Hilbert transform for broadband signals

October 11, 2020

example: a simple compound signal (red) made out of two frequency components. if you extract instantaneous amplitude and phase from the analytic signal of the compound, its phase and amplitude correspond to the circular mean of the analytic signal from individual components. pic.twitter.com/945XCXGthj
— Natalie Schaworonkow (@nschawor) October 11, 2020

oscillation baseline shift and 1/f-exponents

October 16, 2025

ok, imagine you have an oscillation that is not symmetric around 0 (small direct current shift) with some amplitude modulation, for instance with 1/f-dynamics. ➡️ then these 1/f-dynamics will show up in low frequency part of spectrum (red); in addition to around oscillation peak (yellow).

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— Natalie Schaworonkow (@nschawor.bsky.social) October 16, 2025 at 3:58 PM

beta as bursts / beta as a rhythm

June 06, 2024

"beta-activity as bursts", I am def 💯 OK with that.

but imho the pendulum has swung too far in the direction that all beta activity equals close to 1-2 cycle bursts. so just to illustrate diversity, here is some more sustained beta-activity, resting-state EEG.
〰️🙂〰️ pic.twitter.com/s9SnbdQy6j
— Natalie Schaworonkow (@nschawor) June 6, 2024

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oscillation baseline shift and 1/f-exponents

beta as bursts / beta as a rhythm