A Simple Family of Non-Linear Analog Codes

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IEEE Communications Letters
We propose novel non-linear graph-based analog codes that directly encode k real-valued source samples into n real-valued samples by using (non-linear) sample-by-sample soft quantization of the input samples followed by a linear transformation on the soft-quantized values. Different from existing analog coding schemes, the proposed analog codes are able to produce additional output symbols in a rateless manner and can be decoded utilizing message passing algorithms dealing with real-valued nodes, achieving a performance close to the theoretical limits.
This article was originally published in IEEE Communications Letters. The version of record is available at: https://doi.org/10.1109/LCOMM.2023.3316611. © 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. This article will be embargoed until 09/18/2025.
Analog coding, non-linear codes, sparse codes, iterative decoding
M. E. Burich and J. Garcia-Frias, "A Simple Family of Non-Linear Analog Codes," in IEEE Communications Letters, vol. 27, no. 11, pp. 2889-2893, Nov. 2023, doi: 10.1109/LCOMM.2023.3316611.