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1
Content available Application of modular computing technique for high speed implementation of cyclic convolution
Selyaninov M.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2014
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Vol. 19
217--226
EN
This article is a continuation of research on the modular computing structures defined on the set of polynomials over finite rings of integers. Advantages of minimal redundant polynomial-scalar modular number system are demonstrated on the example of computing cyclic convolution of discrete signals. Methods of execution of ring arithmetical operations as well as coding and decoding operations are considered.
2
Content available Modular technique of high-speed parallel computing on the sets of polynomials
Selyaninov M.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2012
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Vol. 17
69-76
EN
In this paper we present the modular computing structures (MCS) defined on the set of polynomials over finite rings of integers. This article is a continuation of research on the development of modular number systems (MNS) on arbitrary mathematical structures such as finite groups, rings and Galois fields [1-7].
3
Content available Arithmetic of quadratic minimal redundant modular number systems
Selyaninov M.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2011
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Vol. 16
129--134
EN
In this paper, research in the field of modular computing structures defined on sets of Gaussians are presented. The basis of the qualitatively new technique for the organization of high-speed parallel computations in a complex plane is presented by quadratic minimum redundant modular number systems (QMRMNS).
4
Content available Modular number systems in the complex plane
Selyaninov M.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2010
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Vol. 15
131--138
EN
In the present paper, we consider methods of constructing modular number systems (MNS), named also as residue number systems, in the complex plane. The structure of complete sets of residues (CSR) with respect to complex modulo is investigated. For its creation, the effective constructive rule realizing isomorphism of the given CSR and an adequate ring of real integer residues is proposed.
5
Content available Construction of modular number systems with arbitrary finite ranges
Selyaninov M.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2009
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Vol. 14
105-115
EN
In the present paper, we deal with the methodology of constructing modular number systems (MNS), named also residue number systems, on arbitrary mathematical structures such as finite groups, rings and Galois fields.
6
Content available remote Modular technique of parallel information processing
Selyaninov M.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2008
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Vol. 13
43-52
EN
In the present paper, modular number systems (MNS) named also as residue number systems are investigated. Iii such systems, digits of output computation of arithmetical operations over two and more numbers are formed only by analogous digits of these numbers that is in parallel. Because of internal parallelism and short bit capacity of modular data encoding, specified property of MNS enables real possibility of creation on their basis of high-speed specialized data processors.
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