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arXiv 0810.1980cs.ITmath.IT
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干扰信道下最佳译码的误差指数

Error Exponents of Optimum Decoding for the Interference Channel

Raul Etkin, Neri Merhav, Erik Ordentlich

摘要:

本文研究了随机编码条件下,具有两个收发机对的有限字母干扰信道(IFC)的指数误差界。我们的重点是最佳解码,而不是启发式的解码规则,已在以前的作品中使用,如联合典型性解码,解码的基础上干扰消除,解码认为干扰作为额外的噪声。实际上,实际干扰信号是码字而不是i.i.d.噪声处理使传统技术应用于最佳解码器的性能分析变得复杂。使用植根于统计物理学的分析工具,我们推导出一个单一的字母表达式下实现最佳解码的错误指数,并证明严格的改善,可获得使用次优解码规则的错误指数,但这是服从更传统的分析。

英文摘要:

Exponential error bounds for the finite-alphabet interference channel (IFC) with two transmitter-receiver pairs, are investigated under the random coding regime. Our focus is on optimum decoding, as opposed to heuristic decoding rules that have been used in previous works, like joint typicality decoding, decoding based on interference cancellation, and decoding that considers the interference as additional noise. Indeed, the fact that the actual interfering signal is a codeword and not an i.i.d. noise process complicates the application of conventional techniques to the performance analysis of the optimum decoder. Using analytical tools rooted in statistical physics, we derive a single letter expression for error exponents achievable under optimum decoding and demonstrate strict improvement over error exponents obtainable using suboptimal decoding rules, but which are amenable to more conventional analysis.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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