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arXiv 2602.06247cs.ITmath.IT
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AI受限的流体天线辅助集成感知与通信系统

Information-Theoretic Limits of Fluid Antenna-Aided ISAC with Representation Information Constraints

University College London(伦敦大学学院);Kyung Hee University(庆熙大学);Hong Kong Metropolitan University(香港都会大学)

Farshad Rostami Ghadi, Kai-Kit Wong, F. Javier Lopez-Martinez, Zhentian Zhang, Hyundong Shin, Christos Masouros

AI总结:

本文研究了AI限制下流体天线辅助的集成感知与通信系统的基本限制,揭示了AI瓶颈对通信和感知性能的影响,并推导了容量-失真区域及性能界限。

摘要:

本文研究了在发射端存在人工智能(AI)表示瓶颈且接收端采用流体天线系统(FAS)时集成感知与通信(ISAC)的基本限制。具体而言,信息首先被编码成理想高斯波形,并通过AI编码器映射为有限容量的潜在表示,构成物理信道输入,而FAS接收端选择体验最有利信道条件的端口。我们揭示AI瓶颈等同于加性表示噪声,这会降低所选端口的通信和感知信噪比(SNR)。随后,我们推导出由此产生的ISAC容量-失真区域,并在一般衰落模型下建立紧致的反向和可实现界限,包括贾克斯相关信道。利用贾克斯模型的空间自由度(DoF)特性,我们进一步证明端口选择增益从根本上受FAS区域物理长度的限制:有效分集阶数等于贾克斯相关矩阵的数值秩,并且仅随FAS长度增加而增加。因此,扩大FAS长度可以使所选端口SNR接近AI所施加的上限,推动可实现的通信速率和感知均方误差(MSE)向其AI受限的基本界限发展。数值结果验证了分析和扩展定律。

英文摘要:

This paper characterizes the fundamental limits of integrated sensing and communication (ISAC) when the transmitter is subject to a representation-constrained encoder modeled via a mutual information (MI) bottleneck and the receiver employs a fluid antenna system (FAS). Specifically, the message is first encoded into an ideal Gaussian waveform and then mapped by a stochastic encoder into a finite capacity representation that serves as the channel input in the adopted analytical abstraction, while the FAS receiver selects the port with the most favorable channel conditions. From an information-theoretic perspective, we show that the representation bottleneck is equivalent to an additive representation noise, which reduces both the communication and sensing signal-to-noise ratios (SNRs) at the selected port. We then derive the resulting ISAC capacity-distortion region and establish tight converse and achievability bounds under general fading models, including Jakes correlated channels. Leveraging the spatial degrees of freedom (DoF) characterization of the Jakes' model, we prove that the port selection gain is fundamentally constrained by the physical length of the FAS region: the effective diversity order equals the numerical rank of the Jakes' correlation matrix and increases only with the FAS length. Consequently, enlarging the FAS length allows the selected communication SNR to approach the representation-limited ceiling, driving the achievable rate toward its fundamental bound. The sensing mean square error (MSE) similarly approaches its bound when the selected sensing gain also increases with the FAS aperture. Numerical results corroborate the analysis and scaling laws.

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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