Double image encryption using 3D Lorenz chaotic system, 2D non-separable linear canonical transform and QR decomposition

P Rakheja, R Vig, P Singh - Optical and quantum electronics, 2020 - Springer
In this paper, a double image encryption scheme using 3D Lorenz chaotic system and QR
decomposition in 2D non-separable linear canonical transform domain is proposed. Here …

Nonlinear double image encryption using 2D non-separable linear canonical transform and phase retrieval algorithm

R Kumar, JT Sheridan, B Bhaduri - Optics & Laser Technology, 2018 - Elsevier
In this paper, we propose a new asymmetric method for double image encryption using the
two-dimensional non-separable linear canonical transform (2D NS-LCT) and an iterative …

Windowed linear canonical transform and its applications

KI Kou, RH Xu - Signal Processing, 2012 - Elsevier
In this paper, we generalize the windowed Fourier transform to the windowed linear
canonical transform by substituting the Fourier transform kernel with the linear canonical …

Sampling and reconstruction in arbitrary measurement and approximation spaces associated with linear canonical transform

J Shi, X Liu, L He, M Han, Q Li… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
The linear canonical transform (LCT), which generalizes many classical transforms, has
been shown to be a powerful tool for signal processing and optics. Sampling theory of the …

Fast numerical computation of two-dimensional non-separable linear canonical transform based on matrix decomposition

D Wei, Y Shen - IEEE Transactions on Signal Processing, 2021 - ieeexplore.ieee.org
Two-dimensional non-separable linear canonical transform (2D NSLCT), as a generalized
form of linear canonical transform (LCT) and 2D separable linear canonical transform (2D …

Discrete linear canonical transform on graphs

Y Zhang, BZ Li - Digital Signal Processing, 2023 - Elsevier
With the wide application of spectral and algebraic theory in discrete signal processing
techniques in the field of graph signal processing, an increasing number of signal …

General astigmatic transform of Hermite–Laguerre–Gaussian beams

E Abramochkin, E Razueva, V Volostnikov - JOSA A, 2010 - opg.optica.org
The general astigmatic transform, or two-dimensional non-separable linear canonical
transform of a Hermite–Laguerre–Gaussian beam, is investigated by theoretical means …

Discrete linear canonical transform based on hyperdifferential operators

A Koç, B Bartan, HM Ozaktas - IEEE Transactions on Signal …, 2019 - ieeexplore.ieee.org
Linear canonical transforms (LCTs) are of importance in many areas of science and
engineering with many applications. Therefore, a satisfactory discrete implementation is of …

Optimal -Thresholding Algorithms for Sparse Optimization Problems

YB Zhao - SIAM Journal on Optimization, 2020 - SIAM
The simulations indicate that the existing hard thresholding technique independent of the
residual function may cause a dramatic increase or numerical oscillation of the residual. This …

Sampling theorem for two dimensional fractional Fourier transform

AI Zayed - Signal Processing, 2021 - Elsevier
The fractional Fourier transform, which is a generalization of the Fourier transform, has
become the focus of many research papers in recent years because of its applications in …