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Vasile Vlad Moca, Harald Bârzan, Adriana Nagy-Dăbâcan, Raul Cristian Muresan
Due to the Heisenberg-Gabor uncertainty principle, finite oscillation transients are difficult to localize simultaneously in both time and frequency. Classical estimators, like the short-time Fourier transform or the continuous-wavelet transform optimize either temporal or frequency resolution, or find a suboptimal tradeoff. Here, we introduce a spectral estimator enabling time-frequency super-resolution, called superlet, that uses sets of wavelets with increasingly constrained bandwidth. These are combined geometrically in order to maintain the good temporal resolution of single wavelets and gain frequency resolution in upper bands. The normalization of wavelets in the set facilitates exploration of data with scale-free, fractal nature, containing oscillation packets that are self-similar across frequencies. Superlets perform well on synthetic data and brain signals recorded in humans and rodents, resolving high frequency bursts with excellent precision. Importantly, they can reveal fast transient oscillation events in single trials that may be hidden in the averaged time-frequency spectrum by other methods.
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Moca, V. V., Bârzan, H., Nagy-Dăbâcan, A., & Muresan, R. C. (2021). Time-frequency super-resolution with superlets. Nature Communications, 12(1), 337. https://doi.org/10.1038/s41467-020-20539-9
Moca, Vasile Vlad, et al. "Time-frequency super-resolution with superlets." Nature Communications, vol. 12, no. 1, 2021, pp. 337, https://doi.org/10.1038/s41467-020-20539-9.
Moca, Vasile Vlad, Harald Bârzan, Adriana Nagy-Dăbâcan, and Raul Cristian Muresan. "Time-frequency super-resolution with superlets." Nature Communications 12, no. 1 (2021): 337. https://doi.org/10.1038/s41467-020-20539-9.
Moca V. V., Bârzan H., Nagy-Dăbâcan A. [и др.] Time-frequency super-resolution with superlets // Nature Communications. — 2021. — Vol. 12, № 1. — P. 337. — URL: https://doi.org/10.1038/s41467-020-20539-9
@article{moca2021timefrequency,
title = {{Time-frequency super-resolution with superlets}},
author = {Vasile Vlad Moca and Harald Bârzan and Adriana Nagy-Dăbâcan and Raul Cristian Muresan},
journal = {Nature Communications},
year = {2021},
volume = {12},
number = {1},
pages = {337},
doi = {10.1038/s41467-020-20539-9},
url = {https://doi.org/10.1038/s41467-020-20539-9}
}TY - JOUR AU - Moca, Vasile Vlad AU - Bârzan, Harald AU - Nagy-Dăbâcan, Adriana AU - Muresan, Raul Cristian TI - Time-frequency super-resolution with superlets JO - Nature Communications VL - 12 IS - 1 SP - 337 PY - 2021 DA - 2021/01/12 DO - 10.1038/s41467-020-20539-9 UR - https://doi.org/10.1038/s41467-020-20539-9 ER -
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