An Interpolation FFT Algorithm with High Accuracy

Abstract:

To further improving the precision of harmonics measurement, a new interpolation FFT algorithm based on Rife–Vincent (I) window is provided in this paper. First the spectrum leakage of FFT briefly and the frequency response of the Class I Rife- Vincent window is discussed, and then paper analyzes the interpolation algorithm on Rife–Vincent (I) window in detail. At last the cubic spine function is adopted to calculate the frequency and the harmonic amplitude modification coefficient. An example of simulation is given, and simulative calculation results show that Rife–Vincent (I) window interpolation algorithm by using cubic spine function has the amplitude error less than 1×10-6 % , the frequency error less than 1×10-7Hz, and the phase error less than 0.0001%. Comparing with other cosine windows interpolation FFT algorithm, the new interpolation FFT algorithm based on Rife–Vincent (I) window has the highest accuracy.

• Periodical: Advanced Materials Research (Volumes 524-527)
• Pages: 3838-3844
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.524-527.3838
• Online since: May 2012
• Authors: Shou Ming Liu, Hong Wei Shi, Yan Jiang, Xu Min, Gen Yong Chen
• Keywords: Cubic Spine Function, Interpolation FFT Algorithm, Power System Harmonics, Rife–Vincent (I) Window, Spectrum Leakage

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