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Wyszukujesz frazę "Residue Number System" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Scaled residue reverse converter for signed numbers with low cost moduli base
Autorzy:
Czyżak, Maciej
Smyk, Robert
Powiązania:
https://bibliotekanauki.pl/articles/376503.pdf
Data publikacji:
2019
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
residue number system
residue reverse conversion
scaling
low-cost moduli
Opis:
The paper presents a realization of the scaled residue reverse converter for the low cost moduli base {2n -1,2n ,2n+1} . The moduli of this type allow for the memoryless reverse conversion using the Chinese Remainder Theorem because the orthogonal projections can be obtained by shifts and additions. Moreover, the modulo reduction of the sum of projections and sign detection algorithms are shown. Also the converter architecture is presented.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2019, 98; 101-114
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pipelined division of signed numbers with the use of residue arithmetic in FPGA
Autorzy:
Czyżak, M.
Smyk, R.
Ulman, Z.
Powiązania:
https://bibliotekanauki.pl/articles/97191.pdf
Data publikacji:
2013
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
residue number system
division
multiplicative division algorithm
scaling
FPGA
Opis:
An architecture of a pipelined signed residue divider for small number ranges is presented. The divider makes use of the multiplicative division algorithm where initially the reciprocal of the divisor is calculated and subsequently multiplied by the dividend. The divisor represented in the signed binary form is used to compute the approximated reciprocal in the residue form by the table look-up. In order to reduce the needed length of the look-up table address, a reciprocal computation algorithm based on segmentation of the divisor into two segments is used. The signed approximate reciprocal, transformed to the residue representation, is stored in look-up tables division and multiplied by the dividend in the residue form. The obtained quotient is scaled. The pipelined realization of the divider in the FPGA environment is also shown.
Źródło:
Computer Applications in Electrical Engineering; 2013, 11; 455-464
1508-4248
Pojawia się w:
Computer Applications in Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Scaling of signed residue numbers with mixed-radix conversion in FPGA with extended scaling factor selection
Autorzy:
Smyk, R.
Czyżak, M.
Ulman, Z.
Powiązania:
https://bibliotekanauki.pl/articles/97226.pdf
Data publikacji:
2013
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
residue number system
RNS
scaling
scaling algorithms
mixed-radix system
MRS
FPGA
Opis:
A scaling technique of signed residue numbers in FPGA is proposed. The technique is based on conversion of residue numbers to the Mixed-Radix System (MRS). The scaling factor is assumed to be a moduli product from the Residue Number System (RNS) base. Scaling is performed by scaling of MRS terms, the subsequent generation of residue representations of scaled terms, binary addition of these representations and generation of residues for all moduli. The sign of the residue number is detected by using the most significant digit of the MRS representation. Basic blocks of the scaler are realized in the form of modified two-operand modulo adders with included additional multiply and modulo reduction operations. An exemplary pipelined realization of the scaler in the Xilinx FPGA environment is shown. The design is based on Look-Up Tables (LUT)(2,sup>6 x 1) that simulate small RAMs which serve as main components for the look-up realization. Also a method is shown that allows for flexible selection of scaling factors from a set of moduli products of the RNS base. This is made by forming auxiliary MRSs by permutation of moduli of the base. All formed MRSs are associated with the given RNS with respect to the base but each MRS has different set of weights. Thus for the required scaling factor, the suitable MRS can be chosen that provides for the scaling error smaller than 1.
Źródło:
Computer Applications in Electrical Engineering; 2013, 11; 465-477
1508-4248
Pojawia się w:
Computer Applications in Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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