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 improved, up to precision limited mainly by 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 a simple cosine waveform, showing convergence of the technique.
| Author details: | Erik Gengel, Arkadij PikovskijORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1016/j.sigpro.2019.07.005 |
| ISSN: | 0165-1684 |
| ISSN: | 1872-7557 |
| Title of parent work (English): | Signal processing |
| Publisher: | Elsevier |
| Place of publishing: | Amsterdam |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2019 |
| Publication year: | 2019 |
| Release date: | 2020/09/30 |
| Tag: | Embedding; Hilbert transform; Phase modulation |
| Volume: | 165 |
| Number of pages: | 13 |
| First page: | 115 |
| Last Page: | 127 |
| Funding institution: | Russian Science FoundationRussian Science Foundation (RSF) [17-12-01534]; Friedrich-Ebert Stiftung |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Peer review: | Referiert |
| Publishing method: | Open Access |
| Open Access / Green Open-Access |
