Matches in SemOpenAlex for { <https://semopenalex.org/work/W1595296446> ?p ?o ?g. }
- W1595296446 abstract "A new class of analog-to-digital (A/D) and digital-to-analog (D/A) converters using a flaky quantiser, called the $beta$-encoder, has been shown to have exponential bit rate accuracy while possessing a self-correction property for fluctuations of the amplifier factor $beta$ and the quantiser threshold $nu$. The probabilistic behavior of such a flaky quantiser is explained as the deterministic dynamics of the multi-valued R'enyi map. That is, a sample $x$ is always confined to a contracted subinterval while successive approximations of $x$ are performed using $beta$-expansion even if $nu$ may vary at each iteration. This viewpoint enables us to get the decoded sample, which is equal to the midpoint of the subinterval, and its associated characteristic equation for recovering $beta$ which improves the quantisation error by more than $3{dB}$ when $beta>1.5$. The invariant subinterval under the R'enyi map shows that $nu$ should be set to around the midpoint of its associated greedy and lazy values. %in terms of its quantisation MSE (mean square error). Furthermore, a new A/D converter is introduced called the negative $beta$-encoder, which further improves the quantisation error of the $beta$-encoder. A two-state Markov chain describing the $beta$-encoder suggests that a negative eigenvalue of its associated transition probability matrix reduces the quantisation error." @default.
- W1595296446 created "2016-06-24" @default.
- W1595296446 creator A5011908536 @default.
- W1595296446 creator A5038078845 @default.
- W1595296446 creator A5048374126 @default.
- W1595296446 date "2008-08-19" @default.
- W1595296446 modified "2023-09-27" @default.
- W1595296446 title "Negative Beta Encoder" @default.
- W1595296446 cites W1527312120 @default.
- W1595296446 cites W1528589873 @default.
- W1595296446 cites W1531625368 @default.
- W1595296446 cites W1533006072 @default.
- W1595296446 cites W1968212782 @default.
- W1595296446 cites W1980864082 @default.
- W1595296446 cites W1981663184 @default.
- W1595296446 cites W1989877067 @default.
- W1595296446 cites W1996984927 @default.
- W1595296446 cites W2019972422 @default.
- W1595296446 cites W2033845134 @default.
- W1595296446 cites W2056099894 @default.
- W1595296446 cites W2060659343 @default.
- W1595296446 cites W2060847388 @default.
- W1595296446 cites W2066721861 @default.
- W1595296446 cites W2075383542 @default.
- W1595296446 cites W2077198887 @default.
- W1595296446 cites W2089164015 @default.
- W1595296446 cites W2091647661 @default.
- W1595296446 cites W2099503269 @default.
- W1595296446 cites W2100205120 @default.
- W1595296446 cites W2109018149 @default.
- W1595296446 cites W2116201158 @default.
- W1595296446 cites W2116731474 @default.
- W1595296446 cites W2117569617 @default.
- W1595296446 cites W2124895586 @default.
- W1595296446 cites W2129652681 @default.
- W1595296446 cites W2131228592 @default.
- W1595296446 cites W2141169163 @default.
- W1595296446 cites W2141394273 @default.
- W1595296446 cites W2142362467 @default.
- W1595296446 cites W2149401913 @default.
- W1595296446 cites W2150276418 @default.
- W1595296446 cites W2156969605 @default.
- W1595296446 cites W2159344178 @default.
- W1595296446 cites W2161240462 @default.
- W1595296446 cites W2162346812 @default.
- W1595296446 cites W2477604657 @default.
- W1595296446 cites W2482944896 @default.
- W1595296446 cites W2759147184 @default.
- W1595296446 cites W3172363867 @default.
- W1595296446 cites W650925811 @default.
- W1595296446 hasPublicationYear "2008" @default.
- W1595296446 type Work @default.
- W1595296446 sameAs 1595296446 @default.
- W1595296446 citedByCount "0" @default.
- W1595296446 crossrefType "posted-content" @default.
- W1595296446 hasAuthorship W1595296446A5011908536 @default.
- W1595296446 hasAuthorship W1595296446A5038078845 @default.
- W1595296446 hasAuthorship W1595296446A5048374126 @default.
- W1595296446 hasConcept C105795698 @default.
- W1595296446 hasConcept C11413529 @default.
- W1595296446 hasConcept C114614502 @default.
- W1595296446 hasConcept C118505674 @default.
- W1595296446 hasConcept C118615104 @default.
- W1595296446 hasConcept C134306372 @default.
- W1595296446 hasConcept C151376022 @default.
- W1595296446 hasConcept C199360897 @default.
- W1595296446 hasConcept C2776174256 @default.
- W1595296446 hasConcept C33923547 @default.
- W1595296446 hasConcept C41008148 @default.
- W1595296446 hasConceptScore W1595296446C105795698 @default.
- W1595296446 hasConceptScore W1595296446C11413529 @default.
- W1595296446 hasConceptScore W1595296446C114614502 @default.
- W1595296446 hasConceptScore W1595296446C118505674 @default.
- W1595296446 hasConceptScore W1595296446C118615104 @default.
- W1595296446 hasConceptScore W1595296446C134306372 @default.
- W1595296446 hasConceptScore W1595296446C151376022 @default.
- W1595296446 hasConceptScore W1595296446C199360897 @default.
- W1595296446 hasConceptScore W1595296446C2776174256 @default.
- W1595296446 hasConceptScore W1595296446C33923547 @default.
- W1595296446 hasConceptScore W1595296446C41008148 @default.
- W1595296446 hasLocation W15952964461 @default.
- W1595296446 hasOpenAccess W1595296446 @default.
- W1595296446 hasPrimaryLocation W15952964461 @default.
- W1595296446 hasRelatedWork W1522366274 @default.
- W1595296446 hasRelatedWork W1586179818 @default.
- W1595296446 hasRelatedWork W1637658927 @default.
- W1595296446 hasRelatedWork W1665776648 @default.
- W1595296446 hasRelatedWork W1884337410 @default.
- W1595296446 hasRelatedWork W1957128392 @default.
- W1595296446 hasRelatedWork W1979498038 @default.
- W1595296446 hasRelatedWork W1986342759 @default.
- W1595296446 hasRelatedWork W2003751012 @default.
- W1595296446 hasRelatedWork W2035002659 @default.
- W1595296446 hasRelatedWork W2038565667 @default.
- W1595296446 hasRelatedWork W2046264513 @default.
- W1595296446 hasRelatedWork W2048981998 @default.
- W1595296446 hasRelatedWork W2091343183 @default.
- W1595296446 hasRelatedWork W2092871579 @default.
- W1595296446 hasRelatedWork W2105981945 @default.
- W1595296446 hasRelatedWork W2118312589 @default.