> Parameter a

Source

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

Source

runInit :: (C a, C a v) => ((v, v), (v, v)) -> T (Parameter a) -> T v -> T v

Source

run :: (C a, C a v) => T (Parameter a) -> T v -> T v

Source

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