11 citations · 26 across the 15 of their papers we have counts for
15 papers
Fast algorithms for complex-valued discrete Fourier transform with separate real and imaginary inputs/outputs
Aleksandr Cariow
Fast Fourier transform algorithms are an arsenal of effective tools for solving various problems of analysis and high-speed processing of signals of various natures. Almost all of…
An algorithm for dividing quaternions
Aleksandr Cariow, Galina Cariowa
In this work, a rationalized algorithm for calculating the quotient of two quaternions is presented which reduces the number of underlying real multiplications. Hardware for fast m…
Minimal Filtering Algorithms for Convolutional Neural Networks
Aleksandr Cariow, Galina Cariowa
In this paper, we present several resource-efficient algorithmic solutions regarding the fully parallel hardware implementation of the basic filtering operation performed in the co…
Hardware-Efficient Structure of the Accelerating Module for Implementation of Convolutional Neural Network Basic Operation
Aleksandr Cariow, Galina Cariowa
This paper presents a structural design of the hardware-efficient module for implementation of convolution neural network (CNN) basic operation with reduced implementation complexi…
Some Schemes for Implementation of Arithmetic Operations with Complex Numbers Using Squaring Units
Aleksandr Cariow, Galina Cariowa
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…
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…