[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/en\/wiki14\/arbitrarily-varying-channel-wikipedia\/#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/en\/wiki14\/arbitrarily-varying-channel-wikipedia\/","headline":"Arbitrarily varying channel – Wikipedia","name":"Arbitrarily varying channel – Wikipedia","description":"before-content-x4 An arbitrarily varying channel (AVC) is a communication channel model used in coding theory, and was first introduced by","datePublished":"2016-06-18","dateModified":"2016-06-18","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/en\/wiki14\/author\/lordneo\/#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/en\/wiki14\/author\/lordneo\/","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/6f305e136d6d5ea97d6abc8d333894f20f297ed4","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/6f305e136d6d5ea97d6abc8d333894f20f297ed4","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/en\/wiki14\/arbitrarily-varying-channel-wikipedia\/","wordCount":23381,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4An arbitrarily varying channel (AVC) is a communication channel model used in coding theory, and was first introduced by Blackwell, Breiman, and Thomasian.  This particular channel has unknown parameters that can change over time and these changes may not have a uniform pattern during the transmission of a codeword. n{displaystyle textstyle n}       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4 uses of this channel can be described using a stochastic matrix Wn:Xn\u00d7{displaystyle textstyle W^{n}:X^{n}times } Sn\u2192Yn{displaystyle textstyle S^{n}rightarrow Y^{n}}, where        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4X{displaystyle textstyle X} is the input alphabet, Y{displaystyle textstyle Y} is the output alphabet, and Wn(y|x,s){displaystyle textstyle W^{n}(y|x,s)} is the probability over a given set of states S{displaystyle textstyle S}, that the transmitted input        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4x=(x1,\u2026,xn){displaystyle textstyle x=(x_{1},ldots ,x_{n})} leads to the received output y=(y1,\u2026,yn){displaystyle textstyle y=(y_{1},ldots ,y_{n})}.  The state si{displaystyle textstyle s_{i}} in set S{displaystyle textstyle S} can vary arbitrarily at each time unit i{displaystyle textstyle i}.  This channel was developed as an alternative to Shannon’s Binary Symmetric Channel (BSC), where the entire nature of the channel is known, to be more realistic to actual network channel situations.Table of ContentsCapacities and associated proofs[edit]Capacity of deterministic AVCs[edit]Capacity of AVCs with input and state constraints[edit]Capacity of randomized AVCs[edit]See also[edit]References[edit]Capacities and associated proofs[edit]Capacity of deterministic AVCs[edit]An AVC’s capacity can vary depending on the certain parameters.R{displaystyle textstyle R} is an achievable rate for a deterministic AVC code if it is larger than 0{displaystyle textstyle 0}, and if for every positive \u03b5{displaystyle textstyle varepsilon } and \u03b4{displaystyle textstyle delta }, and very large n{displaystyle textstyle n}, length-n{displaystyle textstyle n} block codes exist that satisfy the following equations: "},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/en\/wiki14\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/en\/wiki14\/arbitrarily-varying-channel-wikipedia\/#breadcrumbitem","name":"Arbitrarily varying channel – Wikipedia"}}]}]