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In information theory, a Z-channel with crossover probability p is a binary-input-binary-output channel that flips the input bit 0 with probability p, but maps input bit 1 to 1 with probability 1. The Z-channel has a capacity of

- $log\_2left(1+(1-p)\; p^\{p/(1-p)\}right)\; ,$

bits per channel use. For small p, the capacity is approximated by

- $1-\; 0.5\; H(p)\; ,$

where H(p) is the binary entropy function.

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Last updated on Sunday October 14, 2007 at 17:51:14 PDT (GMT -0700)

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Last updated on Sunday October 14, 2007 at 17:51:14 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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