Fft<T>.BackwardTransform Method

Definition

Namespace: Extreme.Mathematics.SignalProcessing
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

Overload List

BackwardTransform(ComplexConjugateSignalVector<T>)	Computes the discrete Fourier transform of a real signal and returns the result.
BackwardTransform(Vector<Complex<T>>)	Computes the discrete Fourier transform of a complex signal and returns the result..
BackwardTransform(ArraySlice<Complex<T>>, ArraySlice<T>)	Computes the discrete Fourier transform of a real signal.
BackwardTransform(ArraySlice<Complex<T>>, ArraySlice<Complex<T>>)	Computes the discrete Fourier transform of a complex signal.
BackwardTransform(ComplexConjugateSignalVector<T>, DenseVector<T>)	Computes the discrete Fourier transform of a real signal.
BackwardTransform(DenseVector<Complex<T>>, DenseVector<Complex<T>>)	Computes the discrete Fourier transform of a complex signal.
BackwardTransform(Vector<Complex<T>>, Vector<T>)	Computes the discrete Fourier transform of a real signal.
BackwardTransform(Vector<Complex<T>>, Vector<Complex<T>>)	Computes the discrete Fourier transform of a complex signal.
BackwardTransform(Vector<Complex<T>>, Vector<T>, RealFftFormat)	Computes the inverse discrete Fourier transform of a real signal.

BackwardTransform(ComplexConjugateSignalVector<T>)

Computes the discrete Fourier transform of a real signal and returns the result.

public DenseVector<T> BackwardTransform(
	ComplexConjugateSignalVector<T> input
)

Visual Basic

Public Function BackwardTransform ( 
	input As ComplexConjugateSignalVector(Of T)
) As DenseVector(Of T)

C++/CLI

public:
DenseVector<T>^ BackwardTransform(
	ComplexConjugateSignalVector<T>^ input
)

member BackwardTransform : 
        input : ComplexConjugateSignalVector<'T> -> DenseVector<'T>

Parameters

input ComplexConjugateSignalVector<T>: A ComplexConjugateSignalVector<T> vector to hold the transformed signal.

Return Value

DenseVector<T>

BackwardTransform(Vector<Complex<T>>)

Computes the discrete Fourier transform of a complex signal and returns the result..

public DenseVector<Complex<T>> BackwardTransform(
	Vector<Complex<T>> input
)

Visual Basic

Public Function BackwardTransform ( 
	input As Vector(Of Complex(Of T))
) As DenseVector(Of Complex(Of T))

C++/CLI

public:
DenseVector<Complex<T>>^ BackwardTransform(
	Vector<Complex<T>>^ input
)

member BackwardTransform : 
        input : Vector<Complex<'T>> -> DenseVector<Complex<'T>>

Parameters

input Vector<Complex<T>>: A complex vector containing the input signal.

Return Value

DenseVector<Complex<T>>
A dense complex vector containing the transformed signal.

BackwardTransform(ArraySlice<Complex<T>>, ArraySlice<T>)

Computes the discrete Fourier transform of a real signal.

public abstract void BackwardTransform(
	ArraySlice<Complex<T>> input,
	ArraySlice<T> output
)

Visual Basic

Public MustOverride Sub BackwardTransform ( 
	input As ArraySlice(Of Complex(Of T)),
	output As ArraySlice(Of T)
)

C++/CLI

public:
virtual void BackwardTransform(
	ArraySlice<Complex<T>> input, 
	ArraySlice<T> output
) abstract

abstract BackwardTransform : 
        input : ArraySlice<Complex<'T>> * 
        output : ArraySlice<'T> -> unit

Parameters

input ArraySlice<Complex<T>>: A complex array slice that contains the transformed signal.
output ArraySlice<T>: A real array slice to contain the original signal.

Exceptions

ArgumentNullException

input is null.

-or-

output is null.

DimensionMismatchException

The length of input does not equal the length of output.

BackwardTransform(ArraySlice<Complex<T>>, ArraySlice<Complex<T>>)

Computes the discrete Fourier transform of a complex signal.

public abstract void BackwardTransform(
	ArraySlice<Complex<T>> input,
	ArraySlice<Complex<T>> output
)

Visual Basic

Public MustOverride Sub BackwardTransform ( 
	input As ArraySlice(Of Complex(Of T)),
	output As ArraySlice(Of Complex(Of T))
)

C++/CLI

public:
virtual void BackwardTransform(
	ArraySlice<Complex<T>> input, 
	ArraySlice<Complex<T>> output
) abstract

abstract BackwardTransform : 
        input : ArraySlice<Complex<'T>> * 
        output : ArraySlice<Complex<'T>> -> unit

Parameters

input ArraySlice<Complex<T>>: A complex array slice containing the input signal.
output ArraySlice<Complex<T>>: A complex array slice to hold the transformed signal.

Exceptions

InvalidOperationException

The Fourier transform implementation is not configured to accept real input.

ArgumentNullException

input is null.

-or-

output is null.

DimensionMismatchException

The length of input does not equal the length of output.

BackwardTransform(ComplexConjugateSignalVector<T>, DenseVector<T>)

Computes the discrete Fourier transform of a real signal.

public void BackwardTransform(
	ComplexConjugateSignalVector<T> input,
	DenseVector<T> output
)

Visual Basic

Public Sub BackwardTransform ( 
	input As ComplexConjugateSignalVector(Of T),
	output As DenseVector(Of T)
)

C++/CLI

public:
void BackwardTransform(
	ComplexConjugateSignalVector<T>^ input, 
	DenseVector<T>^ output
)

member BackwardTransform : 
        input : ComplexConjugateSignalVector<'T> * 
        output : DenseVector<'T> -> unit

Parameters

input ComplexConjugateSignalVector<T>: A dense complex vector to hold the transformed signal.
output DenseVector<T>: A Double vector containing the input signal.

