Two binary symmetrical channels are in cascade, as shown in Figure 12 45 Determine the capacity of each channel The overall system with inputs x 1 and x 2 and out puts z 1 and z 2 can be represented as shown with p 11 , p 12 , p 21 , and p 22 properly chosen Determine these four probabilities and the capacity of the overall system Comment on the results Figure 12 45 0 75 0 9 Z1 X10 0 25 0 1 0 25 0 1 Z2 2 X20 0 75 0 9 Channel 2 Channel 1 P11 X1 P12 P21 Z2 P22 Equivalent channel

Question: Two binary symmetrical channels are in cascade, as shown in Figure 12.45. Determine the capacity of each channel. The overall system with inputs x 1

Two binary symmetrical channels are in cascade, as shown in Figure 12.45. Determine the capacity of each channel. The overall system with inputs x₁and x₂and out puts z₁and z₂can be represented as shown with p₁₁, p₁₂, p₂₁, and p₂₂properly chosen. Determine these four probabilities and the capacity of the overall system. Comment on the results.

Figure 12.45

0.75 0.9 Z1 X10 0.25 0.1 0.25 0.1 Z2 2 X20 0.75 0.9 Channel 2 Channel 1 P11 X1 P12 P21 Z2 P22 Equivalent channel

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