Special Channels in Information Theory
Explore different types of special channels in information theory, including lossless, deterministic, noiseless, and extremely noisy channels, each with unique characteristics affecting entropy and information transmission. See visual channel models for better understanding.
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Presentation Transcript
Other special channels: 1-lossless channel: This has only one nonzero element in each column of the transitional matrix p(Y/X). As an example: This channel has H(X/Y)=0 and I(X,Y)=H(X) with zero losses entropy. (Homework: draw the channel model of this channel).
2-Determinstic channel: This has only one nonzero element in each row of the transitional matrix p(Y/X). As an example: This has H(Y/X)=0 and I(X,Y)=H(Y) with zero noise entropy. (Homework: draw the channel model of this channel).
3-Noiseless channel: This has only one nonzero element in each row and column of the transitional matrix p(Y/X), i.e. it is an identity matrix. As an example: This has H(X/Y)=H(Y/X)=0, and I(X,Y)=H(X)=H(Y). (Homework: draw the channel model of this channel).
3- extremely noisy channel: xi and yj are statistically independent, so I(X,Y) =0
