TSparseMtx.PowerSpectrum Method

function PowerSpectrum(const Vec: TMtxVec): TMtxVec;

The power spectrum from object complex values.

#	Name	Type	Description
1	Vec	TMtxVec	source TVec or TMtx

Result: stored in self (calling object), returns self for chaining

Remarks:

Calculates the power spectrum from the Vec object complex values and stores the results (power spectrum) in the real calling object. Size and TMtxVec.Complex properties of the calling object are set implicitly to match Vec object. The spectrum elements are squares of the magnitudes of the complex input elements:

\text{Spect}[k] = \left(\Re (\text{Vec}[k]) \right)^2 + \left(\Im (\text{Vec}[k]) \right)^2

Examples

var a,b: Matrix;
begin
    a.SetIt(1,2,True,[1,2,3,-4]); // a = [1 + 2i, 3 - 4i]
    b.PowerSpectrum(a);   // b = [1*1 + 2*2, 3*3+(-4)*(-4)]
end;

Indexed: function PowerSpectrum(const Vec: TMtxVec; VecIndex: Integer; Index: Integer; Len: Integer): TMtxVec;

Calculates the power spectrum from the Vec complex elements [VecIndex]..[VecIndex+Len-1].

#	Name	Type	Description
1	Vec	TMtxVec	source TVec or TMtx
2	VecIndex	Integer
3	Index	Integer	start index
4	Len	Integer	element count

Result: stored in self (calling object), returns self for chaining

Remarks:

Store the results in calling object real elements [Index]..[Index+Len-1]. An exception is raised if calling object TMtxVec.Complex property is true or if array borders are overrun/underrun.