SignalMath.InverseFourierTransform Method

Definition

Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 10.0.0

Overload List

InverseFourierTransform<T>(Vector<Complex<T>>)	Computes the inverse discrete Fourier transform of a complex spectrum and returns the time-domain signal. The result is scaled by 1/N.
InverseFourierTransform<T>(ReadOnlySpan<Complex<T>>, Span<T>)	Computes the inverse discrete Fourier transform of a Hermitian-symmetric complex spectrum, returning a real time-domain signal. The result is scaled by 1/N.
InverseFourierTransform<T>(ReadOnlySpan<Complex<T>>, Span<Complex<T>>)	Computes the inverse discrete Fourier transform of a complex spectrum, returning a complex time-domain signal. The result is scaled by 1/N.
InverseFourierTransform<T>(Vector<Complex<T>>, Vector<T>)	Computes the inverse discrete Fourier transform of a Hermitian-symmetric complex spectrum, returning a real time-domain signal. The result is scaled by 1/N.
InverseFourierTransform<T>(Vector<Complex<T>>, Vector<Complex<T>>)	Computes the inverse discrete Fourier transform of a complex spectrum, returning a complex time-domain signal. The result is scaled by 1/N.
InverseFourierTransform<T>(Int32, ReadOnlySpan<Complex<T>>, Int32, Span<T>, Int32)	Computes the inverse discrete Fourier transform of a Hermitian-symmetric complex spectrum, returning a real time-domain signal. The result is scaled by 1/N.
InverseFourierTransform<T>(Int32, ReadOnlySpan<Complex<T>>, Int32, Span<Complex<T>>, Int32)	Computes the inverse discrete Fourier transform of a complex spectrum, returning a complex time-domain signal. The result is scaled by 1/N.

InverseFourierTransform<T>(Vector<Complex<T>>)

Computes the inverse discrete Fourier transform of a complex spectrum and returns the time-domain signal. The result is scaled by 1/N.

public static Vector<Complex<T>> InverseFourierTransform<T>(
	Vector<Complex<T>> spectrum
)

Visual Basic

Public Shared Function InverseFourierTransform(Of T) ( 
	spectrum As Vector(Of Complex(Of T))
) As Vector(Of Complex(Of T))

C++/CLI

public:
generic<typename T>
static Vector<Complex<T>>^ InverseFourierTransform(
	Vector<Complex<T>>^ spectrum
)

static member InverseFourierTransform : 
        spectrum : Vector<Complex<'T>> -> Vector<Complex<'T>>

Parameters

spectrum Vector<Complex<T>>: The complex frequency spectrum vector.

Type Parameters

T: The element type (double or float).

Return Value

Vector<Complex<T>>
A complex-valued vector containing the time-domain signal.

Exceptions

ArgumentNullException

Thrown when spectrum is null.

InverseFourierTransform<T>(ReadOnlySpan<Complex<T>>, Span<T>)

Computes the inverse discrete Fourier transform of a Hermitian-symmetric complex spectrum, returning a real time-domain signal. The result is scaled by 1/N.

public static void InverseFourierTransform<T>(
	ReadOnlySpan<Complex<T>> hermitianSpectrum,
	Span<T> result
)

Visual Basic

Public Shared Sub InverseFourierTransform(Of T) ( 
	hermitianSpectrum As ReadOnlySpan(Of Complex(Of T)),
	result As Span(Of T)
)

C++/CLI

public:
generic<typename T>
static void InverseFourierTransform(
	ReadOnlySpan<Complex<T>> hermitianSpectrum, 
	Span<T> result
)

static member InverseFourierTransform : 
        hermitianSpectrum : ReadOnlySpan<Complex<'T>> * 
        result : Span<'T> -> unit

Parameters

hermitianSpectrum ReadOnlySpan<Complex<T>>: A read-only span containing the Hermitian-symmetric frequency spectrum.
result Span<T>: A span to hold the real time-domain signal.

Type Parameters

T: The element type (double or float).

Exceptions

ArgumentException

Thrown when the spectrum and result dimensions do not match expected sizes.

