The Observation Theory EncyclopediaFrom TSKAboutBy kindBy chapterBy Lean fileLedgerProvenance

block error rate concept

DefinitionThe fraction of transmitted radio blocks the receiver cannot decode, abbreviated BLER. Chapter 13. Also block error, BLER.
ExampleTwo of ten transmitted blocks undecodable is a block error rate of 0.2.
BookData Mining as Observation, draft 0.2, commit f3914f0; entry id block-error-rate, kind concept.
Statusno ledger row names this entry. Corrections: 1 item(s), see below.
Defining equationnone
Assumptions and scope
  • The fraction of transmitted radio blocks the receiver cannot decode, in the unit interval. A block of n symbols each lost independently with probability q fails with probability one minus one minus q to the n, at most n q, never falling as the block grows, and equal to q for a single symbol.
  • The measured rates of the radio track and the refuted refresh law fit against them are the ledger’s numbers, with the sealed sweep’s calibrated baseline as the correction.
Prior artnone recorded
Evidenceobservation-theory-campaigns/experiments/RADIO-FRESHNESS-TRACK.md:41-50, lean/DataMiningAsObservation/BlockErrorRate.lean
Reviewednot yet reviewed; generated 2026-09-10 from records at the commits on the provenance page.
timesentsentlostsentlost
Blocks a receiver cannot decode, as a fraction of those sent in a window.

Equation

none

Conditions

Conditions are curated in entries.toml rather than read from a record.

Ledger

none

First stated

Chapter 13 section 13.4 of Data Mining as Observation, with the radio freshness track, observation-theory-campaigns/experiments/RADIO-FRESHNESS-TRACK.md:20-35, and the sealed sweep observation-theory-campaigns/analysis/csi/PREREG-XPROTO-CSI-SWEEP2.md.

Measurements

none

Failures and corrections

Invariance envelope

none declared

Machine checked

lean/DataMiningAsObservation/BlockErrorRate.lean, theorems bler_mem_unit, blockFail_le, blockFail_mono, blockFail_one, blockFail_zero, at observation-data-mining f3914f0; what the check covers is stated in the book’s appendix C.

Used in

Data Mining as Observation primer S.

Related

coherence time; refresh floor; freshness; false-clear rate.

See also

Book equations stated beside the entry’s terms, not defining it: 13.2, 0.25.

Ledger rows that cite the entry’s records without naming it: OT-4, OT-11.

Sources-table rows that share a record with the entry without naming it: chapter 13 section 13.3, chapter 13 section 13.4.

Status

Generated 2026-09-10 by encyclopedia/generate.py; book at observation-data-mining f3914f0; the commit of every record is listed in the encyclopedia’s provenance.

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