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• W1757827366 abstract "A mono-component is a real-valued signal of finite energy that has non-negative instantaneous frequencies, which may be defined as the derivative of the phase function of the given real-valued signal through the approach of canonical amplitude-phase modulation. We study in this article how the amplitude is determined by its phase in a canonical amplitude-phase modulation. Our finding is that such an amplitude can be perfectly reconstructed by a sampling formula using the so-called generalized sampling functions and their Hilbert transforms. The regularity of such an amplitude is identified to be at least continuous. Meanwhile, we also make a very interesting and new characterization of the band-limited functions." @default.
• W1757827366 created "2016-06-24" @default.
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• W1757827366 date "2012-12-17" @default.
• W1757827366 modified "2023-09-22" @default.
• W1757827366 title "Amplitudes of mono-components and representation by generalized sampling functions" @default.
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