Hilbert

A Hilbert transform UGen. This transformation produces two signals from a given input with identical frequency content, but with their respective phases shifted to be 90 degrees apart (0.5 pi radians).

The two signals output by Hilbert correspond to the real and imaginary part of the complex transformed signal. Due to the method used (an IIR filter), distortion occurs in the upper octave of the frequency spectrum.

The transform can be used to implemented single-side-band (SSB) modulation, but a dedicated UGen FreqShift is already provided for this case.

Examples

// a form of envelope tracking
play {
  val in = SinOsc.ar(440)
  val h  = Hilbert.ar(in)
  val x  = h.real.squared + h.imag.squared
  x.poll(1)  // cos(x)^2 + sin(x)^2 == 1 (ideally)
  0
}

See also: FreqShift

Linear Supertypes

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final def ##(): Int

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final def ==(arg0: Any): Boolean

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def ar(in: GE): Hilbert

in
input signal to be processed
final def asInstanceOf[T0]: T0

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def clone(): AnyRef

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protected[java.lang]
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@throws( classOf[java.lang.Throwable] )
final def getClass(): Class[_]

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def hashCode(): Int

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final def isInstanceOf[T0]: Boolean

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final def ne(arg0: AnyRef): Boolean

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final def notify(): Unit

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final def notifyAll(): Unit

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final def synchronized[T0](arg0: ⇒ T0): T0

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def toString(): String

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final def wait(): Unit

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Related Docs: class Hilbert | package ugen

object Hilbert extends Serializable

Examples

Value Members

final def !=(arg0: Any): Boolean

final def ##(): Int

final def ==(arg0: Any): Boolean

def ar(in: GE): Hilbert

final def asInstanceOf[T0]: T0

def clone(): AnyRef

final def eq(arg0: AnyRef): Boolean

def equals(arg0: Any): Boolean

def finalize(): Unit

final def getClass(): Class[_]

def hashCode(): Int

final def isInstanceOf[T0]: Boolean

final def ne(arg0: AnyRef): Boolean

final def notify(): Unit

final def notifyAll(): Unit

final def synchronized[T0](arg0: ⇒ T0): T0

def toString(): String

final def wait(): Unit

final def wait(arg0: Long, arg1: Int): Unit

final def wait(arg0: Long): Unit

Inherited from Serializable

Inherited from Serializable

Inherited from AnyRef

Inherited from Any

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