Summary
2020
Session Number:A03
Session:
Number:A03-4
Codes for high-noise memoryless channels
Ilya Dumer, Navid Gharavi,
pp.101-105
Publication Date:2020/10/18
Online ISSN:2188-5079
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Summary:
We consider code design for high-noise memoryless channels, which emerge in various low-power applications, such as IoT or sensor networks. To address this case, we design simple LDPC-type codes that have growing dimension m and length \(m(m+1)/2\). These codes can be regarded as a "weakly-coded" modulation: they outperform uncoded modulation for the signal-to-noise ratios (SNR) above -3 dB per information bit and achieve a 3 dB gain as SNR grows. Similar to uncoded modulation, these codes also exhibit a floor on the output bit error rate (BER) for any \(m\). To improve code performance, information bits are further protected with some polar code of length \(m\). The overall design has low complexity of order \(m^{2}\log m\) and a vanishing BER of order \(\exp\{-m^{1/2}\}\). It substantially outperforms biorthogonal codes for any \(SNR>0\) dB given the same code rate or blocklength.