Sensing Mutual Information with Random Signals in Gaussian Channels

Sensing performance is typically evaluated by classical metrics, such as Cramer-Rao bound and signal- to-clutter-plus-noise ratio. The recent development of the integrated sensing and communication (ISAC) framework motivated the efforts to unify the metric for sensing and communication, where resear...

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Bibliographic Details
Published in:IEEE International Conference on Communications (2003) pp. 2228 - 2233
Main Authors: Xie, Lei, Liu, Fan, Xie, Zhanyuan, Jiang, Zheng, Song, Shenghui
Format: Conference Proceeding
Language:English
Published: IEEE 09.06.2024
Subjects:
Accuracy
Closed-form solutions
Design methodology
Integrated sensing and communication
Measurement
precoder design
random signal
sensing degree of freedom
sensing mutual information
Simulation
Upper bound
ISSN:1938-1883
Online Access:Get full text
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Summary:Sensing performance is typically evaluated by classical metrics, such as Cramer-Rao bound and signal- to-clutter-plus-noise ratio. The recent development of the integrated sensing and communication (ISAC) framework motivated the efforts to unify the metric for sensing and communication, where researchers have proposed to utilize mutual information (MI) to measure the sensing performance with deterministic signals. However, the need to communicate in ISAC systems necessitates the use of random signals for sensing applications and the closed-form evaluation for the sensing mutual information (SMI) with random signals is not yet available in the literature. This paper investigates the SMI and precoder design for sensing applications with random signals. For that purpose, we first derive the closed-form expression for the SMI with random signals by utilizing random matrix theory. The result reveals some interesting physical insights regarding the relation between the SMI with deterministic and random signals. The derived SMI is then utilized to optimize the precoder by leveraging a manifold-based optimization approach. The accuracy of the theoretical analysis and the effectiveness of the proposed precoder design method are validated by simulation results.
ISSN:1938-1883
DOI:10.1109/ICC51166.2024.10622618