Fundamental CRB-Rate Trade-Off in ISAC Systems Under Correlated Communication-Sensing Channel

Integrated sensing and communication (ISAC) has been esteemed as a pivotal driver for the next-generation wireless networks in achieving dual-function spectrum efficiency. In typical ISAC systems, user equipment and targets are treated as distinct entities, operating without interaction between the...

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Vydáno v:IEEE transactions on communications Ročník 73; číslo 11; s. 10724 - 10737
Hlavní autoři: Bian, Mengqi, Shi, Yunmei, Huang, Xin-Lin
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York IEEE 01.11.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:
Closed-form solutions
Communication
Covariance matrices
Covariance matrix
Cramer-Rao bounds
Cramér-Rao bound (CRB)
CRB-Rate trade-off
Delays
Integrated sensing and communication
integrated sensing and communication (ISAC)
Location awareness
Millimeter wave communication
OFDM
Optimization
Performance measurement
Position errors
Radar
Tradeoffs
Transmission precoder design
Vectors
Wireless networks
ISSN:0090-6778, 1558-0857
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Shrnutí:Integrated sensing and communication (ISAC) has been esteemed as a pivotal driver for the next-generation wireless networks in achieving dual-function spectrum efficiency. In typical ISAC systems, user equipment and targets are treated as distinct entities, operating without interaction between the communication and sensing functionalities. However, in scenarios where the user and target align as a unified entity, current solutions underperform due to the coupled performance metrics involving the achievable rate and the sensing Cramér-Rao Bound (CRB). To address this issue, focusing on this particular scenario, this paper delves into the design of optimal transmission precoder and conducts a fundamental trade-off analysis between the achievable rate and the target sensing CRB. Firstly, we derive a compact expression of the CRB, characterized by the angle and delay parameters of the sensing channel, thereby obtaining the subsequent position error bound (PEB) by exploiting the inherent connection between the PEB and CRB. Next, we aim to design the optimal precoder matrix to minimize the PEB, subject to constrains on the minimum communication rate and total transmit power budget. By leveraging the structural properties of the precoder covariance matrix, we develop an efficient algorithm to devise a closed-form optimal precoder design. Numerical results demonstrate that our proposal yields a favorable CRB-Rate trade-off across various scenarios, closely aligning with the performance of semi-definite relaxation (SDR)-based optimization scheme.
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ISSN:0090-6778
1558-0857
DOI:10.1109/TCOMM.2025.3588613