MO4.R4.1

Few-Shot Channel-Agnostic Analog Coding: A Near-Optimal Scheme

Mohammad Ali Maddah-Ali, Soheil Mohajer, University of Minnesota, United States

Session:
Joint Source-Channel Coding

Track:
10: Source Coding and Data Compression

Location:
Omikron II

Presentation Time:
Mon, 8 Jul, 16:25 - 16:45

Session Chair:
Neri Merhav, Technion - Israel Institute of Technology
Abstract
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 $O(\log\log(\SNR))$ of the optimal performance for all values of $\SNR$, leading to a channel-agnostic scheme.
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