Exceptions

ArgumentNullException

input is null.

-or-

output is null.

DimensionMismatchException

The length of input does not equal the length of output.

BackwardTransform(DenseVector<Complex<T>>, DenseVector<Complex<T>>)

Computes the discrete Fourier transform of a complex signal.

public void BackwardTransform(
	DenseVector<Complex<T>> input,
	DenseVector<Complex<T>> output
)

Visual Basic

Public Sub BackwardTransform ( 
	input As DenseVector(Of Complex(Of T)),
	output As DenseVector(Of Complex(Of T))
)

C++/CLI

public:
void BackwardTransform(
	DenseVector<Complex<T>>^ input, 
	DenseVector<Complex<T>>^ output
)

member BackwardTransform : 
        input : DenseVector<Complex<'T>> * 
        output : DenseVector<Complex<'T>> -> unit

Parameters

input DenseVector<Complex<T>>: A dense complex vector containing the input signal.
output DenseVector<Complex<T>>: A dense complex vector to hold the transformed signal.

Exceptions

InvalidOperationException

The Fourier transform implementation is not configured to accept real input.

ArgumentNullException

input is null.

-or-

output is null.

DimensionMismatchException

The length of input does not equal the length of output.

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

Computes the discrete Fourier transform of a real signal.

public void BackwardTransform(
	Vector<Complex<T>> input,
	Vector<T> output
)

Visual Basic

Public Sub BackwardTransform ( 
	input As Vector(Of Complex(Of T)),
	output As Vector(Of T)
)

C++/CLI

public:
void BackwardTransform(
	Vector<Complex<T>>^ input, 
	Vector<T>^ output
)

member BackwardTransform : 
        input : Vector<Complex<'T>> * 
        output : Vector<'T> -> unit

Parameters

input Vector<Complex<T>>: A complex vector to hold the transformed signal.
output Vector<T>: A Double vector containing the input signal.

Remarks

This method transforms a complex signal to a real signal. Only the values in the first half of input are used. The second half of the input vector is assumed to be the complex conjugate of the first half.

Exceptions

InvalidOperationException

The Fourier transform implementation is not configured to accept real input.

ArgumentNullException

input is null.

-or-

output is null.

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

Computes the discrete Fourier transform of a complex signal.

public void BackwardTransform(
	Vector<Complex<T>> input,
	Vector<Complex<T>> output
)

Visual Basic

Public Sub BackwardTransform ( 
	input As Vector(Of Complex(Of T)),
	output As Vector(Of Complex(Of T))
)

C++/CLI

public:
void BackwardTransform(
	Vector<Complex<T>>^ input, 
	Vector<Complex<T>>^ output
)

member BackwardTransform : 
        input : Vector<Complex<'T>> * 
        output : Vector<Complex<'T>> -> unit

Parameters

input Vector<Complex<T>>: A complex vector containing the input signal.
output Vector<Complex<T>>: A complex vector to hold the transformed signal.

BackwardTransform(Vector<Complex<T>>, Vector<T>, RealFftFormat)

Computes the inverse discrete Fourier transform of a real signal.

public void BackwardTransform(
	Vector<Complex<T>> input,
	Vector<T> output,
	RealFftFormat outputFormat
)

Visual Basic

Public Sub BackwardTransform ( 
	input As Vector(Of Complex(Of T)),
	output As Vector(Of T),
	outputFormat As RealFftFormat
)

C++/CLI

public:
void BackwardTransform(
	Vector<Complex<T>>^ input, 
	Vector<T>^ output, 
	RealFftFormat outputFormat
)

member BackwardTransform : 
        input : Vector<Complex<'T>> * 
        output : Vector<'T> * 
        outputFormat : RealFftFormat -> unit

Parameters

input Vector<Complex<T>>: A complex vector containing the transformed signal.
output Vector<T>: A Double vector to hold the restored real signal.
outputFormat RealFftFormat: A RealFftFormat value that specifies whether to return a one-sided or a two-sided transform.

Remarks

Use this method to compute the inverse Fourier transform of a real signal. The outputFormat specifies whether the input contains the full complex transform (TwoSided), or only the first n/2+1 terms of the transformed signal (OneSided), where n is the length of the transform.

Exceptions

InvalidOperationException	The Fourier transform implementation is not configured to accept real input.
ArgumentNullException	input is null. -or- output is null.
ArgumentOutOfRangeException	outputFormat is not a valid RealFftFormat value.
DimensionMismatchException	outputFormat equals OneSided and the length of input does not equal half the length of output plus one. -or- outputFormat equals TwoSided and the length of input does not equal the length of output.

Fft<T>.BackwardTransform Method

Definition

Overload List

BackwardTransform(ComplexConjugateSignalVector<T>)

Parameters

Return Value

BackwardTransform(Vector<Complex<T>>)

Parameters

Return Value

BackwardTransform(ArraySlice<Complex<T>>, ArraySlice<T>)

Parameters

Exceptions

BackwardTransform(ArraySlice<Complex<T>>, ArraySlice<Complex<T>>)

Parameters

Exceptions

BackwardTransform(ComplexConjugateSignalVector<T>, DenseVector<T>)

Parameters

Exceptions

BackwardTransform(DenseVector<Complex<T>>, DenseVector<Complex<T>>)

Parameters

Exceptions

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

Parameters

Remarks

Exceptions

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

Parameters

BackwardTransform(Vector<Complex<T>>, Vector<T>, RealFftFormat)

Parameters

Remarks

Exceptions

See Also

Reference