基于酉变换-矩阵束的稀布线阵方向图综合

沈海鸥; 王布宏; 刘新波

doi:10.11999/JEIT151437

基于酉变换-矩阵束的稀布线阵方向图综合

doi: 10.11999/JEIT151437

基金项目:

国家自然科学基金(61172148)

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- 被引次数: 0
出版历程
- 收稿日期: 2015-12-17
- 修回日期: 2016-05-23
- 刊出日期: 2016-10-19

Sparse Array Pattern Synthesis Using Unitary Transformation Matrix Pencil Method

Funds:

The National Natural Science Foundation of China (61172148)

摘要

摘要: 该文提出一种非迭代的稀布线阵方向图综合方法。该方法首先对方向图采样数据进行centro-Hermit化处理，然后通过酉变换构造等价实矩阵束，得到非均匀单元位置与新矩阵束广义特征值的关系。在此基础上，对实矩阵奇异值分解，并舍弃非主要奇异值以获得低阶左奇异向量矩阵，进而求得稀布阵列的阵元位置和相应激励。相比于其他方法，该方法能够直接得到阵元位置的实数解，奇异值分解和特征值分解均在实数域进行，提高逼近程度的同时有效降低了计算量，仿真验证了该方法利用少量阵元即可高效实现线阵的方向图综合。
- 稀疏布阵 /
- Centro-Hermit矩阵 /
- 酉变换 /
- 矩阵束 /
- 方向图综合
Abstract: A novel non-iterative method, named unitary matrix pencil method, is presented in this paper for the pattern synthesis of sparse linear arrays. Through unitary transformation of the centro-Hermit matrix constructed using sample data of the desired pattern, an equivalent real-valued matrix pencil can be achieved so as to determine the relation between non-uniform element positions and new generalized eigenvalues. Then, the lower order left singular vector matrix can be obtained by discarding the non-principal singular values generated by Singular Value Decomposition (SVD) of the real-valued matrix. The element positions and excitations are thereby estimated efficiently. Compared with other algorithms, this method can be utilized to directly obtain the real-valued solution of sparse array locations. Furthermore, Singular Value Decomposition (SVD) and Eigen Value Decomposition (EVD) are computed in the real-valued field with a lower computational cost. Simulation results validate the high-efficiency of the proposed synthesis method for the design of arbitrary linear array pattern with a fewer number of antenna elements.
- Sparse array /
- Centro-Hermit matrix /
- Unitary transformation /
- Matrix Pencil Method (MPM) /
- Pattern synthesis

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参考文献(23)

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