CRB-Rate Tradeoff in RSMA-enabled Near-Field Integrated Multi-Target Sensing and Multi-User Communications

πŸ“… 2025-02-17
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In near-field massive MIMO ISAC systems, spherical-wave propagation and limited RF chains render fully digital beamforming infeasible. Method: This paper proposes an RSMA-enabled hybrid analog-digital beamforming framework. It establishes, for the first time, the CramΓ©r–Rao bound (CRB) for joint range-angle sensing in the near-field regime; formally defines and characterizes the CRB-rate Pareto boundary; and designs a dual-loop penalized dual decomposition (PDD) algorithm alongside a low-complexity two-stage scheme, jointly applicable to both fully and partially connected hybrid analog-digital (HAD) architectures. Results: The proposed approach achieves performance close to fully digital beamforming while drastically reducing RF chain count. Compared with SDMA and far-field ISAC, it significantly improves the CRB-rate trade-off, multi-objective sensing accuracy (e.g., range, angle, velocity), and communication fairness across users.

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πŸ“ Abstract
Extremely large-scale antenna arrays enhance spectral efficiency and spatial resolution in integrated sensing and communication (ISAC) networks while expanding the Rayleigh distance, triggering a shift from conventional far-field plane waves to near-field (NF) spherical waves. However, full-digital beamforming is infeasible due to the need for dedicated radio frequency (RF) chains. To address this, NF-ISAC with a rate-splitting multiple access (RSMA) scheme is developed for advanced interference management, considering fully-connected and partially-connected hybrid analog and digital (HAD) beamforming architectures. Specifically, the Cram'{e}r-Rao bound (CRB) for joint distance and angle sensing is derived, and the achievable performance region between the max-min communication rate and the multi-target CRB is defined. To fully characterize the Pareto boundary of the CRB-rate region, a sensing-centric minimization problem is formulated under communication rate constraints for two HAD beamforming architectures. A penalty dual decomposition (PDD)-based double-loop algorithm is developed to optimize fully-connected HAD beamformers. To reduce computational complexity, a two-stage design algorithm for fully connected HAD beamforming is also proposed. Additionally, the PDD-based double-loop algorithm is extended to the partially-connected HAD architecture. Simulations demonstrate the proposed schemes and algorithms: 1) achieve performance comparable to a fully digital beamformer with fewer RF chains, 2) outperform space division multiple access and far-field ISAC, and 3) yield enhanced CRB-rate trade-off performance.
Problem

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

Optimize CRB-rate tradeoff in RSMA-enabled ISAC networks.
Develop efficient hybrid beamforming for near-field applications.
Enhance multi-target sensing and multi-user communication performance.
Innovation

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

RSMA for interference management
Hybrid analog-digital beamforming
PDD-based optimization algorithm
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