An interpolated FFT algorithm based on three-item cosine window
Bai Chun-tao
Abstract
Bai Chun-tao
Abstract
An interpolated FFT algorithm based on the trinomial cosine exact Blackman window is proposed.This paper first discusses the frequency response of the exact Blackman window,then derives the formulas of interpolated FFT algorithm based on the exact Blackman window in detail.T he cubic spline function is used to calculate correction factors for frequency and complex amplitude. Simulation results demonstrate that by using the cubic spline function,the amplitude error is less than 0.1 % ,the frequency error is less than 0.01Hz,a nd the phase error is less than 5%.T he new interpolated FFT algorithm proposed in this paper can effectively enhance the measuring accuracy of power system harmonics. I t has a good real-time performance with less calculations compared with other interpolated FFT algorithms based on quadrinomial cosine window.
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An interpolated FFT algorithm based on the trinomial cosine exact Blackman window is proposed.This paper first discusses the frequency response of the exact Blackman window,then derives the formulas of interpolated FFT algorithm based on the exact Blackman window in detail.T he cubic spline function is used to calculate correction factors for frequency and complex amplitude. Simulation results demonstrate that by using the cubic spline function,the amplitude error is less than 0.1 % ,the frequency error is less than 0.01Hz,a nd the phase error is less than 5%.T he new interpolated FFT algorithm proposed in this paper can effectively enhance the measuring accuracy of power system harmonics. I t has a good real-time performance with less calculations compared with other interpolated FFT algorithms based on quadrinomial cosine window.
Key concepts: Fast Fourier transform, Window function, Trigonometric functions, Algorithm, Trinomial, Mathematics, Harmonics, Window (computing)