TY  - JOUR
A1  - Gengel, Erik
A1  - Pikovskij, Arkadij
T1  - Phase demodulation with iterative Hilbert transform embeddings
JF  - Signal processing
N2  - 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.
KW  - Phase modulation
KW  - Hilbert transform
KW  - Embedding
Y1  - 2019
U6  - https://doi.org/10.1016/j.sigpro.2019.07.005
SN  - 0165-1684
SN  - 1872-7557
VL  - 165
SP  - 115
EP  - 127
PB  - Elsevier
CY  - Amsterdam
ER  -