Phase demodulation with iterative Hilbert transform embeddings

We propose an efficient method for demodulation of phase modulated signals via iterated Hilbert transform embeddings. We show that while a usual approach based on one application of the Hilbert transform provides only an approximation to a proper phase, with iterations the accuracy is essentially im...

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Bibliographic Details
Published in:arXiv.org 2019-01
Main Authors: Gengel, Erik, Pikovsky, Arkady
Format: Article
Language:English
Subjects:
Hilbert transformation
Phase demodulation
Waveforms
Online Access:Get full text
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Summary:We propose an efficient method for demodulation of phase modulated signals via iterated Hilbert transform embeddings. We show that while a usual approach based on one application of the Hilbert transform provides only an approximation to a proper phase, with iterations the accuracy is essentially improved, up to precision limited mainly by the discretization effects. We demonstrate that the method is applicable to arbitrarily complex waveforms, and to modulations fast compared to the basic frequency. Furthermore, we develop a perturbative theory applicable to simple cosine waveforms, showing convergence of the technique.
ISSN:2331-8422