Title :
Generalization of the Fractional Hilbert Transform
Author :
Tao, Ran ; Li, Xue-Mei ; Wan, Yue
Author_Institution :
Dept. of Electron. Eng., Beijing Inst. of Technol., Beijing
fDate :
6/30/1905 12:00:00 AM
Abstract :
In this letter, we generalize the fractional Hilbert transform of a real signal to get an analytic version which contains no negative spectrum while maintaining the essential information of the real signal. We also present a secure single-sideband (SSB) modulation system in which the angle of the fractional Fourier transform and the phase of the fractional Hilbert transform are used as double keys for demodulation.
Keywords :
Fourier transforms; Hilbert transforms; modulation; private key cryptography; fractional Fourier transform; fractional Hilbert transform; secret keys; secure SSB modulation system; single-sideband modulation; Amplitude modulation; Bandwidth; Fourier transforms; Image reconstruction; Information analysis; Optical modulation; Optical signal processing; Phase modulation; Signal analysis; Time frequency analysis; Fractional Fourier transform; fractional Hilbert transform; single-sideband (SSB);
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2008.919814
