Integrated Communication and Bayesian Estimation of Fixed Channel States

IF 3.7 3区计算机科学 Q2 TELECOMMUNICATIONS

IEEE Communications Letters Pub Date : 2024-12-31 DOI:10.1109/LCOMM.2024.3524888

Daewon Seo

引用次数: 0

Abstract

This work studies an information-theoretic performance limit of an integrated sensing and communication (ISAC) system where the goal of sensing is to estimate a random continuous state. Considering the mean-squared error (MSE) for estimation performance metric, the Bayesian Cramér-Rao lower bound (BCRB) is widely used in literature as a proxy of the MSE; however, the BCRB is not generally tight even asymptotically except for restrictive distributions. Instead, we characterize the full tradeoff between information rate and the exact MSE using the asymptotically tight BCRB (ATBCRB) analysis, a recent variant of the BCRB. Our characterization is applicable for general channels as long as the regularity conditions are met, and the proof relies on constant composition codes and ATBCRB analysis with the codes. We also perform a numerical evaluation of the tradeoff in a variance estimation example, which commonly arises in spectrum sensing scenarios.

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固定信道状态的集成通信与贝叶斯估计

本文研究了集成传感与通信（ISAC）系统的信息论性能极限，其中传感的目标是估计随机连续状态。考虑到估计性能指标的均方误差（MSE），文献中广泛使用贝叶斯cram - rao下界（BCRB）作为MSE的代表；然而，除了限制性分布外，BCRB一般都不是紧的，甚至是渐近的。相反，我们使用渐近紧密BCRB （ATBCRB）分析来描述信息率和精确MSE之间的完整权衡，这是BCRB的最新变体。只要满足正则性条件，我们的表征适用于一般信道，并且证明依赖于常数组合码和对代码的ATBCRB分析。我们还在方差估计示例中对权衡进行了数值评估，这通常出现在频谱感知场景中。

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.