Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2019
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/1901.08774 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915071487115264 |
|---|---|
| author | Gengel, Erik Pikovsky, Arkady |
| author_facet | Gengel, Erik Pikovsky, Arkady |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_08774 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Phase demodulation with iterative Hilbert transform embeddings Gengel, Erik Pikovsky, Arkady Computational Physics Numerical Analysis Instrumentation and Detectors Medical Physics 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. |
| title | Phase demodulation with iterative Hilbert transform embeddings |
| topic | Computational Physics Numerical Analysis Instrumentation and Detectors Medical Physics |
| url | https://arxiv.org/abs/1901.08774 |