Estimates of error rates for codes on burst-noise channels
Abstract
The error structure on communication channels used for data transmission may be so complex as to preclude the feasibility of accurately predicting the performance of given codes when employed on these channels. Use of an approximate error rate as an estimate of performance allows the complex statistics of errors to be reduced to a manageable table of parameters and used in an economical evaluation of large collections of error detecting codes. Exemplary evaluations of error detecting codes on the switched telephone network are included in this paper. On channels which may be represented by Gilbert's model of a burst-noise channel, the probabilities of error or of retransmission may be calculated without approximations for both error correcting and error detecting codes
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The Gilbert-Elliot model is extensively used to represent bursty error patterns in transmission channels.
“The Gilbert–Elliot (GE) [26,27] is extensively used to represent ‘bursty’ error patterns in transmission channels, allowing analysis of the transmission efficiency, such as how many errors an error-recovery scheme detects and corrects induced in its channel.”
From VQProtect: Lightweight Visual Quality Protection for Error-Prone Selectively Encrypted Video Streaming (2022) · cites this paper as [27]
Cited by
Sorted by citations
Gillani, S. M., Asghar, M. N., Shifa, A., Abdullah, S., Kanwal, N., & Fleury, M. (2022) · Entropy · doi:10.3390/e24060755 · Cited by 5 · see citing works
- Authors
- Elliott, E. O.
- Corresponding author
- Elliott, E. O.
- Venue
- Bell System Technical Journal
- Published
- 1963-09
- Volume
- 42
- Issue
- 5
- Pages
- 1977-1997
- ISSN
- 0005-8580 (ISSN-L)
- OpenAlex
- W2153623795
- Cited by
- 1,321
- References
- 0
- Citations by year
- 2026: 34 · 2025: 25 · 2024: 24 · 2023: 31 · 2022: 32 · 2021: 40 · 2020: 44 · 2019: 40 · 2018: 46 · 2017: 30 · 2016: 29 · 2015: 44 · 2014: 56 · 2013: 57 · 2012: 63
- FWCI
- 15.28
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Bell System Technical Journal (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Computer Networks and Communications › Error Correcting Code Techniques
- Physical Sciences › Computer Science › Artificial Intelligence › Coding theory and cryptography
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Data Compression Techniques
- Keywords
- error rate estimation, error detection codes, error-correcting codes, Gilbert model, public switched telephone network, retransmission probability
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
