Channel

Capacity of cascade binary symmetric channels

Capacity of cascade binary symmetric channels
  1. What is the capacity of binary symmetric channel?
  2. What is cascaded channels?
  3. What is meant by binary symmetric channel?
  4. How to find the equivalent channel matrix when two BSC are connected in cascaded form?

What is the capacity of binary symmetric channel?

The capacity of the binary symmetric channel is C = 1 − H(p) bits per transmission, and the capacity of the binary erasure channel is C = 1 − α bits per transmission.

What is cascaded channels?

(a) The transition from one generation to the next can be modelled as communication of information through a noisy channel. Thus, long waiting times can be modelled as a cascade of similar channels.

What is meant by binary symmetric channel?

Definition 1.1

The Binary Symmetric Channel has input and output alphabets equal to 0, 1. The probability that a received symbol is actually equal to the transmitted symbol is given by 1 − p, while the probability that they are not equal to each other is p, for some 0 ≤ p ≤ 1.

How to find the equivalent channel matrix when two BSC are connected in cascaded form?

First, we need to find the equivalent channel matrix: X = YI = (0.75*0.75) + (0.65*0.65) = 0.82 + 0.18 = 1.12 Next, we need to determine the overall channel capacity: C = X*P(x) + Y*P(y) = 1.12*0.65 + 1.12*0.75 = 0.86 Finally, we can determine the efficiency and redundancy: E = C/P(x) = 0.86/0.65 = 1.4 Efficiency is ...

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