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20022026
most citedGeneralised framework for multi-criteria method selection

531 citations

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5 papers · 1 filter

cs.DS2017★ 1 cited

Hardware-Efficient Schemes of Quaternion Multiplying Units for 2D Discrete Quaternion Fourier Transform Processors

Aleksandr Cariow, Galina Cariowa, Marina Chicheva

In this paper, we offer and discuss three efficient structural solutions for the hardware-oriented implementation of discrete quaternion Fourier transform basic operations with red…

cs.DS2015

An algorithm for discrete fractional Hadamard transform

Aleksandr Cariow, Dorota Majorkowska-Mech

We present a novel algorithm for calculating the discrete fractional Hadamard transform for data vectors whose size N is a power of two. A direct method for calculation of the disc…

cs.DS2015★ 11 cited

Derivation of a low multiplicative complexity algorithm for multiplying hyperbolic octonions

Aleksandr Cariow, Galina Cariowa, Jaroslaw Knapinski

We present an efficient algorithm to multiply two hyperbolic octonions. The direct multiplication of two hyperbolic octonions requires 64 real multiplications and 56 real additions…

cs.DS2015★ 1 cited

A new algorithm for multiplying two Dirac numbers

Aleksandr Cariow, Galina Cariowa

In this work a rationalized algorithm for Dirac numbers multiplication is presented. This algorithm has a low computational complexity feature and is well suited to FPGA implementa…

cs.DS2014★ 1 cited

A Hardware-oriented Algorithm for Complex-valued Constant Matrix-vector Multiplication

Aleksandr Cariow, Galina Cariowa

In this paper we present a hardware-oriented algorithm for constant matrix-vector product calculating, when the all elements of vector and matrix are complex numbers. The proposed…