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Computer implementation of efficient discrete-convolution algorithms

  • Software-Hardware Systems
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Cybernetics and Systems Analysis Aims and scope

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References

  1. V. K. Zadiraka, Theory of Evaluation of Fourier Transform [in Russian], Naukova Dumka, Kiev (1983).

    Google Scholar 

  2. I. Ya. Akushskii and D. I. Yuditskii, Machine Arithmetic in Residue Classes [in Russian], Sovetskoe Radio, Moscow (1968).

    Google Scholar 

  3. D. Knuth, The Art of Computer Programming [Russian translation], Vol. 2, Mir, Moscow (1978).

    Google Scholar 

  4. I. M. Vinogradov, Fundamentals of Number Theory [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  5. L. Rabiner and B. Gold, Theory and Application of Digital Signal Processing, Prentice-Hall, Englewood Cliffs, NJ (1975).

    Google Scholar 

  6. H. Nussbaumer, Fast Fourier Transform and Convolution Algorithms, Springer, New York (1982).

    Google Scholar 

  7. J. H. McClellan and C. M. Rader, Number Theory in Digital Signal Processing, Prentice-Hall, Englewood Cliffs, NJ (1979).

    Google Scholar 

  8. R. E. Blahut, Fast Algorithms for Digital Signal Processing, Addison-Wesley, Reading, MA (1985).

    Google Scholar 

  9. L. V. Varichenko, V. G. Labunets, and M. A. Rakov, Abstract Algebraic Systems and Digital Signal Processing [in Russian], Naukova Dumka, Kiev (1986).

    Google Scholar 

  10. E. Dubois and A. N. Venetsapoulos, “Number theoretic transforms with modulus 22q−2q+1,” IEEE 1978 Int. Acoustics, Speech and Signal Processing Conf. Proc. (1978), pp. 624–627.

  11. G. Martinelli, P. Burrascano, G. C. Cardarilli, et al., “RNS Fourier transforms,” IEEE Trans. Comput., 1427–1430 (1988).

  12. S. C. Lee and H. Lu, “Fast convolution using generalized Fermat/Mersenne number tranforms,” IEEE Trans. Comput., 1910–1913 (1988).

  13. L. S. Danil'chenko, V. K. Zadiraka, and E. A. Melekhina, “Comparative analysis of some number-theoretic convolution transforms by volume of computation,” in: Methods and Microelectronic Tools of Digital Transformation and Processing of Signals [in Russian], Elektronika i Vych. Tekhnika Akad. Nauk LatvSSR, Riga (1986), pp. 168–172.

    Google Scholar 

  14. V. K. Zadiraka, “Software for digital signal processing,” USiM, No. 2, 107–110 (1987).

    Google Scholar 

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Authors
  1. V. K. Zadiraka
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  2. É. A. Melekhina
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Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 129–139, January–February, 1994.

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Zadiraka, V.K., Melekhina, É.A. Computer implementation of efficient discrete-convolution algorithms. Cybern Syst Anal 30, 106–114 (1994). https://doi.org/10.1007/BF02366370

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  • DOI: https://doi.org/10.1007/BF02366370

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