convolution in frequency domain = time domain multiplication

December 15, 2020

a sine wave is amplitude-modulated by a sinc-function of increasing frequency. the spectral peak of resulting signal starts to broaden, as a narrow sine spectral peak is convolved with the sinc box-car frequency response (time domain multiplication = frequency domain convolution) pic.twitter.com/2VLGEEeNE1
— Natalie Schaworonkow (@nschawor) December 15, 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