InverseFourierTransform<T>(ReadOnlySpan<Complex<T>>, Span<Complex<T>>)

Computes the inverse discrete Fourier transform of a complex spectrum, returning a complex time-domain signal. The result is scaled by 1/N.

public static void InverseFourierTransform<T>(
	ReadOnlySpan<Complex<T>> spectrum,
	Span<Complex<T>> result
)

Visual Basic

Public Shared Sub InverseFourierTransform(Of T) ( 
	spectrum As ReadOnlySpan(Of Complex(Of T)),
	result As Span(Of Complex(Of T))
)

C++/CLI

public:
generic<typename T>
static void InverseFourierTransform(
	ReadOnlySpan<Complex<T>> spectrum, 
	Span<Complex<T>> result
)

static member InverseFourierTransform : 
        spectrum : ReadOnlySpan<Complex<'T>> * 
        result : Span<Complex<'T>> -> unit

Parameters

spectrum ReadOnlySpan<Complex<T>>: A read-only span containing the complex frequency spectrum.
result Span<Complex<T>>: A span to hold the complex time-domain signal.

Type Parameters

T: The element type (double or float).

Exceptions

ArgumentException

Thrown when the spectrum and result dimensions do not match.

InverseFourierTransform<T>(Vector<Complex<T>>, Vector<T>)

Computes the inverse discrete Fourier transform of a Hermitian-symmetric complex spectrum, returning a real time-domain signal. The result is scaled by 1/N.

public static void InverseFourierTransform<T>(
	Vector<Complex<T>> hermitianSpectrum,
	Vector<T> output
)

Visual Basic

Public Shared Sub InverseFourierTransform(Of T) ( 
	hermitianSpectrum As Vector(Of Complex(Of T)),
	output As Vector(Of T)
)

C++/CLI

public:
generic<typename T>
static void InverseFourierTransform(
	Vector<Complex<T>>^ hermitianSpectrum, 
	Vector<T>^ output
)

static member InverseFourierTransform : 
        hermitianSpectrum : Vector<Complex<'T>> * 
        output : Vector<'T> -> unit

Parameters

hermitianSpectrum Vector<Complex<T>>: The Hermitian-symmetric frequency spectrum vector.
output Vector<T>: The real time-domain signal vector.

Type Parameters

T: The element type (double or float).

Exceptions

ArgumentNullException	Thrown when hermitianSpectrum or output is null.
ArgumentException	Thrown when the spectrum and output vector lengths do not match expected sizes.

InverseFourierTransform<T>(Vector<Complex<T>>, Vector<Complex<T>>)

Computes the inverse discrete Fourier transform of a complex spectrum, returning a complex time-domain signal. The result is scaled by 1/N.

public static void InverseFourierTransform<T>(
	Vector<Complex<T>> spectrum,
	Vector<Complex<T>> output
)

Visual Basic

Public Shared Sub InverseFourierTransform(Of T) ( 
	spectrum As Vector(Of Complex(Of T)),
	output As Vector(Of Complex(Of T))
)

C++/CLI

public:
generic<typename T>
static void InverseFourierTransform(
	Vector<Complex<T>>^ spectrum, 
	Vector<Complex<T>>^ output
)

static member InverseFourierTransform : 
        spectrum : Vector<Complex<'T>> * 
        output : Vector<Complex<'T>> -> unit

Parameters

spectrum Vector<Complex<T>>: The complex frequency spectrum vector.
output Vector<Complex<T>>: The complex time-domain signal vector.

Type Parameters

T: The element type (double or float).

Exceptions

ArgumentNullException	Thrown when spectrum or output is null.
ArgumentException	Thrown when the spectrum and output vector lengths do not match.

