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Sliding-block coding for weakly continuous channels

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For a weakly continuous stationary channel with operational sliding-block capacity C_{s} , it is shown that every stationary, ergodic, aperiodic source with entropy less than C_{s} is sliding-block transmissible over the channel. It had been shown earlier that a stationary and ergodic source is block transmissible over the channel if its entropy is less than the operational block capacity C_{b} . If, in addition, the channel is ergodic, it is shown that C_{s}=C_{b} . An example of a nonergodic weakly continuous channel is given for which 0< C_{s}< C_{b} .

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Information Theory, IEEE Transactions on  (Volume:28 ,  Issue: 1 )