Find the input probability distribution

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The channel C (known as the Z channel) is shown in Figure P6.71.

1. Find the input probability distribution that achieves capacity.

2. What is the input distribution and capacity for the special cases ε = 0, ε = 1, and ε = 0.57?

3. Show that if n such channels are cascaded, the resulting channel will be equivalent to a Z channel with ε1 = εn.

4. What is the capacity of the equivalent Z channel when n → ∞?

Reference no: EM131358848

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