Random Discrete Fractional Fourier Transform

被引：35

作者：

Pei, Soo-Chang ^{[1
]}

Hsue, Wen-Liang ^{[2
]}

机构：

[1] Natl Taiwan Univ, Dept Elect Engn, Taipei 10617, Taiwan

[2] Chung Yuan Christian Univ, Dept Elect Engn, Chungli 32023, Taiwan

来源：

IEEE SIGNAL PROCESSING LETTERS | 2009年 / 16卷 / 12期

关键词：

Commuting matrix; discrete Fourier transform; discrete fractional Fourier transform; eigenvector; DIGITAL COMPUTATION; EIGENVECTORS; MATRICES;

D O I：

10.1109/LSP.2009.2027646

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页码：1015 / 1018

页数：4

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