Sliding-block coding for weakly continuous channels
John C. Kieffer · IEEE Transactions on Information Theory · 1982
For a weakly continuous stationary channel with operational sliding-block capacityC_{s}, it is shown that every stationary, ergodic, aperiodic source with entropy less thanC_{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 capacityC_{b}. If, in addition, the channel is ergodic, it is shown thatC_{s}=C_{b}. An example of a nonergodic weakly continuous channel is given for which0<C_{s}