TVec.Hilbert Method

The fast hilbert transform (FFT based).

Pascal

function Hilbert(const Vec: TVec; const method: THilbertMethod = hmMethod1): TVec; overload;

Description

The method forms the imaginary orthogonal part (90 degrees phase shifted version of the original) from the real series by using the fast hilbert transform (FFT based) and saves the complex result in the calling vector. No windowing is performed. Vec must be a real vector or an exception is raised. The Length and TMtxVec.ComplexComplexproperties of the calling vector are set implicitly to match Vec vector.

See Also

FFT, DCT

Example

var a,b,Re,Im: TVec; azero: double; begin CreateIt(a,b,Re,Im); try a.SetIt(false,[1,2,3,4,5,6,7,8]); b.Hilbert(a); Re.RealPart(b); Im.ImagPart(b); azero := Re.DotProd(Im); // if Re is orthogonal to Im, azero becomes 0 finally FreeIt(a,b,Re,Im); end; end;

TVec Class, TVec Members, MtxVec Namespace, public, Example, See Also

What do you think about this topic? Send feedback!