Z-channel (information theory)

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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_2\left(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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