Fft2D<T>.ForwardTransform Method

Definition

Namespace: Numerics.NET.SignalProcessing
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.4

Overload List

ForwardTransform(Matrix<T>)	Computes the discrete Fourier transform of a real signal and returns the result.
ForwardTransform(Matrix<Complex<T>>)	Computes the discrete Fourier transform of a complex signal and returns the result.
ForwardTransform(DenseMatrix<T>, ComplexConjugateSignalMatrix<T>)	Computes the discrete Fourier transform of a real signal.
ForwardTransform(DenseMatrix<Complex<T>>, DenseMatrix<Complex<T>>)	Computes the discrete Fourier transform of a complex signal.
ForwardTransform(Matrix<T>, Matrix<Complex<T>>)	Computes the discrete Fourier transform of a real signal.
ForwardTransform(Matrix<Complex<T>>, Matrix<Complex<T>>)	Computes the discrete Fourier transform of a complex signal.
ForwardTransform(ReadOnlySpan2D<T>, Span2D<Complex<T>>)
ForwardTransform(ReadOnlySpan2D<Complex<T>>, Span2D<Complex<T>>)
ForwardTransform(Matrix<T>, Matrix<Complex<T>>, RealFftFormat)	Computes the discrete Fourier transform of a real signal.
ForwardTransform(ReadOnlySpan<T>, Int32, Span<Complex<T>>, Int32)	Computes the discrete Fourier transform of a real signal.
ForwardTransform(ReadOnlySpan<Complex<T>>, Int32, Span<Complex<T>>, Int32)	Computes the discrete Fourier transform of a complex signal.
ForwardTransform<TStorage2D>(TStorage2D, TStorage2D)	Computes the discrete Fourier transform of a complex signal.
ForwardTransform<TStorage2D, TComplexStorage2D>(TStorage2D, Array2D<Complex<T>>)	Computes the discrete Fourier transform of a real signal.

ForwardTransform(Matrix<T>)

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

public ComplexConjugateSignalMatrix<T> ForwardTransform(
	Matrix<T> input
)

Visual Basic

Public Function ForwardTransform ( 
	input As Matrix(Of T)
) As ComplexConjugateSignalMatrix(Of T)

C++/CLI

public:
ComplexConjugateSignalMatrix<T>^ ForwardTransform(
	Matrix<T>^ input
)

member ForwardTransform : 
        input : Matrix<'T> -> ComplexConjugateSignalMatrix<'T>

Parameters

input Matrix<T>: A Double matrix containing the input signal.

Return Value

ComplexConjugateSignalMatrix<T>
A ComplexConjugateSignalMatrix<T>.

Remarks

The output is stored in a compact format to take advantage of the symmetry properties of a real Fourier transform.

Exceptions

ArgumentNullException

input is null.

ForwardTransform(Matrix<Complex<T>>)

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

public DenseMatrix<Complex<T>> ForwardTransform(
	Matrix<Complex<T>> input
)

Visual Basic

Public Function ForwardTransform ( 
	input As Matrix(Of Complex(Of T))
) As DenseMatrix(Of Complex(Of T))

C++/CLI

public:
DenseMatrix<Complex<T>>^ ForwardTransform(
	Matrix<Complex<T>>^ input
)

member ForwardTransform : 
        input : Matrix<Complex<'T>> -> DenseMatrix<Complex<'T>>

Parameters

input Matrix<Complex<T>>: On input, a complex matrix containing the input signal. On return, the forward transform of the input.

Return Value

DenseMatrix<Complex<T>>

Exceptions

ArgumentNullException

input is null.

ForwardTransform<TStorage2D, TComplexStorage2D>(TStorage2D, Array2D<Complex<T>>)

Computes the discrete Fourier transform of a real signal.

public void ForwardTransform<TStorage2D, TComplexStorage2D>(
	TStorage2D input,
	Array2D<Complex<T>> output
)
where TStorage2D : Object, IStorage2D<T>
where TComplexStorage2D : Object, IStorage2D<Complex<T>>

Visual Basic

Public Sub ForwardTransform(Of TStorage2D As {Object, IStorage2D(Of T)}, TComplexStorage2D As {Object, IStorage2D(Of Complex(Of T))}) ( 
	input As TStorage2D,
	output As Array2D(Of Complex(Of T))
)

