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A generating matrix method for constructing Hermite-Gaussian-like number-theoretic transform eigenvectors
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DOI：10.1016/j.sigpro.2018.05.018.png)
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Abstract
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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. (C) 2018 Elsevier B.V. All rights reserved.
Keywords:
Number-theoretic transforms
Generating matrices
Fractional transforms
Hermite-Gaussian-like eigenvectors
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