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基于酉變換-矩陣束的稀布線陣方向圖綜合

沈海鷗,  王布宏,  劉新波

沈海鷗, 王布宏, 劉新波. 基于酉變換-矩陣束的稀布線陣方向圖綜合[J]. 電子與信息學(xué)報(bào), 2016, 38(10): 2667-2673. doi: 10.11999/JEIT151437
引用本文: 沈海鷗, 王布宏, 劉新波. 基于酉變換-矩陣束的稀布線陣方向圖綜合[J]. 電子與信息學(xué)報(bào), 2016, 38(10): 2667-2673. doi: 10.11999/JEIT151437
SHEN Haiou, WANG Buhong, LIU Xinbo. Sparse Array Pattern Synthesis Using Unitary Transformation Matrix Pencil Method[J]. Journal of Electronics & Information Technology, 2016, 38(10): 2667-2673. doi: 10.11999/JEIT151437
Citation: SHEN Haiou, WANG Buhong, LIU Xinbo. Sparse Array Pattern Synthesis Using Unitary Transformation Matrix Pencil Method[J]. Journal of Electronics & Information Technology, 2016, 38(10): 2667-2673. doi: 10.11999/JEIT151437

基于酉變換-矩陣束的稀布線陣方向圖綜合

doi: 10.11999/JEIT151437
基金項(xiàng)目: 

國家自然科學(xué)基金(61172148)

Sparse Array Pattern Synthesis Using Unitary Transformation Matrix Pencil Method

Funds: 

The National Natural Science Foundation of China (61172148)

  • 摘要: 該文提出一種非迭代的稀布線陣方向圖綜合方法。該方法首先對方向圖采樣數(shù)據(jù)進(jìn)行centro-Hermit化處理，然后通過酉變換構(gòu)造等價(jià)實(shí)矩陣束，得到非均勻單元位置與新矩陣束廣義特征值的關(guān)系。在此基礎(chǔ)上，對實(shí)矩陣奇異值分解，并舍棄非主要奇異值以獲得低階左奇異向量矩陣，進(jìn)而求得稀布陣列的陣元位置和相應(yīng)激勵(lì)。相比于其他方法，該方法能夠直接得到陣元位置的實(shí)數(shù)解，奇異值分解和特征值分解均在實(shí)數(shù)域進(jìn)行，提高逼近程度的同時(shí)有效降低了計(jì)算量，仿真驗(yàn)證了該方法利用少量陣元即可高效實(shí)現(xiàn)線陣的方向圖綜合。
    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.
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出版歷程
  • 收稿日期:  2015-12-17
  • 修回日期:  2016-05-23
  • 刊出日期:  2016-10-19

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