A recursive discrete Fourier algorithm for filtering decaying DC component

Jiancheng Wang · Relay · 2005

To reduce computational complexity of the conventional full-wave Fourier algorithm,the recursive discrete Fourier algorithm is deduced,but it cannot completely filter decaying direct current component. For this reason,this paper presents a novel recursive algorithm.The novel algorithm is based on sum-and-difference formula of trigonometrical function and solution of linear equations,and its computational work is nearly same as that of traditional recursive algorithm.What′s more,it can eliminate the influence of the decaying direct current component on any harmonic component theoretically.

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