| Paper: | SPTM-P5.4 | ||
| Session: | Time-Frequency Transforms and Operators | ||
| Time: | Wednesday, May 17, 14:00 - 16:00 | ||
| Presentation: | Poster | ||
| Topic: | Signal Processing Theory and Methods: Non-stationary Signals and Time-Frequency Analysis | ||
| Title: | The Multiple-Parameter Discrete Fractional Fourier Transform and Its Application | ||
| Authors: | Wen-Liang Hsue, Soo-Chang Pei, National Taiwan University, Taiwan | ||
| Abstract: | The discrete fractional Fourier transform (DFRFT) is a generalization of the discrete Fourier transform (DFT) with one additional order parameter. In this paper, 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. | ||
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