A non-band-limited gaussian function oscillator UGen. Output ranges from minVal to 1. It implements the formula:

f(x) = exp((x - phase).squared / (-2 * width.squared))

where x is to vary in the range -1 to 1 over the period dur . minVal is the initial value at -1. E.g. for default parameters, it is exp(-50) or roughly zero.

Examples

// dur and width can be modulated at audio rate
play {
  val dur = SinOsc.ar(MouseX.kr(2, 1000, 1) * Seq(1.0, 1.1)).linLin(-1, 1, 0.0006, 0.01)
  val width = SinOsc.ar(Seq(0.5, 0.55)).linLin(-1, 1, 0.01, 0.3)
  LFGauss.ar(dur, width) * 0.2
}

// several frequencies and widths combined
play {
  val x    = MouseX.kr(1, 0.07, 1)
  val y    = MouseY.kr(1, 3)
  val mod  = LFGauss.ar(x, (-1 to -6 by -1).map(i => y.pow(i)))
  val carr = SinOsc.ar((0 to 5).map(i => 200 * 1.3.pow(i)))
  Mix(carr * mod) * 0.1
}

// test spectrum
play {
  val son = LeakDC.ar(LFGauss.ar(0.005, 0.2))
  BPF.ar(son * 3, MouseX.kr(60, 2000, 1), 0.05)
}