Matches in SemOpenAlex for { <https://semopenalex.org/work/W3011684176> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W3011684176 abstract "This paper presents a method to calculate the exact average block error probability of some random code ensembles under maximum-likelihood decoding. The proposed method is applicable to various channels and ensembles. The focus is on both spherical and Gaussian random codes on the additive white Gaussian noise channel as well as binary random codes on both the binary symmetric channel and the binary erasure channel. While for the uniform spherical ensemble Shannon, in 1959, argued with solid angles in $N$-dimensional space, the presented approach projects the problem into two dimensions and applies standard trigonometry. This simplifies the derivation and also allows for the analysis of the independent identically distributed (i.i.d.) Gaussian ensemble which turns out to perform better for short blocklengths and high rates. Moreover, a new lower bound on the average block error probability of the uniform spherical ensemble is found. For codes with more than three codewords, it is tighter than the sphere packing bound, but requires exactly the same computing effort. Furthermore, tight approximations are proposed to simplify the computation of both the exact average error probability and the two bounds. For the binary symmetric channel and the binary erasure channel, bounds on the average block error probability for i.i.d. random coding are derived and compared to the exact calculations." @default.
- W3011684176 created "2020-03-23" @default.
- W3011684176 creator A5026710677 @default.
- W3011684176 date "2020-03-15" @default.
- W3011684176 modified "2023-09-27" @default.
- W3011684176 title "On Approximation, Bounding & Exact Calculation of Block Error Probability for Random Code Ensembles" @default.
- W3011684176 cites W1536930200 @default.
- W3011684176 cites W1653591572 @default.
- W3011684176 cites W1887684582 @default.
- W3011684176 cites W1993944611 @default.
- W3011684176 cites W2005530146 @default.
- W3011684176 cites W2017309302 @default.
- W3011684176 cites W2044180609 @default.
- W3011684176 cites W2067514259 @default.
- W3011684176 cites W2077796887 @default.
- W3011684176 cites W2100616880 @default.
- W3011684176 cites W2106864314 @default.
- W3011684176 cites W2107680983 @default.
- W3011684176 cites W2110372787 @default.
- W3011684176 cites W2133508479 @default.
- W3011684176 cites W2152173278 @default.
- W3011684176 cites W2165712250 @default.
- W3011684176 cites W2276299490 @default.
- W3011684176 cites W2735415487 @default.
- W3011684176 cites W2799002609 @default.
- W3011684176 cites W2910729755 @default.
- W3011684176 cites W2914679068 @default.
- W3011684176 cites W2962912704 @default.
- W3011684176 cites W3140968660 @default.
- W3011684176 hasPublicationYear "2020" @default.
- W3011684176 type Work @default.
- W3011684176 sameAs 3011684176 @default.
- W3011684176 citedByCount "2" @default.
- W3011684176 countsByYear W30116841762020 @default.
- W3011684176 countsByYear W30116841762021 @default.
- W3011684176 crossrefType "posted-content" @default.
- W3011684176 hasAuthorship W3011684176A5026710677 @default.
- W3011684176 hasConcept C105795698 @default.
- W3011684176 hasConcept C11413529 @default.
- W3011684176 hasConcept C121332964 @default.
- W3011684176 hasConcept C134306372 @default.
- W3011684176 hasConcept C149862233 @default.
- W3011684176 hasConcept C163716315 @default.
- W3011684176 hasConcept C173988684 @default.
- W3011684176 hasConcept C179518139 @default.
- W3011684176 hasConcept C33923547 @default.
- W3011684176 hasConcept C48372109 @default.
- W3011684176 hasConcept C57273362 @default.
- W3011684176 hasConcept C62520636 @default.
- W3011684176 hasConcept C67692717 @default.
- W3011684176 hasConcept C77553402 @default.
- W3011684176 hasConcept C94375191 @default.
- W3011684176 hasConcept C97744766 @default.
- W3011684176 hasConceptScore W3011684176C105795698 @default.
- W3011684176 hasConceptScore W3011684176C11413529 @default.
- W3011684176 hasConceptScore W3011684176C121332964 @default.
- W3011684176 hasConceptScore W3011684176C134306372 @default.
- W3011684176 hasConceptScore W3011684176C149862233 @default.
- W3011684176 hasConceptScore W3011684176C163716315 @default.
- W3011684176 hasConceptScore W3011684176C173988684 @default.
- W3011684176 hasConceptScore W3011684176C179518139 @default.
- W3011684176 hasConceptScore W3011684176C33923547 @default.
- W3011684176 hasConceptScore W3011684176C48372109 @default.
- W3011684176 hasConceptScore W3011684176C57273362 @default.
- W3011684176 hasConceptScore W3011684176C62520636 @default.
- W3011684176 hasConceptScore W3011684176C67692717 @default.
- W3011684176 hasConceptScore W3011684176C77553402 @default.
- W3011684176 hasConceptScore W3011684176C94375191 @default.
- W3011684176 hasConceptScore W3011684176C97744766 @default.
- W3011684176 hasLocation W30116841761 @default.
- W3011684176 hasOpenAccess W3011684176 @default.
- W3011684176 hasPrimaryLocation W30116841761 @default.
- W3011684176 hasRelatedWork W1499116563 @default.
- W3011684176 hasRelatedWork W1505130365 @default.
- W3011684176 hasRelatedWork W1653591572 @default.
- W3011684176 hasRelatedWork W1969693636 @default.
- W3011684176 hasRelatedWork W2017783965 @default.
- W3011684176 hasRelatedWork W2025933665 @default.
- W3011684176 hasRelatedWork W2054729364 @default.
- W3011684176 hasRelatedWork W2078862928 @default.
- W3011684176 hasRelatedWork W2144552676 @default.
- W3011684176 hasRelatedWork W2156571667 @default.
- W3011684176 hasRelatedWork W2161669945 @default.
- W3011684176 hasRelatedWork W2212823073 @default.
- W3011684176 hasRelatedWork W2220197971 @default.
- W3011684176 hasRelatedWork W2591289922 @default.
- W3011684176 hasRelatedWork W2963851449 @default.
- W3011684176 hasRelatedWork W2963962111 @default.
- W3011684176 hasRelatedWork W3134215910 @default.
- W3011684176 hasRelatedWork W3157123936 @default.
- W3011684176 hasRelatedWork W3193374975 @default.
- W3011684176 hasRelatedWork W3213094458 @default.
- W3011684176 isParatext "false" @default.
- W3011684176 isRetracted "false" @default.
- W3011684176 magId "3011684176" @default.
- W3011684176 workType "article" @default.