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ASSP Magazine, IEEE

Issue 1 • Date Jan. 1988

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  • The unreasonable effectiveness of number theory in science and communication (1987 Rayleigh Lecture)

    Publication Year: 1988 , Page(s): 5 - 12
    Cited by:  Papers (3)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (1099 KB)  

    A brief overview is given of the role of integers and integer relationships in the science. The effectiveness of discrete mathematics in physics, music, and communication (and its negation, cryptography) is examined. The discussion covers: numbers and musical scales; concert halls and quadratic residues; wave diffraction and primitive roots; forbidding property of Fermat primes; Euler totients and... View full abstract»

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  • The arithmetic Fourier transform

    Publication Year: 1988 , Page(s): 13 - 17
    Cited by:  Papers (1)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandAbstract | PDF file iconPDF (620 KB)  

    Preliminary results are presented on the VLSI design and implementation of a novel algorithm for accurate high-speed Fourier analysis and synthesis. The arithmetic Fourier transform (AFT) is based on the number-theoretic method of Mobius inversion. Its computations proceed in parallel, and the individual operations are very simple. Except for a small number of scalings in one state of the computat... View full abstract»

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This Magazine ceased production in 1990. The current retitled publication is IEEE Signal Processing Magazine.

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