2024/01/30 by Mohammad Ali Maddah-Ali, Maddah-Ali, Mohammad Ali, Soheil Mohajer +1
Engineering · Computer Science · #Advanced Wireless Communication Techniques #Power Line Communications and Noise #VLSI and Analog Circuit Testing
paper · pdf · doi:10.48550/arxiv.2401.17419
In this paper, we investigate the problem of transmitting an analog source to a destination over N uses of an additive-white-Gaussian-noise (AWGN) channel, where N is very small (in the order of 10 or even less). The proposed coding scheme is based on representing the source symbol using a novel progressive expansion technique, partitioning the digits of expansion into N ordered sets, and finally mapping the symbols in each set to a real number by applying the reverse progressive expansion. In the last step, we introduce some gaps between the signal levels to prevent the carry-over of the additive noise from propagation to other levels. This shields the most significant levels of the signal from an additive noise, hitting the signal at a less significant level. The parameters of the progressive expansion and the shielding procedure are opportunistically independent of the \SNR so that the proposed scheme achieves a distortion D, where -log(D) is within O(loglog(\SNR)) of the optimal performance for all values of \SNR, leading to a channel-agnostic scheme.