C++/CLI

public:
generic<typename TStorage2D, typename TComplexStorage2D>
where TStorage2D : Object, IStorage2D<T>
where TComplexStorage2D : Object, IStorage2D<Complex<T>>
void ForwardTransform(
	TStorage2D input, 
	Array2D<Complex<T>> output
)

member ForwardTransform : 
        input : 'TStorage2D * 
        output : Array2D<Complex<'T>> -> unit  when 'TStorage2D : Object and IStorage2D<'T> when 'TComplexStorage2D : Object and IStorage2D<Complex<'T>>

Parameters

input TStorage2D: A real 2D array containing the input signal.
output Array2D<Complex<T>>: A complex 2D array to hold the transformed signal.

Type Parameters

TStorage2D
TComplexStorage2D

Remarks

The output is stored in a compact format to take advantage of the symmetry properties of a real Fourier transform. Specifically, output contains only the first n/2+1 terms of 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.

ForwardTransform(DenseMatrix<T>, ComplexConjugateSignalMatrix<T>)

Computes the discrete Fourier transform of a real signal.

public void ForwardTransform(
	DenseMatrix<T> input,
	ComplexConjugateSignalMatrix<T> output
)

Visual Basic

Public Sub ForwardTransform ( 
	input As DenseMatrix(Of T),
	output As ComplexConjugateSignalMatrix(Of T)
)

C++/CLI

public:
void ForwardTransform(
	DenseMatrix<T>^ input, 
	ComplexConjugateSignalMatrix<T>^ output
)

member ForwardTransform : 
        input : DenseMatrix<'T> * 
        output : ComplexConjugateSignalMatrix<'T> -> unit

Parameters

input DenseMatrix<T>: A Double matrix containing the input signal.
output ComplexConjugateSignalMatrix<T>: A complex matrix to hold the transformed signal.

Remarks

The output is stored in a compact format to take advantage of the symmetry properties of a real Fourier transform. Specifically, output contains only the first n/2+1 terms of the transformed signal. Use the ComplexConjugateSignalMatrix<T> class to obtain a complex matrix that represents the complete 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.

ForwardTransform(DenseMatrix<Complex<T>>, DenseMatrix<Complex<T>>)

Computes the discrete Fourier transform of a complex signal.

public void ForwardTransform(
	DenseMatrix<Complex<T>> input,
	DenseMatrix<Complex<T>> output
)

Visual Basic

Public Sub ForwardTransform ( 
	input As DenseMatrix(Of Complex(Of T)),
	output As DenseMatrix(Of Complex(Of T))
)

C++/CLI

public:
void ForwardTransform(
	DenseMatrix<Complex<T>>^ input, 
	DenseMatrix<Complex<T>>^ output
)

member ForwardTransform : 
        input : DenseMatrix<Complex<'T>> * 
        output : DenseMatrix<Complex<'T>> -> unit

Parameters

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

Exceptions

ArgumentNullException

input is null.

-or-

output is null.

DimensionMismatchException

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

ForwardTransform<TStorage2D>(TStorage2D, TStorage2D)

Computes the discrete Fourier transform of a complex signal.

public void ForwardTransform<TStorage2D>(
	TStorage2D input,
	TStorage2D output
)
where TStorage2D : Object, IStorage2D<Complex<T>>

Visual Basic

Public Sub ForwardTransform(Of TStorage2D As {Object, IStorage2D(Of Complex(Of T))}) ( 
	input As TStorage2D,
	output As TStorage2D
)

C++/CLI

public:
generic<typename TStorage2D>
where TStorage2D : Object, IStorage2D<Complex<T>>
void ForwardTransform(
	TStorage2D input, 
	TStorage2D output
)

member ForwardTransform : 
        input : 'TStorage2D * 
        output : 'TStorage2D -> unit  when 'TStorage2D : Object and IStorage2D<Complex<'T>>

Parameters

input TStorage2D: A complex 2D array containing the input signal.
output TStorage2D: A complex 2D array to hold the transformed signal.

Type Parameters

TStorage2D

Exceptions

ArgumentNullException

input is null.

-or-

output is null.

