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Rife-Vincent (I) Window Interpolated FFT Algorithm Based on Cubic Spline Function

In order to further improve the precision of harmonics measurement, the paper provides a new interpolation fast Fourier transform (FFT) algorithm based on RifeVincent (I) window. By using the cubic spline function to approach the ninth multinomial of frequency modification coefficient and the function of harmonic amplitude correction of the interpolation FFT algorithm based on RifeVincent (I) window, the computing speed has been improved. It can solve the contradiction between calculation accuracy and computational speed of windowed and interpolated FFT algorithm. The simulative results show that RifeVincent (I) window interpolation algorithm by using cubic spline function has the amplitude error less than 0.00001 %, the frequency error less than 0.000001 Hz, and the phase error less than 0.01%.