11 citations · 26 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
An algorithm for fast computation of the multiresolution discrete Fourier transform
Bartosz Andreatto, Aleksandr Cariow
The article presents a computationally effective algorithm for calculating the multiresolution discrete Fourier transform (MrDFT). The algorithm is based on the idea of reducing th…
An algorithm for multipication of Kaluza numbers
Aleksandr Cariow, Galina Cariowa, Rafał Łentek
This paper presents the derivation of a new algorithm for multiplying of two Kaluza numbers. Performing this operation directly requires 1024 real multiplications and 992 real addi…
An algorithm for multiplication of split-octonions
Aleksandr Cariow, Galina Cariowa, Bartosz Kubsik
In this paper we introduce efficient algorithm for the multiplication of split-octonions. The direct multiplication of two split-octonions requires 64 real multiplications and 56 r…
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…
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…