算法
数学
协方差
计算机科学
协方差矩阵
基质(化学分析)
插值(计算机图形学)
协方差矩阵的估计
协方差函数
传感器阵列
作者
Seyed MohammadReza Hosseini,Mohammad Ali Sebt
出处
期刊:IEEE Signal Processing Letters
[Institute of Electrical and Electronics Engineers]
日期:2017-05-30
卷期号:24 (7): 1063-1067
被引量:29
标识
DOI:10.1109/lsp.2017.2708750
摘要
Sparse arrays increase aperture and resolution capability for direction-of-arrival estimation. Spatial smoothing step in coarray MUSIC algorithm prevents us from using the full coarray; so, there is a limitation for aperture $N_a$ and degrees of freedom that are determined by minimum redundancy arrays. Interpolation methods can reduce this limitation and make it possible to use the full coarray of partially augmentable arrays. In interpolation methods based on matrix completion techniques, we should complete an $N_a\times N_a$ Toeplitz matrix. For this purpose, a semidefinite programming (SDP) with $O({N_a}^6)$ complexity should be solved. In this letter, we introduce a set that contains arrays that have the equal aperture with original array and have filled coarray. By selecting the array that have minimum number of sensors in this set, we formulate a new structured matrix completion problem. Numerical examples indicate that the proposed structured matrix completion not only decreases the complexity of SDP problem but also, in many instances, increases the estimation accuracy and probability of resolution.
科研通智能强力驱动
Strongly Powered by AbleSci AI