The multiple-parameter discrete fractional Fourier transform
Resource
IEEE Signal Processing Letters 13 (6): 329-332
Journal
IEEE Signal Processing Letters
Journal Volume
13
Journal Issue
6
Pages
329-332
Date Issued
2006-06
Author(s)
W. L. Hsue
Abstract
The discrete fractional Fourier transform (DFRFT) is a generalization of the discrete Fourier transform (DFT) with one additional order parameter. In this letter, we extend the DFRFT to have N order parameters, where N is the number of the input data points. The proposed multiple-parameter discrete fractional Fourier transform (MPDFRFT) is shown to have all of the desired properties for fractional transforms. In fact, the MPDFRFT reduces to the DFRFT when all of its order parameters are the same. To show an application example of the MPDFRFT, we exploit its multiple-parameter feature and propose the double random phase encoding in the MPDFRFT domain for encrypting digital data. The proposed encoding scheme in the MPDFRFT domain significantly enhances data security.
Type
journal article