InverseFourierTransform<T>(Int32, ReadOnlySpan<Complex<T>>, Int32, Span<T>, Int32)

Computes the inverse discrete Fourier transform of a Hermitian-symmetric complex spectrum, returning a real time-domain signal. The result is scaled by 1/N.

public static void InverseFourierTransform<T>(
	int length,
	ReadOnlySpan<Complex<T>> hermitianSpectrum,
	int spectrumStride,
	Span<T> result,
	int resultStride
)

Visual Basic

Public Shared Sub InverseFourierTransform(Of T) ( 
	length As Integer,
	hermitianSpectrum As ReadOnlySpan(Of Complex(Of T)),
	spectrumStride As Integer,
	result As Span(Of T),
	resultStride As Integer
)

C++/CLI

public:
generic<typename T>
static void InverseFourierTransform(
	int length, 
	ReadOnlySpan<Complex<T>> hermitianSpectrum, 
	int spectrumStride, 
	Span<T> result, 
	int resultStride
)

static member InverseFourierTransform : 
        length : int * 
        hermitianSpectrum : ReadOnlySpan<Complex<'T>> * 
        spectrumStride : int * 
        result : Span<'T> * 
        resultStride : int -> unit

Parameters

length Int32: The number of elements in the result signal.
hermitianSpectrum ReadOnlySpan<Complex<T>>: A read-only span containing the Hermitian-symmetric frequency spectrum.
spectrumStride Int32: The stride between successive elements in hermitianSpectrum.
result Span<T>: A span to hold the real time-domain signal.
resultStride Int32: The stride between successive elements in result.

Type Parameters

T: The element type (double or float).

Exceptions

ArgumentException

Thrown when the spectrum and result dimensions do not match expected sizes.

InverseFourierTransform<T>(Int32, ReadOnlySpan<Complex<T>>, Int32, Span<Complex<T>>, Int32)

Computes the inverse discrete Fourier transform of a complex spectrum, returning a complex time-domain signal. The result is scaled by 1/N.

public static void InverseFourierTransform<T>(
	int length,
	ReadOnlySpan<Complex<T>> spectrum,
	int spectrumStride,
	Span<Complex<T>> result,
	int resultStride
)

Visual Basic

Public Shared Sub InverseFourierTransform(Of T) ( 
	length As Integer,
	spectrum As ReadOnlySpan(Of Complex(Of T)),
	spectrumStride As Integer,
	result As Span(Of Complex(Of T)),
	resultStride As Integer
)

C++/CLI

public:
generic<typename T>
static void InverseFourierTransform(
	int length, 
	ReadOnlySpan<Complex<T>> spectrum, 
	int spectrumStride, 
	Span<Complex<T>> result, 
	int resultStride
)

static member InverseFourierTransform : 
        length : int * 
        spectrum : ReadOnlySpan<Complex<'T>> * 
        spectrumStride : int * 
        result : Span<Complex<'T>> * 
        resultStride : int -> unit

Parameters

length Int32: The number of elements in the spectrum.
spectrum ReadOnlySpan<Complex<T>>: A read-only span containing the complex frequency spectrum.
spectrumStride Int32: The stride between successive elements in spectrum.
result Span<Complex<T>>: A span to hold the complex time-domain signal.
resultStride Int32: The stride between successive elements in result.

Type Parameters

T: The element type (double or float).

Exceptions

ArgumentException

Thrown when the spectrum and result dimensions do not match.

SignalMath.InverseFourierTransform Method

Definition

Overload List

InverseFourierTransform<T>(Vector<Complex<T>>)

Parameters

Type Parameters

Return Value

Exceptions

InverseFourierTransform<T>(ReadOnlySpan<Complex<T>>, Span<T>)

Parameters

Type Parameters

Exceptions

InverseFourierTransform<T>(ReadOnlySpan<Complex<T>>, Span<Complex<T>>)

Parameters

Type Parameters

Exceptions

InverseFourierTransform<T>(Vector<Complex<T>>, Vector<T>)

Parameters

Type Parameters

Exceptions

InverseFourierTransform<T>(Vector<Complex<T>>, Vector<Complex<T>>)

Parameters

Type Parameters

Exceptions

InverseFourierTransform<T>(Int32, ReadOnlySpan<Complex<T>>, Int32, Span<T>, Int32)

Parameters

Type Parameters

Exceptions

InverseFourierTransform<T>(Int32, ReadOnlySpan<Complex<T>>, Int32, Span<Complex<T>>, Int32)

Parameters

Type Parameters

Exceptions

See Also

Reference