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Home MathPack Fourier Properties PowerSpec
See also: RMS, Magnitude, Phase, RealSpec, ImagSpec, PowerMax, FreqOfLine, LineOfFreq 

PowerSpec

Unit:SDL_fourier
Class:TFastFourier
Declaration:property PowerSpec[ix: integer]: double;

The readonly array property PowerSpec provides access to the one-sided (unscaled) power spectrum. The index ix may assume values between 0 and SpectrumSize div 2. Accessing any value of the array below 0 and above SpectrumSize div 2 will result in a zero value on read. PowerSpec[0] returns the constant coefficient a0, the first harmonic is returned in PowerSpec[1] and so on.

Hint: Please note the subtle realtionship between the PowerSpec and the Magnitude property. Since the power spectrum returns the one-sided spectrum (adding up both positive and negative frequencies) the relationship is

PowerSpec[i] := SpectrumSize * sqr(Magnitude[i]) / 2;

Note: Feeding very large numbers (> 10150) to the Fourier transformation routine may result in a floating point overflow when retrieving the power spectrum. These floating point limitations are not trapped by the component for efficiency reasons.

Example: This property is used in the following example program (see http://www.lohninger.com/examples.html for downloading the code): fft


Last Update: 2023-Dec-13