Find input probability distribution that achieves capacity

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Reference no: EM131409000

The channel C is (known as the Z channel) shown in Figure P-12.43.

1. Find the input probability distribution that achieves capacity.

2. What is the input distribution and capacity for the special cases ? = 0, ? = 1, and ? = 0.5?

3. Show that if n such channels are cascaded, the resulting channel will be equivalent to a Z channel with ?1 = ?ⁿ.

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

Reference no: EM131409000

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