synthesizer-core-0.4.0.4: Audio signal processing coded in Haskell: Low level part

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

Synthesizer.Basic.WaveSmoothed

Description

Waveforms which are smoothed according to the oscillator frequency in order to suppress aliasing effects.

Synopsis

# Documentation

data T t y Source

Instances

 C a y => C a (T t y) C y => C (T t y)

fromFunction :: (t -> t -> y) -> T t ySource

fromWave :: (C t, C t, C y) => T t y -> T t ySource

Use this function for waves which are sufficiently smooth. If the Nyquist frequency is exceeded the wave is simply replaced by a constant zero wave.

fromControlledWave :: (C t, C t, C y) => (t -> T t y) -> T t ySource

raise :: C y => y -> T t y -> T t ySource

amplify :: C y => y -> T t y -> T t ySource

distort :: (y -> z) -> T t y -> T t zSource

apply :: T t y -> t -> T t -> ySource

sine :: (C a, C a) => T a aSource

map a phase to value of a sine wave

cosine :: (C a, C a) => T a aSource

saw :: (C a, C a) => T a aSource

saw tooth, it's a ramp down in order to have a positive coefficient for the first partial sine

square :: (C a, C a) => T a aSource

square

triangle :: (C a, C a) => T a aSource

triangle

data Harmonic a Source

This is similar to Polar coordinates, but the range of the phase is from `0` to `1`, not `0` to `2*pi`.

If you need to represent a harmonic by complex coefficients instead of the polar representation, then please build a complex valued polynomial from your coefficients and use it to distort a `helix`.

``` distort (Poly.evaluate (Poly.fromCoeffs complexCoefficients)) helix
```

harmonic :: T a -> a -> Harmonic aSource

composedHarmonics :: (C a, C a) => [Harmonic a] -> T a aSource

Specify the wave by its harmonics.

The function is implemented quite efficiently by applying the Horner scheme to a polynomial with complex coefficients (the harmonic parameters) using a complex exponential as argument.