A novel algorithm for computing the 1-D discrete Hartley transform

AM Grigoryan - IEEE Signal Processing Letters, 2004 - ieeexplore.ieee.org
An efficient split algorithm for calculating the one-dimensional discrete Hartley transforms, by
using a special partitioning in the frequency domain, is introduced. The partition determines …

Resolution map in quantum computing: signal representation by periodic patterns

AM Grigoryan - Quantum Information Processing, 2020 - Springer
In this paper, a new concept of the resolution map is presented to extract periodic structures
that compose the signal. The resolution map is described by using the frequency–time …

Two classes of elliptic discrete Fourier transforms: Properties and examples

AM Grigoryan - Journal of Mathematical Imaging and Vision, 2011 - Springer
This paper analyzes the block structure of the matrix of the N-point discrete Fourier transform
(DFT) in the real space R 2 N. Each block of this matrix corresponds to the Givens …

Fast signal-induced transforms in image enhancement

K Naghdali, R Ranjith… - 2009 IEEE International …, 2009 - ieeexplore.ieee.org
In this paper, the concept of the discrete unitary transforms induced by given signals or input
signals is modified and developed. The basic transformations composing such transforms …

Towards holographic “brain” memory based on randomization and Walsh–Hadamard transformation

D Berend, S Dolev, S Frenkel, A Hanemann - Neural Networks, 2016 - Elsevier
The holographic conceptual approach to cognitive processes in the human brain suggests
that, in some parts of the brain, each part of the memory (a neuron or a group of neurons) …

Quantum-inspired microwave signal processing for implementing unitary transforms

S Zhang, Y Zhang, Y Sun, H Sun, X Zhang - Optics express, 2019 - opg.optica.org
Inspired by photonic one-way quantum computation, we describe a microwave signal
processing method for implementing unitary transforms based on measuring the cebits …

Optimal restoration of multiple signals in quaternion algebra

AM Grigoryan, SS Agaian - Mobile Multimedia/Image …, 2020 - spiedigitallibrary.org
This paper offers a new multiple signal restoration tool to solve the inverse problem, when
signals are convoluted with a multiple impulse response and then degraded by an additive …

Method of flow graph simplification for the 16-point discrete Fourier transform

AM Grigoryan, VS Bhamidipati - IEEE transactions on signal …, 2004 - ieeexplore.ieee.org
An efficient method for the realization of the paired algorithm for calculation of the one-
dimensional (1-D) discrete Fourier transform (DFT), by simplifying the signal-flow graph of …

Representation of the Fourier transform by Fourier series

AM Grigoryan - Journal of Mathematical Imaging and Vision, 2006 - Springer
The analysis of the mathematical structure of the integral Fourier transform shows that the
transform can be split and represented by certain sets of frequencies as coefficients of …

Alpha-rooting method of gray-scale image enhancement in the quaternion frequency domain

AM Grigoryan, SS Agaian - Electronic Imaging, 2017 - library.imaging.org
New models of gray-scale image representation in the 4-D quaternion space are described,
wherein images can be processed as quaternion and color images in the frequency domain …