Compressed Arrays and Hybrid Channel Sensing: A Cramer-Rao Bound Based Analysis

被引:3
|
作者
Koochakzadeh, Ali [1 ]
Pal, Piya [1 ]
机构
[1] Univ Calif San Diego, Dept Elect & Comp Engn, La Jolla, CA 92093 USA
基金
美国国家科学基金会;
关键词
Antenna measurements; Sensor arrays; Geometry; Linear antenna arrays; Sparse matrices; Compressed arrays; cramer rao bounds; hybrid beamforming; mmwave channel sensing; sparse arrays; NESTED ARRAYS; SPARSE; IDENTIFIABILITY; LOCALIZATION;
D O I
10.1109/LSP.2020.3013767
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This letter provides a Cramer-Rao Bound (CRB) based analysis of compressive arrays with applications in mmWave channel sensing, where the measurements at the output of an antenna array are further compressed using a complex-valued compression matrix, in order to reduce the system complexity and power consumption. While necessary conditions for the existence of CRB for compressed arrays have been recently derived, currently no sufficient conditions exist that can guarantee the existence of the CRB in different compressive regimes, and therefore can be used to guide the design of the overall system. We overcome this drawback by deriving tight sufficient conditions (that agree with the necessary conditions) for almost all choices of the compression matrix. Our results decisively demonstrate the additional benefit gained by using sparse arrays (such as nested array) even when a compression matrix is deployed.
引用
收藏
页码:1395 / 1399
页数:5
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