Vector.InverseFourierTransform<T> Method

public static DenseVector<T> InverseFourierTransform<T>(
	Vector<Complex<T>> vector
)

Public Shared Function InverseFourierTransform(Of T) ( 
	vector As Vector(Of Complex(Of T))
) As DenseVector(Of T)

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

static member InverseFourierTransform : 
        vector : Vector<Complex<'T>> -> DenseVector<'T> 

Parameters

vector  Vector<Complex<T>>

A complex vector.

Type Parameters

T

Return Value

This method returns the real part of the inverse transform. If the length of vector is odd, then only the first half of vector is used in the calculation.

The Fourier transform of a real vector has a certain symmetry: it is equal to the conjugate of the same vector with its elements in reverse order. If vector does not have this symmetry, then the inverse transform has a nonzero imaginary part, and this method will return a wrong or incomplete result. Use the InverseComplexFourierTransform<T>(Vector<Complex<T>>) to obtain the full, complex inverse Fourier transform of a complex vector.

Reference