Matrizes Geradoras de Autovetores para Construção de Transformadas de Hartley Fracionárias

Ravi B. D. Figueiredo, Juliano B. Lima, José R. de Oliveira Neto

DOI: 10.14209/sbrt.2017.169

Evento: XXXV Simpósio Brasileiro de Telecomunicações e Processamento de Sinais (SBrT2017)

Keywords: discrete Hartley transform generating matrices eigenvectors fractional transforms

Abstract

In this paper, we propose a method based on generating matrices for constructing eigenvectors of the discrete Hartley transform (DHT). The obtained eigenvector sets are characterized and employed in the definition of a fractional DHT (DFrHT). A real-valued version of the DFrHT is then presented; since the number of free parameters of such a transform is greater than that of the corresponding Fourier transforms, its usage in image encryption may provide advantages related to the robustness against certain cryptographic attacks. A preliminary evaluation regarding this possibility is performed in the final part of this work.

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