Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6957149 | Signal Processing | 2018 | 19 Pages |
Abstract
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, we demonstrate how to construct an orthogonal basis of Hermite-Gaussian-like NTT eigenvectors, which can be used to define a fractional number-theoretic transform (FrNTT). We discuss the main aspects of the referred eigenbasis, present an example and suggest a potential application for the corresponding FrNTT.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
José R. de Oliveira Neto, Juliano B. Lima, Daniel Panario,