Cramér-Rao Bound Analysis for Cell-Free ISAC Systems with Fluid Intelligent Metasurfaces

📅 2026-08-17
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🤖 AI Summary
This study addresses the morphological utilization limitations in single-base-station fluid intelligent metasurface integrated sensing and communication systems by proposing a distributed fluid intelligent metasurface architecture. By deriving the Cramér-Rao Bound for localization and proving the tightness of semidefinite relaxation, this work reveals the cell-free information coupling mechanism and the amplification effect of distributed angular diversity on morphological gain. Furthermore, a joint beamforming and morphology alternating optimization algorithm is designed. Experimental results demonstrate that the proposed scheme reduces the localization CRB by 4.5 dB and achieves a morphological gain of 15.8 dB. Consequently, this approach significantly enhances sensing performance while maintaining communication quality, effectively overcoming traditional deployment bottlenecks.
📝 Abstract
Fluid intelligent metasurface (FIM) is an emerging antenna architecture that continuously reshapes its physical geometry to optimize wireless performance. While existing studies on FIM-aided integrated sensing and communication (ISAC) rely on co-located single-base-station (BS) deployments, they fundamentally underutilize FIM's morphological flexibility due to restricted observation angles. In this paper, we investigate a FIM-augmented cell-free ISAC architecture, where distributed access points (APs) collaboratively observe a target from diverse angles. We derive the complete Fisher information matrix for target angle estimation and obtain a closed-form localization CRB that explicitly quantifies the angular diversity gain. By analyzing the block structure of the Fisher information matrix, we uncover three cell-free-specific phenomena: (i) cross-AP information coupling, (ii) multiplicative Tx--Rx FIM coupling, and (iii) angular diversity amplification. Under a 28\,GHz configuration with four APs and eight FIM elements per AP, our analysis shows that distributed angular diversity amplifies the FIM morphing gain to 15.8\,dB, compared to only 0.4\,dB in a single-AP pair deployment with the same total antenna count. We further propose an alternating optimization algorithm for joint beamforming and FIM shape design via semidefinite relaxation whose tightness is formally proved. Numerical results confirm that the proposed cell-free FIM-ISAC architecture achieves a 4.5\,dB localization CRB reduction over the single-AP fixed-array baseline at 10\,dB sensing SNR while maintaining communication quality-of-service constraints across the entire Pareto frontier.
Problem

Research questions and friction points this paper is trying to address.

Cell-Free ISAC
Fluid Intelligent Metasurface
Cramér-Rao Bound
Angular Diversity
Target Localization
Innovation

Methods, ideas, or system contributions that make the work stand out.

Fluid Intelligent Metasurface
Cell-Free ISAC
Cramér-Rao Bound
Angular Diversity
Joint Beamforming and Shape Design
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