We consider the additive white Gaussian noise channels. We prove that the error probability of decoding tends to one exponentially for rates above the capacity and derive the optimal exponent function. We shall demonstrate that the information spectrum approach is quite useful for investigating this problem.
On Achievable Rates of AWGN Energy-Harvesting Channels with Block Energy Arrival and Non-Vanishing Error Probabilities
Achievable Rates for Gaussian Degraded Relay Channels with Non-Vanishing Error Probabilities
Bounds on the Error Probability of Raptor Codes
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