Random Discrete Fractional Fourier Transform

In this letter, a new commuting matrix with random discrete Fourier transform (DFT) eigenvectors is first constructed. A random discrete fractional Fourier transform (RDFRFT) kernel matrix with random DFT eigenvectors and eigenvalues is then proposed. The RDFRFT has an important feature that the mag...

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Veröffentlicht in:	IEEE signal processing letters 2009-12, Vol.16 (12), p.1015-1018
Hauptverfasser:	Pei, Soo-Chang, Hsue, Wen-Liang
Format:	Artikel
Sprache:	eng
Schlagworte:	Commuting matrix Cryptography discrete Fourier transform Discrete Fourier transforms discrete fractional Fourier transform Discrete transforms Eigenvalues Eigenvalues and eigenfunctions eigenvector Eigenvectors Encryption Fourier transforms Kernel Kernels Optical signal processing Signal processing Transforms
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Beschreibung
Zusammenfassung:	In this letter, a new commuting matrix with random discrete Fourier transform (DFT) eigenvectors is first constructed. A random discrete fractional Fourier transform (RDFRFT) kernel matrix with random DFT eigenvectors and eigenvalues is then proposed. The RDFRFT has an important feature that the magnitude and phase of its transform output are both random. As an application example, a security-enhanced image encryption scheme based on the RDFRFT is illustrated.
ISSN:	1070-9908 1558-2361
DOI:	10.1109/LSP.2009.2027646