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We consider the stationaly memoryless channels with input cost. We prove thatfor transmission rates above the capacity the correct probability of decodingtends to zero exponentially as the block length $n$ of codes tends to infinity.In the case where both of channel input and output sets are finite, wedetermine the optimal exponent function on the above exponential decay of thecorrect probability. To derive this result we use a new technique called therecuresive method, which is based on the information spectrum approach. Therecursive method utilize a certain recursive structure on the informationspectrum quantities.

ieice transactions on fundamentals of electronics, communications and computer sciences/ieice transactions on fundamentals of electronics, communications and computer science

Exponent Function for Stationary Memoryless Channels with Input Cost at Rates above the Capacity