DimensionMismatchException

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

ForwardTransform(Matrix<T>, Matrix<Complex<T>>)

Computes the discrete Fourier transform of a real signal.

public void ForwardTransform(
	Matrix<T> input,
	Matrix<Complex<T>> output
)

Visual Basic

Public Sub ForwardTransform ( 
	input As Matrix(Of T),
	output As Matrix(Of Complex(Of T))
)

C++/CLI

public:
void ForwardTransform(
	Matrix<T>^ input, 
	Matrix<Complex<T>>^ output
)

member ForwardTransform : 
        input : Matrix<'T> * 
        output : Matrix<Complex<'T>> -> unit

Parameters

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

Remarks

Exceptions

ArgumentNullException

input is null.

-or-

output is null.

ForwardTransform(Matrix<Complex<T>>, Matrix<Complex<T>>)

Computes the discrete Fourier transform of a complex signal.

public void ForwardTransform(
	Matrix<Complex<T>> input,
	Matrix<Complex<T>> output
)

Visual Basic

Public Sub ForwardTransform ( 
	input As Matrix(Of Complex(Of T)),
	output As Matrix(Of Complex(Of T))
)

C++/CLI

public:
void ForwardTransform(
	Matrix<Complex<T>>^ input, 
	Matrix<Complex<T>>^ output
)

member ForwardTransform : 
        input : Matrix<Complex<'T>> * 
        output : Matrix<Complex<'T>> -> unit

Parameters

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

Exceptions

ArgumentNullException

input is null.

-or-

output is null.

ForwardTransform(ReadOnlySpan2D<T>, Span2D<Complex<T>>)

public void ForwardTransform(
	ReadOnlySpan2D<T> input,
	Span2D<Complex<T>> output
)

Visual Basic

Public Sub ForwardTransform ( 
	input As ReadOnlySpan2D(Of T),
	output As Span2D(Of Complex(Of T))
)

C++/CLI

public:
void ForwardTransform(
	ReadOnlySpan2D<T> input, 
	Span2D<Complex<T>> output
)

member ForwardTransform : 
        input : ReadOnlySpan2D<'T> * 
        output : Span2D<Complex<'T>> -> unit

Parameters

input ReadOnlySpan2D<T>
output Span2D<Complex<T>>

ForwardTransform(ReadOnlySpan2D<Complex<T>>, Span2D<Complex<T>>)

public void ForwardTransform(
	ReadOnlySpan2D<Complex<T>> input,
	Span2D<Complex<T>> output
)

Visual Basic

Public Sub ForwardTransform ( 
	input As ReadOnlySpan2D(Of Complex(Of T)),
	output As Span2D(Of Complex(Of T))
)

C++/CLI

public:
void ForwardTransform(
	ReadOnlySpan2D<Complex<T>> input, 
	Span2D<Complex<T>> output
)

member ForwardTransform : 
        input : ReadOnlySpan2D<Complex<'T>> * 
        output : Span2D<Complex<'T>> -> unit

Parameters

input ReadOnlySpan2D<Complex<T>>
output Span2D<Complex<T>>

ForwardTransform(Matrix<T>, Matrix<Complex<T>>, RealFftFormat)

Computes the discrete Fourier transform of a real signal.

public void ForwardTransform(
	Matrix<T> input,
	Matrix<Complex<T>> output,
	RealFftFormat outputFormat
)

Visual Basic

Public Sub ForwardTransform ( 
	input As Matrix(Of T),
	output As Matrix(Of Complex(Of T)),
	outputFormat As RealFftFormat
)

C++/CLI

public:
void ForwardTransform(
	Matrix<T>^ input, 
	Matrix<Complex<T>>^ output, 
	RealFftFormat outputFormat
)

member ForwardTransform : 
        input : Matrix<'T> * 
        output : Matrix<Complex<'T>> * 
        outputFormat : RealFftFormat -> unit

Parameters

input Matrix<T>: A Double matrix containing the input signal.
output Matrix<Complex<T>>: A complex matrix to hold the transformed 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 Fourier transform of a real signal. The outputFormat specifies whether the return value should contain 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 output does not equal half the length of input plus one. -or- outputFormat equals TwoSided and the length of input does not equal the length of output.

