2026
CLM-SIGNAL-003420>= sum_i f_i >= 2BLOWER BOUNDThe cited theorem establishes sum_i f_i >= 2B under the recorded model.Source: Generalized sampling expansion — Papoulis generalized-sampling aggregate-density bound ↗
PROVENA bank of generalized sampling channels must collectively provide Nyquist density to reconstruct an arbitrary B-bandlimited signal.
The question, scope, and sources behind this Registry record.
Lower-bound aggregate periodic multichannel sampling rate for stable reconstruction of arbitrary signals supported on [-B,B] Hz.
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.
No accepted machine-checked reproductions are recorded for this Limit.
Limits Registry. LR-003420. Papoulis generalized-sampling aggregate-density bound. 2026.