2026
CLM-SIGNAL-003407>= sigma_t sigma_f >= 1/(4 pi)LOWER BOUNDThe cited theorem establishes sigma_t sigma_f >= 1/(4 pi) under the recorded model.Source: Theory of communication — Gabor time–frequency uncertainty equality ↗
PROVENUsing cyclic frequency, Gaussian windows uniquely attain the minimum uncertainty product up to symmetries.
The question, scope, and sources behind this Registry record.
Lower-bound time and cyclic-frequency standard deviations and identify equality-achieving windows.
Current frontiers derived from accepted Claims.
Assertions tied to evidence, attribution, and review.
The frontier as it changed over time.
Only accepted Claims matching the current specification contribute to the displayed bounds. Strict inequalities remain open; contradictory Claims require editorial review.
Limits Registry. LR-003407. Gabor time–frequency uncertainty equality. 2026.