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

Computes the discrete Fourier transform of a real signal.

public abstract void ForwardTransform(
	ReadOnlySpan<T> input,
	int inputLeadingDimension,
	Span<Complex<T>> output,
	int outputLeadingDimension
)

Visual Basic

Public MustOverride Sub ForwardTransform ( 
	input As ReadOnlySpan(Of T),
	inputLeadingDimension As Integer,
	output As Span(Of Complex(Of T)),
	outputLeadingDimension As Integer
)

C++/CLI

public:
virtual void ForwardTransform(
	ReadOnlySpan<T> input, 
	int inputLeadingDimension, 
	Span<Complex<T>> output, 
	int outputLeadingDimension
) abstract

abstract ForwardTransform : 
        input : ReadOnlySpan<'T> * 
        inputLeadingDimension : int * 
        output : Span<Complex<'T>> * 
        outputLeadingDimension : int -> unit

Parameters

input ReadOnlySpan<T>: A span containing a real 2D array containing the input signal.
inputLeadingDimension Int32: The number of elements between the start of successive columns in input.
output Span<Complex<T>>: A span containing a complex 2D array to hold the transformed signal.
outputLeadingDimension Int32: The number of elements between the start of successive columns in output.

Remarks

The output is stored in a compact format to take advantage of the symmetry properties of a real Fourier transform. Specifically, output contains only the first n/2+1 terms of the transformed signal.

Exceptions

InvalidOperationException

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

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

Computes the discrete Fourier transform of a complex signal.

public abstract void ForwardTransform(
	ReadOnlySpan<Complex<T>> input,
	int inputLeadingDimension,
	Span<Complex<T>> output,
	int outputLeadingDimension
)

Visual Basic

Public MustOverride Sub ForwardTransform ( 
	input As ReadOnlySpan(Of Complex(Of T)),
	inputLeadingDimension As Integer,
	output As Span(Of Complex(Of T)),
	outputLeadingDimension As Integer
)

C++/CLI

public:
virtual void ForwardTransform(
	ReadOnlySpan<Complex<T>> input, 
	int inputLeadingDimension, 
	Span<Complex<T>> output, 
	int outputLeadingDimension
) abstract

abstract ForwardTransform : 
        input : ReadOnlySpan<Complex<'T>> * 
        inputLeadingDimension : int * 
        output : Span<Complex<'T>> * 
        outputLeadingDimension : int -> unit

Parameters

input ReadOnlySpan<Complex<T>>: A span containing a complex 2D array containing the input signal.
inputLeadingDimension Int32: The number of elements between the start of successive columns in input.
output Span<Complex<T>>: A span containing a complex 2D array to hold the transformed signal.
outputLeadingDimension Int32: The number of elements between the start of successive columns in output.

Fft2D<T>.ForwardTransform Method

Definition

Overload List

ForwardTransform(Matrix<T>)

Parameters

Return Value

Remarks

Exceptions

ForwardTransform(Matrix<Complex<T>>)

Parameters

Return Value

Exceptions

ForwardTransform<TStorage2D, TComplexStorage2D>(TStorage2D, Array2D<Complex<T>>)

Parameters

Type Parameters

Remarks

Exceptions

ForwardTransform(DenseMatrix<T>, ComplexConjugateSignalMatrix<T>)

Parameters

Remarks

Exceptions

ForwardTransform(DenseMatrix<Complex<T>>, DenseMatrix<Complex<T>>)

Parameters

Exceptions

ForwardTransform<TStorage2D>(TStorage2D, TStorage2D)

Parameters

Type Parameters

Exceptions

ForwardTransform(Matrix<T>, Matrix<Complex<T>>)

Parameters

Remarks

Exceptions

ForwardTransform(Matrix<Complex<T>>, Matrix<Complex<T>>)

Parameters

Exceptions

ForwardTransform(ReadOnlySpan2D<T>, Span2D<Complex<T>>)

Parameters

ForwardTransform(ReadOnlySpan2D<Complex<T>>, Span2D<Complex<T>>)

Parameters

ForwardTransform(Matrix<T>, Matrix<Complex<T>>, RealFftFormat)

Parameters

Remarks

Exceptions

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

Parameters

Remarks

Exceptions

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

Parameters

See Also

Reference