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Wyszukujesz frazę "complexity reduction" wg kryterium: Temat


Wyświetlanie 1-7 z 7
Tytuł:
A Hardware-Efficient Structure of Complex Numbers Divider
Autorzy:
Cariow, A.
Cariowa, G.
Powiązania:
https://bibliotekanauki.pl/articles/114589.pdf
Data publikacji:
2017
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
complex-number divider
hardware complexity reduction
VLSI implementation
Opis:
In this correspondence an efficient approach to structure of hardware accelerator for calculating the quotient of two complex-numbers with reduced number of underlying binary multipliers is presented. The fully parallel implementation of a complex-number division using the conventional approach to structure organization requires 4 multipliers, 3 adders, 2 squarers and 2 divider while the proposed structure requires only 3 multipliers, 6 adders, 2 squarers and 2 divider. Because the hardware complexity of a binary multiplier grows quadratically with operand size, and the hardware complexity of an binary adder increases linearly with operand size, then the complex-number divider structure containing as little as possible embedded multipliers is preferable.
Źródło:
Measurement Automation Monitoring; 2017, 63, 6; 212-213
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An FPGA-oriented fully parallel algorithm for multiplying dual quaternions
Autorzy:
Cariow, A.
Cariowa, G.
Witczak, M.
Powiązania:
https://bibliotekanauki.pl/articles/114212.pdf
Data publikacji:
2015
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
dual quaternion product
fast algorithms
hardware complexity reduction
FPGA
Opis:
This paper presents a low multiplicative complexity fully parallel algorithm for multiplying two dual quaternions. The “pen-and-paper” multiplication of two dual quaternions requires 64 real multiplications and 56 real additions. More effective solutions still do not exist. We show how to compute a product of two dual quaternions with 24 real multiplications and 64 real additions. During synthesis of the discussed algorithm we use the fact that the product of two dual quaternions can be represented as a matrix–vector product. The matrix multiplicand that participates in the product calculating has unique structural properties that allow performing its advantageous factorization. Namely this factorization leads to significant reducing of the multiplicative complexity of dual quaternion multiplication. We show that by using this approach, the computational process of calculating dual quaternion product can be structured so that eventually requires only half the number of multipliers compared to the direct implementation of matrix-vector multiplication.
Źródło:
Measurement Automation Monitoring; 2015, 61, 7; 370-372
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hardware-efficient algorithms for implementation of the GHM discrete multiwavelet transform kernels
Autorzy:
Cariow, A.
Cariowa, G.
Powiązania:
https://bibliotekanauki.pl/articles/114256.pdf
Data publikacji:
2016
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
multiwavelets
GHM
fast algorithms
implementation complexity reduction
FPGA implementation
Opis:
In this correspondence, we discuss two efficient algorithms for the execution of forward (FDMWT) and inverse (IDMWT) discrete multiwavelet transform basic operations with reduced computational complexities. We used multiwavelet basis proposed by Geronimo, Hadrin, and Massopust (GHM). The direct implementation of GHM-FDMWT basic operation requires 23 multiplications and 19 additions. The direct implementation of GHM-IDMWT basic operation requires 23 multiplication and 16 additions. At the same time, our solutions allow designing the computation procedures, which take only 10 multiplications plus 15 additions for GHM-FDMWT basic operation and 10 multiplications plus 10 additions for GHM-IDMWT basic operation
Źródło:
Measurement Automation Monitoring; 2016, 62, 6; 190-192
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some Schemes for Implementation of Arithmetic Operations with Complex Numbers Using Squaring Units
Autorzy:
Cariow, A.
Cariowa, G.
