The multiple-parameter discrete fractional Hadamard transform

Ran Tao*, Jun Lang, Yue Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

Discrete fractional Hadamard transform (DFrHaT) is a generalization of the Hadamard transform, which has been widely used in signal processing. In this paper, we present the multiple-parameter discrete fractional Hadamard transform (MPDFrHaT), which has multiple order parameters instead of only one in DFrHaT. The proposed MPDFrHaT is shown to possess all of the desired properties of DFrHaT. In fact, it will reduce to DFrHaT when all of its order parameters are the same. We also propose a novel encryption technique, double random amplitude (DRA) encoding scheme, by cascading twofold random amplitude filtering. As a primary application, we exploit the multiple-parameter feature of MPDFrHaT and double random amplitude encoding scheme for digital image encryption in the MPDFrHaT domain. Results show that this method can enhance data security.

Original languageEnglish
Pages (from-to)1531-1535
Number of pages5
JournalOptics Communications
Volume282
Issue number8
DOIs
Publication statusPublished - 15 Apr 2009

Keywords

  • Cryptography
  • Double random amplitude encoding scheme
  • Fractional Hadamard transform
  • Image encryption and decryption
  • Multiple-parameter discrete fractional Hadamard transform

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