Fourier Analysis and Signal Mobius Inversion Formula Processing by Use of the
I.S. Reed, D.W. Tufts, Xiaoli Yu, T. K. Truong, M.C. Shih, Xiaowei Yin · 1990
In this paper, a new Fourier technique for digital signal processing is developed. This approach to Fourier analysis is based on the number-theoretic method of the Miihius inversion of series. The Fourier transform method developed in this paper is shown also to yield the convolution of two signals. A computer simulation shows that this method to find Fourier coefficients is quite suitable for digital signal processing. Also, it competes with the classical FFT approach in terms of accuracy, complexity, and speed.