Beamforming Design for Integrated Sensing and Communication with Extended Target
CoRR(2023)
摘要
This paper studies transmit beamforming design in an integrated sensing and
communication (ISAC) system, where a base station sends symbols to perform
downlink multi-user communication and sense an extended target simultaneously.
We first model the extended target contour with truncated Fourier series. By
considering echo signals as reflections from the valid elements on the target
contour, a novel Cram\'er-Rao bound (CRB) on the direction estimation of
extended target is derived. We then formulate the transmit beamforming design
as an optimization problem by minimizing the CRB of radar sensing, and
satisfying a minimum signal-to-interference-plus-noise ratio requirement for
each communication user, as well as a 3-dB beam coverage requirement tailored
for the extended sensing target under a total transmit power constraint. In
view of the non-convexity of the above problem, we employ semidefinite
relaxation (SDR) technique for convex relaxation, followed by a rank-one
extraction scheme for non-tight relaxation circumstances. Numerical results
show that the proposed SDR beamforming scheme outperforms benchmark beampattern
design methods with lower CRBs for the circumstances considered.
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关键词
Beamforming Design,Extended Target,Optimization Problem,Communication Systems,Base Station,Power Constraint,Echo Signal,Cramer-Rao Lower Bound,Semidefinite Relaxation,Beamforming Scheme,Communication Users,Covariance Matrix,Invertible,Additive Noise,Unknown Parameters,Local Coordinate,Communication Performance,Path Loss,Fisher Information Matrix,Signal-to-interference-plus-noise Ratio,Radar Cross Section,Semidefinite Programming,Fisher Information,Semidefinite Programming Problem,Origin Of The Coordinate System,Uniform Linear Array,Global Coordinate System,Wide-sense Stationary
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