Nyquist sampling limit

A band-limited signal with bandwidth B is recoverable from samples at a rate above 2B, subject to endpoint convention.

Specification version 1Published 2026-08-271 evidence records

What we know

Current frontiers derived from accepted Claims.

BEST KNOWN LOWER BOUNDPROVEN UPPER BOUND

2B samples/second

UNKNOWN GAP

Best known lower boundGap: UnknownProven upper bound

Claims

Assertions tied to evidence, attribution, and review.

2026

CLM-LR-DRAFT-NYQUIST-1>= 2B samples/secondLOWER BOUNDCertain Topics in Telegraph Transmission TheoryEvidence: 1 linked source records

SOURCE CONFIRMED

Timeline

The frontier as it changed over time.

How this frontier is derived

Only accepted Claims matching the current specification contribute to the displayed bounds. Strict inequalities remain open; contradictory Claims require editorial review.

—No breakthrough events recorded yetEvents appear here when an accepted Claim tightens a bound or closes the frontier.

Specification

What question is being asked?

A band-limited signal with bandwidth B is recoverable from samples at a rate above 2B, subject to endpoint convention.

Constraints: signal=band-limited · bandwidth=B · reconstruction=ideal

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Corrections & disputes

Record history

No unresolved corrections or disputes are recorded for this published version.

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Editorial status

Evidence-backed record

1 accepted Claim, with 1 linked evidence records.

Human-reviewed · No AI-only claims

Verified prizes & bounties

Active verified incentives

No active verified bounties are linked to this Limit.

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Reproducibility

Machine-checked history

No accepted machine-checked reproductions are recorded for this Limit.

Cite this LimitLimits Registry. LR-DRAFT-NYQUIST. Nyquist sampling limit. 2026.