Powiązania:
https://bibliotekanauki.pl/articles/114347.pdf
Data publikacji:
2017
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
complex number arithmetic
squaring unit
implementation complexity reduction
hardware implementation
Opis:
In this paper, new schemes for a squarer, multiplier and divider of complex numbers are proposed. Traditional structural solutions for each of these operations require the presence of some number of general-purpose binary multipliers. The advantage of our solutions is a removing of multiplications through replacing them by less costly squarers. We use Logan's trick and quarter square technique, which propose to replace the calculation of the product of two real numbers by summing the squares. Replacing usual multipliers with digital squares implies the reducing power consumption as well as decreases the complexity of the hardware circuit. The squarer requiring less area and power as compared to general-purpose multiplier, it is interesting to assess the use of squarers to implementation of complex arithmetic.
Źródło:
Measurement Automation Monitoring; 2017, 63, 6; 209-211
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Basic Aspects of Designing a High-performance Processor Structure for Calculating a "true" Discrete Fractional Fourier Transform
Autorzy:
Cariow, A.
Majorkowska-Mech, D.
Powiązania:
https://bibliotekanauki.pl/articles/114579.pdf
Data publikacji:
2018
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
discrete fractional Fourier transform
parallelization of computations
hardware implementation
complexity reduction
Opis:
This paper presents a basic aspects of structural design of the highperformance processor for implementation of discrete fractional Fourier transform (DFrFT). The general idea of the possibility of parallelizing the calculation of the so-called “true” discrete Fourier transform on the basis of our previously developed algorithmic approach is presented. We specifically focused only on the general aspects of the organization of the structure of such a processor, since the details of a particular implementation always depend on the implementation platform used, while the general idea of constructing the structure of the processor remains unchanged.
Źródło:
Measurement Automation Monitoring; 2018, 64, 2; 43-45
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hardware-Efficient Schemes of Quaternion Multiplying Units for 2D Discrete Quaternion Fourier Transform Processors
Autorzy:
Cariow, A.
Cariowa, G.
Chicheva, M.
Powiązania:
https://bibliotekanauki.pl/articles/114724.pdf
Data publikacji:
2017
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
discrete quaternion Fourier transform
fast algorithms
implementation complexity reduction
FPGA implementation
Opis:
In this paper, we offer and discuss three efficient structural solutions for the hardware-oriented implementation of discrete quaternion Fourier transform basic operations with reduced implementation complexities. The first solution – a scheme for calculating sq product, the second solution – a scheme for calculating qt product, and the third solution – a scheme for calculating sqt product, where s is a so-called i -quaternion, t is an j - quaternion, and q – is an usual quaternion. The direct multiplication of two usual quaternions requires 16 real multiplications (or two-operand multipliers in the case of fully parallel hardware implementation) and 12 real additions (or binary adders). At the same time, our solutions allow to design the computation units, which consume only 6 multipliers plus 6 two input adders for implementation of sq or qt basic operations and 9 binary multipliers plus 6 two-input adders and 4 four-input adders for implementation of sqt basic operation.
Źródło:
Measurement Automation Monitoring; 2017, 63, 6; 206-208
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hardware-Efficient Structure of the Accelerating Module for Implementation of Convolutional Neural Network Basic Operation
Autorzy:
Cariow, A.
Cariowa, G.
Powiązania:
https://bibliotekanauki.pl/articles/114320.pdf
Data publikacji:
2018
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
convolution neural network
Winograd’s minimal filtering
algorithm
implementation complexity reduction
FPGA implementation
Opis:
This paper presents a structural design of the hardware-efficient module for implementation of convolution neural network (CNN) basic operation with reduced implementation complexity. For this purpose we utilize some modification of the Winograd’s minimal filtering method as well as computation vectorization principles. This module calculate inner products of two consecutive segments of the original data sequence, formed by a sliding window of length 3, with the elements of a filter impulse response. The fully parallel structure of the module for calculating these two inner products, based on the implementation of a naïve method of calculation, requires 6 binary multipliers and 4 binary adders. The use of the Winograd’s minimal filtering method allows to construct a module structure that requires only 4 binary multipliers and 8 binary adders. Since a high-performance convolutional neural network can contain tens or even hundreds of such modules, such a reduction can have a significant effect.
Źródło:
Measurement Automation Monitoring; 2018, 64, 2; 40-42
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-7 z 7

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