Residue Number System (RNS) is a non-weighted number system which was proposed by
Garner back in 1959 to achieve fast implementation of addition, subtraction and …

This paper considers the method of pattern recognition based on a convolutional neural
network using Sobel filters. Parameters of the convolutional neural network blocks were …

The moduli set {2 n-1, 2 n, 2 n+ 1} has been widely used in residue number system (RNS)-
based computations. Its sign extraction problem, albeit fundamentally important in …

Diminished-1 representation of modulo-residues provides for delay-balanced adders for the
popular moduli set. Besides, conjugacy of moduli leads to efficient multiple-residue to binary …

In this paper, we propose a new method for image smoothing using the Residue Number
System (RNS). The essence of the approach is to replace the computationally complex …

In this paper we define steganography over Redundant Residue Number System (RRNS)
Codes. We describe distortion-less RRNS based steganographic schemes, analyse their …

Modulo-$(2^ q+ 2^{q-1}\pm 1) $ adders have recently been implemented using the regular
parallel prefix (RPP) architecture, matching the speed of the widely used modulo-$(2^ q\pm …

In this chapter we consider the features of the Residue Number System application for digital
image processing. The tasks of digital image processing are very diverse in their methods of …

This paper considers the creation of video signal processing device. Important performance
criteria of these devices are speed and power consumption. We used an Alinx AX309 board …

In this paper we propose a new architecture of a smoothing filter in the RNS. The problem of
computationally complex division operation performing is solved by replacing this operation …