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Zbl 0701.94001
Reed, Irving S.; Tufts, Donald W.; Yu, Xiaoli; Truong, T.K.; Shih, Ming- Tang; Yin, Xiaowei
Fourier analysis and signal processing by use of the Möbius inversion formula. (English)
[J] IEEE Trans. Acoust. Speech Signal Process. 38, No.3, 458-470 (1990). ISSN 0096-3518

Summary: 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 Möbius 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.

MSC 2000:: *94A11 Application of orthogonal functions in communication

Keywords: Fourier technique for digital signal processing; number-theoretic method of the Möbius inversion of series; convolution of two signals; FFT

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