Question

The capacity of a binary symmetric channel, given H(P) is binary entropy function, is

a) 1-H(P)        b) H(P)-1         c) 1-H(P)2           d) H(P)2-1

Answer 1

p = probability of success of sending bit over the channel.

The binary Entropy function = H(p)
$H(p)=-Log_2\ [ p^p\ (1-p)^{1-p} ]$

For a binary symmetric channel: Capacity C = 1 - H(p)

Answer 2

The capacity of a binary symmetric channel, given H(P) is binary entropy function, is a) 1-H(P)

Explanation:

• The channel capacity of the binary symmetric channel is 1 H(p), where H (p) = p log p (1 p) log (1 p) is the Shannon entropy of a binary distribution with probability p and 1 p.
• The channel capacity of the erasure channel is p, where p is the chance that the transmitted bit is not erased.
• A binary symmetric channel is a communications channel model that is commonly used in coding theory and information theory. In this approach, the transmitter sends a bit (either a zero or a one), and the receiver receives a bit.
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