SignalMath.FourierTransform Method

Definition

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

Overload List

FourierTransform<T>(Vector<T>)	Computes the forward discrete Fourier transform of a real-valued vector and returns the result.
FourierTransform<T>(Vector<Complex<T>>)	Computes the forward discrete Fourier transform of a complex-valued vector and returns the result.
FourierTransform<T>(ReadOnlySpan<T>, Span<Complex<T>>)	Computes the forward discrete Fourier transform of a real signal.
FourierTransform<T>(ReadOnlySpan<Complex<T>>, Span<Complex<T>>)	Computes the forward discrete Fourier transform of a complex signal.
FourierTransform<T>(Vector<T>, Vector<Complex<T>>)	Computes the forward discrete Fourier transform of a real-valued vector.
FourierTransform<T>(Vector<Complex<T>>, Vector<Complex<T>>)	Computes the forward discrete Fourier transform of a complex-valued vector.
FourierTransform<T>(Int32, ReadOnlySpan<T>, Int32, Span<Complex<T>>, Int32)	Computes the forward discrete Fourier transform of a real signal.
FourierTransform<T>(Int32, ReadOnlySpan<Complex<T>>, Int32, Span<Complex<T>>, Int32)	Computes the forward discrete Fourier transform of a complex signal.

FourierTransform<T>(Vector<T>)

Computes the forward discrete Fourier transform of a real-valued vector and returns the result.

public static Vector<Complex<T>> FourierTransform<T>(
	Vector<T> input
)

Visual Basic

Public Shared Function FourierTransform(Of T) ( 
	input As Vector(Of T)
) As Vector(Of Complex(Of T))

C++/CLI

public:
generic<typename T>
static Vector<Complex<T>>^ FourierTransform(
	Vector<T>^ input
)

static member FourierTransform : 
        input : Vector<'T> -> Vector<Complex<'T>>

Parameters

input Vector<T>: The real-valued input vector.

Type Parameters

T: The element type (double or float).

Return Value

Vector<Complex<T>>
A complex-valued vector containing the frequency spectrum.

Exceptions

ArgumentNullException

Thrown when input is null.

FourierTransform<T>(Vector<Complex<T>>)

Computes the forward discrete Fourier transform of a complex-valued vector and returns the result.

public static Vector<Complex<T>> FourierTransform<T>(
	Vector<Complex<T>> input
)

Visual Basic

Public Shared Function FourierTransform(Of T) ( 
	input As Vector(Of Complex(Of T))
) As Vector(Of Complex(Of T))

C++/CLI

public:
generic<typename T>
static Vector<Complex<T>>^ FourierTransform(
	Vector<Complex<T>>^ input
)

static member FourierTransform : 
        input : Vector<Complex<'T>> -> Vector<Complex<'T>>

Parameters

input Vector<Complex<T>>: The complex-valued input vector.

Type Parameters

T: The element type (double or float).

Return Value

Vector<Complex<T>>
A complex-valued vector containing the frequency spectrum.

Exceptions

ArgumentNullException

Thrown when input is null.

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

Computes the forward discrete Fourier transform of a real signal.

public static void FourierTransform<T>(
	ReadOnlySpan<T> realInput,
	Span<Complex<T>> result
)

Visual Basic

Public Shared Sub FourierTransform(Of T) ( 
	realInput As ReadOnlySpan(Of T),
	result As Span(Of Complex(Of T))
)

C++/CLI

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

static member FourierTransform : 
        realInput : ReadOnlySpan<'T> * 
        result : Span<Complex<'T>> -> unit

Parameters

realInput ReadOnlySpan<T>: A read-only span containing the real input signal.
result Span<Complex<T>>: A span to hold the complex-valued frequency spectrum.

Type Parameters

T: The element type (double or float).

