concatenation of channels

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Assuming I have 2 channels:

  1. BSC => Z

  2. Z=> BSC

the first channel is a concatenation of the BSC channel and then the Z channel. the second channel is a concatenation of the Z channel and then the BSC channel.

Where the Z channel is as defined in here and the BSC channel is as defined in here

How can I know which channel has an higher capacity. Is there a difference in the order of the concatenation?

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Hint: the concatenation of two binary channels is another binary channel, just compute the four transition probabilities