A graph signal processing approach to Fourier-like number-theoretic transforms
JB Lima, JR de Oliveira Neto - Digital Signal Processing, 2022 - Elsevier
In this paper, we employ a graph signal processing approach to redefine Fourier-like
number-theoretic transforms, which includes the Fourier number transform itself, the Hartley …
number-theoretic transforms, which includes the Fourier number transform itself, the Hartley …
The design of a novel multiple-parameter fractional number-theoretic transform and its application to image encryption
JR de Oliveira Neto, JB Lima… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
In this paper, we describe an image encryption scheme based on the multiple-parameter
fractional number-theoretic transform (MFrNTT). In order to define the MFrNTT used in our …
fractional number-theoretic transform (MFrNTT). In order to define the MFrNTT used in our …
Mutual information rate of nonstationary statistical signals
H Miao, F Zhang, R Tao - Signal Processing, 2020 - Elsevier
The stochastic chirp-stationary (CS) signals are a kind of widely employed nonstationary
signal model in communications and radar/sonar systems. However, the measurement of …
signal model in communications and radar/sonar systems. However, the measurement of …
Steerable Fourier number transform with application to image encryption
MAA Gondim, JR de Oliveira Neto, JB Lima - Signal Processing: Image …, 2019 - Elsevier
In this paper, we introduce the steerable Fourier number transform (SFNT). It corresponds to
a generalization of the well-known number-theoretic transform (NTT), obtained by applying a …
a generalization of the well-known number-theoretic transform (NTT), obtained by applying a …
傅里叶正, 余弦变换的加权卷积及其应用.
向仪, 冯强 - Journal of Zhejiang University (Science Edition), 2023 - search.ebscohost.com
傅里叶变换是求解积分方程常用的工具. 基于傅里叶正弦变换与傅里叶余弦变换,
定义了两类傅里叶混合加权卷积, 得到了傅里叶正弦变换与傅里叶余弦变换的卷积定理 …
定义了两类傅里叶混合加权卷积, 得到了傅里叶正弦变换与傅里叶余弦变换的卷积定理 …
The quaternion Fourier number transform
LC da Silva, JB Lima - Circuits, Systems, and Signal Processing, 2018 - Springer
In this paper, we introduce the quaternion Fourier number transform (QFNT), which
corresponds to a quaternionic version of the well-known number-theoretic transform. We …
corresponds to a quaternionic version of the well-known number-theoretic transform. We …
A novel approach for defining a Hilbert number transform
JB Lima, MAA Gondim… - Circuits, Systems, and …, 2022 - Springer
In this brief, we introduce a new definition for the Hilbert number transform (HNT). Our
approach employs concepts related to trigonometry over finite fields and uses as a starting …
approach employs concepts related to trigonometry over finite fields and uses as a starting …
A generating matrix method for constructing Hermite–Gaussian-like number-theoretic transform eigenvectors
In this paper, we present a method based on generating matrices for constructing number-
theoretic transform (NTT) eigenvectors. We provide a specific generating matrix and, using it …
theoretic transform (NTT) eigenvectors. We provide a specific generating matrix and, using it …
Novas relaçoes na matriz de transformaçao da transformada numérica de Pascal
AJA Paschoal, RMC de Souza… - Proceeding Series of …, 2018 - proceedings.sbmac.org.br
Neste artigo, a matriz de transformação da transformada numérica de Pascal (TNP) e
investigada e novas relações baseadas na decomposição desta matriz, por meio do …
investigada e novas relações baseadas na decomposição desta matriz, por meio do …
[PDF][PDF] Educação Matemática e suas Tecnologias 4
FAMF Gonçalves - Ponta Grossa-PR: Atena, 2019 - academia.edu
Nos dias atuais não dá mais para desconsiderar o quanto as tecnologias têm influenciado
de forma ampla a vida dos cidadãos e, em particular, as diversas implicações favoráveis …
de forma ampla a vida dos cidadãos e, em particular, as diversas implicações favoráveis …