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Języki publikacji
Abstrakty
Spectral methods constitute a useful tool in the analysis and synthesis of Boolean functions, especially in cases when other methods reduce to brute-force search procedures. There is renewed interest in the application of spectral methods in this area, which extends also to the closely connected concept of the autocorrelation function, for which spectral methods provide fast calculation algorithms. This paper discusses the problem of spectral decomposition of Boolean functions using the Walsh transform and autocorrelation characteristics.
Rocznik
Tom
Strony
271--278
Opis fizyczny
Bibliogr. 27 poz., rys., tab.
Twórcy
autor
- Institute of Informatics, University of Silesia, ul. Będzińska 39, 41–200 Sosnowiec, Poland
autor
- Department of Computer Science, Faculty of Electronics, University of Niš, Beogradska 14, 18 000 Niš, Serbia
Bibliografia
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- [3] Dubrova E. (1999): AOXMIN-MV: A heuristic algorithm for AND-OR-XOR minimization. - Proc. Int. Workshop Applications of Reed-Muller Expansion in Circuit Design, RM'99, Victoria, Canada, pp. 37-53.
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- [5] Bertacco V. and Damiani M. (1997): The disjunctive decomposition of logic functions.-Proc. Computer-Aided Design, ICCAD'97, San Jose, CA, pp. 78-82.
- [6] Falkowski B.J. and Kannurao S. (2001): Analysis of disjunctive decomposition of balanced Boolean functions through Walsh spectrum. - IEE Proc. Comput. Digit. Techn., Vol. 148, No. 2, pp. 71-78.
- [7] Falkowski B.J. and Porwik P. (1999): Evaluation of nonlinearity in Boolean functions by extended Walsh-Hadamard transform.- Proc. 2nd Int. Conf. Information Communications and Signal Processing, ICISC'99, Singapore, paper 2B2.2, pp. 1-4.
- [8] Hurst S.L., Miller D.M. and Muzio J.C. (1985): Spectral Techniques in Digital Logic. -London: Academic Press.
- [9] Karpovsky M.G. (1976): Finite Orthogonal Series in the Design of Design of Digital Devices. - New York: Wiley.
- [10] Karpovsky M.G., Stankovi´c R.S. and Astola J.T. (2003): Reduction of size decision diagrams by autocorrelation functions. -IEEE Trans. Comput., Vol. 52, No. 5, pp. 592-606.
- [11] Lai Y., Pedram M. and Vrudhula S. (1993): BDD based decomposition of logic function with application to FPGA synthesis. - Proc. 30-th Conf. Design Automation, DAC'93, Dallas, Texas, pp. 642-647.
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- [13] Mishchenko A., Steinbach B. and Perkowski M. (2001): An algorithm for bi-decomposition of logic functions. - Proc. 38-th Conf. Design Automation, DAC'01, Las Vegas, NV, pp. 103-108.
- [14] Nowicka M., Rawski M. and Łuba T. (1999): DEMAIN - An interactive tool for FPGA-based logic decomposition. - Proc. 6-th Int. Conf. Mixed Design of Integrated Circuits and Systems, Cracow, Poland, pp. 115-120.
- [15] Porwik P. (2003): The spectral test of the Boolean function linearity. - Int. J. Appl. Math. Comput. Sci., Vol. 13, No. 4, pp. 567-575.
- [16] Porwik P. (2004a): Efficient spectral method of identification of linear Boolean function. - Int. J. Contr. Cybern., Vol. 33, No. 4, pp. 663-678.
- [17] Porwik P. (2004b): Walsh coefficients distribution for some types of Boolean function. - Arch. Theoret. Appl. Informat., Vol. 16, No. 2, pp. 109-120.
- [18] Rawski M., Jóźwiak L. and Łuba T. (2001): Functional decomposition with an efficient input support selection for subfunctions based on information relationship measures. - J. Syst. Archit., Vol. 47, Elsevier Science, pp. 137-155.
- [19] Rice J. and Muzio J.C. (2003): On the use of autocorrelation coefficients in the identification of three-level decompositions. - Proc. Int. Workshop Logic Synthesis, IWLS'03, Laguna Beach, CA, pp. 187-191.
- [20] Stanković R.S. and Astola J.T., (2003): Spectral Interpretation of Decision Diagram. -New York: Springer.
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- [22] Sasao T. and Butler J.T. (1997): On bi-decomposition of logic functions. - Proc. Int. Workshop Logic Synthesis, Lake Tahoe, CA, Vol. 2, pp. 1-6.
- [23] Sasao T. and Matsuura M. (2004): A method to decompose multiple-output logic functions. - Proc. 41-th Conf. Design Automation, DAC'04, San Diego, CA, pp. 428-433.
- [24] Tokmen V.H. (1980): Disjoint decomposability of multi-valued functions by spectral means. - Proc. IEEE 10-th Int. Symp. Multiple-Valued Logic, New York, USA, pp. 88-93.
- [25] Tomczuk R. (1996): Autocorrelation and decomposition methods in combinational logic design. - Ph.D. thesis, University of Victoria, Victoria, Cadada.
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- [27] Yaroslavsky L. (2003): Digital Image Processing. - Boston, MA: Kluwer Academic Publisher.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ1-0028-0024