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In this paper, we propose a method layering two independent BPSK symbolstreams in parallel transmission through a single additive white Gaussian noise(AWGN) channel and investigate its achievable data rate (ADR). The receiverprocesses the two layered signals individually, where the critical point is totranslate the interference between the two layers into the problem of one BPSKsymbol having two equiprobable amplitudes. After detecting one symbol stream,we subtract the detected result to demodulate the other symbol stream. Based onthe concept of mutual information, we formulate the ADRs and unearth aninteresting phenomenon -- the sum ADR of the two BPSK symbol streams is higherthan the channel capacity at low signal to noise ratio (SNR). Our theoreticalderivations together with illustrative numerical results substantiate thisphenomenon. We refer to this approach as cocktail BPSK because the amplitudesof the two layered BPSK streams can be adjusted at the transmitter to achievehigh spectral efficiency.

Cocktail BPSK: Achievable Data Rate beyond Channel Capacity