Exceptions

ArgumentException

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

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

Computes the forward discrete Fourier transform of a complex signal.

public static void FourierTransform<T>(
	ReadOnlySpan<Complex<T>> complexInput,
	Span<Complex<T>> result
)

Visual Basic

Public Shared Sub FourierTransform(Of T) ( 
	complexInput As ReadOnlySpan(Of Complex(Of T)),
	result As Span(Of Complex(Of T))
)

C++/CLI

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

static member FourierTransform : 
        complexInput : ReadOnlySpan<Complex<'T>> * 
        result : Span<Complex<'T>> -> unit

Parameters

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

Type Parameters

T: The element type (double or float).

Exceptions

ArgumentException

Thrown when the input and result dimensions do not match.

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

Computes the forward discrete Fourier transform of a real-valued vector.

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

Visual Basic

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

C++/CLI

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

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

Parameters

input Vector<T>: The real-valued input vector.
output Vector<Complex<T>>: The complex-valued output vector to hold the frequency spectrum.

Type Parameters

T: The element type (double or float).

Exceptions

ArgumentNullException	Thrown when input or output is null.
ArgumentException	Thrown when the output vector length does not match the expected spectrum size.

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

Computes the forward discrete Fourier transform of a complex-valued vector.

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

Visual Basic

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

C++/CLI

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

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

Parameters

input Vector<Complex<T>>: The complex-valued input vector.
output Vector<Complex<T>>: The complex-valued output vector to hold the frequency spectrum.

Type Parameters

T: The element type (double or float).

Exceptions

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

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

Computes the forward discrete Fourier transform of a real signal.

public static void FourierTransform<T>(
	int length,
	ReadOnlySpan<T> realInput,
	int inputStride,
	Span<Complex<T>> result,
	int resultStride
)

Visual Basic

Public Shared Sub FourierTransform(Of T) ( 
	length As Integer,
	realInput As ReadOnlySpan(Of T),
	inputStride As Integer,
	result As Span(Of Complex(Of T)),
	resultStride As Integer
)

C++/CLI

public:
generic<typename T>
static void FourierTransform(
	int length, 
	ReadOnlySpan<T> realInput, 
	int inputStride, 
	Span<Complex<T>> result, 
	int resultStride
)

static member FourierTransform : 
        length : int * 
        realInput : ReadOnlySpan<'T> * 
        inputStride : int * 
        result : Span<Complex<'T>> * 
        resultStride : int -> unit

Parameters

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

Type Parameters

T: The element type (double or float).

Exceptions

ArgumentException

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

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

Computes the forward discrete Fourier transform of a complex signal.

public static void FourierTransform<T>(
	int length,
	ReadOnlySpan<Complex<T>> complexInput,
	int inputStride,
	Span<Complex<T>> result,
	int resultStride
)

Visual Basic

Public Shared Sub FourierTransform(Of T) ( 
	length As Integer,
	complexInput As ReadOnlySpan(Of Complex(Of T)),
	inputStride As Integer,
	result As Span(Of Complex(Of T)),
	resultStride As Integer
)

C++/CLI

public:
generic<typename T>
static void FourierTransform(
	int length, 
	ReadOnlySpan<Complex<T>> complexInput, 
	int inputStride, 
	Span<Complex<T>> result, 
	int resultStride
)

static member FourierTransform : 
        length : int * 
        complexInput : ReadOnlySpan<Complex<'T>> * 
        inputStride : int * 
        result : Span<Complex<'T>> * 
        resultStride : int -> unit

Parameters

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

Type Parameters

T: The element type (double or float).

Exceptions

ArgumentException

Thrown when the input and result dimensions do not match.

SignalMath.FourierTransform Method

Definition

Overload List

FourierTransform<T>(Vector<T>)

Parameters

Type Parameters

Return Value

Exceptions

FourierTransform<T>(Vector<Complex<T>>)

Parameters

Type Parameters

Return Value

Exceptions

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

Parameters

Type Parameters

Exceptions

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

Parameters

Type Parameters

Exceptions

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

Parameters

Type Parameters

Exceptions

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

Parameters

Type Parameters

Exceptions

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

Parameters

Type Parameters

Exceptions

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

Parameters

Type Parameters

Exceptions

See Also

Reference