Achievable Cutoff Rates of the Additive Exponential Noise Channels

IF 3.7 3区计算机科学 Q2 TELECOMMUNICATIONS

IEEE Communications Letters Pub Date : 2025-01-23 DOI:10.1109/LCOMM.2025.3533262

Lazar S. Stojković;Velimir M. Ilić;Ivan B. Djordjevic

引用次数: 0

Abstract

We derive closed-form expressions for the Gallager error function of the additive exponential noise channels and provide theoretical upper bounds on its maximum over the input probability distribution space (the cutoff rate), thus extending the previous results derived for the additive white Gaussian noise channels. Our theoretical results allow us to design constellations using simple optimization techniques that directly maximize the Gallager error function of the additive exponential noise channels. We perform simulations and show that projected gradient ascent optimization yields constellations competitive to existing ones that are optimized for Shannon information metrics, which require numerical estimation.

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可实现的加性指数噪声信道的截止率

我们推导了加性指数噪声信道的Gallager误差函数的封闭表达式，并给出了其在输入概率分布空间（截止率）上的最大值的理论上界，从而扩展了之前对加性高斯白噪声信道的推导结果。我们的理论结果允许我们使用简单的优化技术来设计星座，直接最大化加性指数噪声通道的加拉格误差函数。我们进行了模拟，并表明预测的梯度上升优化产生的星座与现有的针对香农信息度量优化的星座竞争，这需要数值估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

IEEE Communications Letters 工程技术-电信学

CiteScore

8.10

自引率

7.30%

发文量

590

审稿时长

2.8 months

期刊介绍： The IEEE Communications Letters publishes short papers in a rapid publication cycle on advances in the state-of-the-art of communication over different media and channels including wire, underground, waveguide, optical fiber, and storage channels. Both theoretical contributions (including new techniques, concepts, and analyses) and practical contributions (including system experiments and prototypes, and new applications) are encouraged. This journal focuses on the physical layer and the link layer of communication systems.