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A method is proposed, referred to as the cocktail BPSK, to use twoindependent BPSK streams layered in a parallel transmission through theadditive white Gaussian channel. The critical point of the method is totranslate the interference between the two layered symbols into a problem ofone symbol with two possible amplitudes, whereby we find that the achievabledata rate (ADR) of the first layer equals to the channel capacity at zerosignal-to-noise-ratio limit. By adding the contribution of the second layer, wefind that the total ADR of the two layers can be larger than the channelcapacity. The theoretical proof is done based on the mutual information and thenumerical results are added for the confirmation.

A Method Beyond Channel Capacity in the Low SNR Regime: Theoretical Proof and Numerical Confirmation