linear canonical transform
Generalized Discrete Entropic Uncertainty Relations on Linear Canonical Transform
... Uncertainty principle plays an important role in physics, mathematics, signal processing and et al. In this paper, based on the definition and properties of discrete linear canonical transform ...
7
Sampling Rate Conversion in the Discrete Linear Canonical Transform Domain
... The method proposed in [11] discusses the SRC relation in the discrete time linear canonical transform domain (DTLCT). Unlike the method in [11], in this paper, we derive a new SRC operation related ...
6
New Inequalities and Uncertainty Relations on Linear Canonical Transform Revisit
... the linear canonical transform (LCT) and the traditional Pitt’s inequality, one novel Pitt’s inequality in the LCT domains is obtained, which is connected with the LCT parameters a and ...
7
The Properties and Fast Algorithm of Quaternion Linear Canonical Transform
... quaternion linear canonical transform (QLCT) is defined in this paper, with proofs given for its reversibility property, its linear property, its odd-even invariant property and additivity ...
15
Convolution for The Offset Linear Canonical Transform with Gaussian Weight and Its Application
... Abstract: This paper presents the convolution for the offset linear canonical transform (OLCT) with the Gaussian weight and its applications. The product theorem is also studied. In applications, ...
8
The ambiguity function associated with the linear canonical transform
... Fourier transform (STFT) [1], the wavelet transform (WT) [2] and the fractional Fourier transform (FRFT) ...Fourier transform (FT), the FRFT has attracted more and more attention because of ...
14
Relationship between sampling and multirate filterbanks in the linear canonical transform domain
... Multirate filterbanks have found applications in speech processing, image processing, communications, and in the development of new sampling theorems. This paper explores the relationship between sampling theorems and ...
8
II.P RELIMINARY A. The Linear Canonical Transform (LCT)
... Abstract—The linear canonical transform (LCT) is a powerful tool for signal processing and ...offset linear canonical transform (OLCT) is ...
5
Online Full Text
... Zhi Chao Zhang received his B.S. degree in mathematics from Gannan Normal University, Ganzhou, Jiangxi, China, in 2012. He is currently working towards the M.D.-Ph.D. degree in the Department of Mathematics under the ...
7
Discrete linear canonical wavelet transform and its applications
... The linear canonical transform (LCT), the generalization of the Fourier transform (FT), the fractional Fourier trans- form (FrFT), the Fresnel transform and the scaling opera- tions, ...
18
Modulation of Generalized Canonical CS Transform
... Fourier transform, the linear canonical transform has been used in several areas, including optics and signal processing, image reconstruction [1], [2], ...definition canonical CS- ...
5
Fast Linear Algorithms for Machine Learning
... Nowadays linear methods like Regression, Principal Component Analysis and Canoni- cal Correlation Analysis are well understood and widely used by the machine learning community for predictive modeling and feature ...
110
Classical and Quantum Behavior of Generalized Oscillators in Terms of Linear Canonical Transformations
... a linear transformation for position and momentum by referring to the system of a generalized ...a linear canonical transformation, the classical and quantum correspondence is ...a linear ...
14
CANONICAL DESCRIPTION OF GROUP THEORY: A LINEAR ORDER ON ALL FINITE GROUPS
... [Benacerraf(1965)]. The argument is made that numbers are actually not sets because there is no absolute way of describing them in terms of sets. In fact, numbers do not exist at all. We are simply taking abstract ...
94
Compensated convex transforms and geometric singularity extraction from semiconvex functions
... upper/lower transform is tightly attached to that of the original function from ...with linear modulus, where Ω ⊂ R n is a non-empty convex open set, then according to the well-known Alexandrov’s theorem ...
25
Generalized Equalization Model for Image Enhancement
... a transform, or what is a transform anyway? Mathematical transformations are applied to signals to obtain further information from that signal that is not readily available in the raw ...
5
STATISTICAL FEATURE ANALYSIS OF ULTRASOUND CAROTID IMAGES FOR ASYMPTOMATIC PLAQUE IDENTIFICATION
... Gabor transform performed to the result of wavelet transform decomposition detailed sub ...Gabor transform, GLRS(Gray Level Run Length Statistics)features are extracted for the further process of ...
8
Fractional Transforms in Optical Information Processing
... transform belong to the class of canonical integral trans- forms, see (3), one can analyze the feasibility of fractional Fourier holograms in relation to Fresnel holograms prop- erties. The fundamentals of ...
22
A Study On Linear and Non linear Schrodinger Equations by Reduced Differential Transform Method
... differential transform method was applied to obtain the exact solution of linear and nonlinear Schrodinger ...of linear and nonlinear partial differential ...
6
Development of a linear version of the CIECAM97s chromatic adaptation transform
... Using these pieces, a generic chromatic-adaptation transform can be made. Starting with CIE tristimulus values for the initial viewing condition, transform these values to cone excitations. Taking into ...
17