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Fourier analysis and signal processing by use of the Mobius inversion formula

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6 Author(s)
Reed, Irving S. ; Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA, USA ; Tufts, D.W. ; Yu, X. ; Truong, T.K.
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A novel Fourier technique for digital signal processing is developed. This approach to Fourier analysis is based on the number-theoretic method of the Mobius inversion of series. The Fourier transform method developed is shown also to yield the convolution of two signals. A computer simulation shows that this method for finding Fourier coefficients is quite suitable for digital signal processing. It competes with the classical FFT (fast Fourier transform) approach in terms of accuracy, complexity, and speed

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Acoustics, Speech and Signal Processing, IEEE Transactions on  (Volume:38 ,  Issue: 3 )