In many channels, the transmitted signals do not only face noise, but offset mismatch as well. In the prior art, maximum likelihood (ML) decision criteria have already been developed for noisy channels suffering from signal independent offset. In this paper, such ML criterion is considered for the case of binary signals suffering from Gaussian noise and signal dependent offset. The signal dependency of the offset signifies that it may differ for distinct signal levels, i.e., the offset experienced by the zeroes in a transmitted codeword is not necessarily the same as the offset for the ones. Besides the ML criterion itself, also an option to reduce the complexity is considered. Further, a brief performance analysis is provided, confirming the superiority of the newly developed ML decoder over classical decoders based on the Euclidean or Pearson distances.

中文翻译：

---

具有高斯噪声和信号相关偏移的信道的最大似然解码

在许多信道中，传输的信号不仅面临噪声，而且还面临偏移失配。在现有技术中，已经为遭受信号独立偏移的噪声信道开发了最大似然(ML)决策标准。在本文中，针对具有高斯噪声和信号相关偏移的二进制信号的情况考虑了这种 ML 标准。偏移量的信号相关性表示它对于不同的信号电平可能不同，即，传输的码字中零所经历的偏移量不一定与零点的偏移量相同。除了 ML 标准本身，还考虑了降低复杂性的选项。此外，还提供了简要的性能分析，