DocumentCode
1115989
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
Volume
15
fYear
2008
fDate
6/30/1905 12:00:00 AM
Firstpage
365
Lastpage
368
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);
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2008.919814
Filename
4479588
Link To Document