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基于广义多项式因式分解的稀疏周期线阵设计。

General polynomial factorization-based design of sparse periodic linear arrays.

机构信息

Ming Hsieh Department of Electrical Engineering, University of Southern California, Los Angeles, CA, USA.

出版信息

IEEE Trans Ultrason Ferroelectr Freq Control. 2010 Sep;57(9):1952-66. doi: 10.1109/TUFFC.2010.1643.

DOI:10.1109/TUFFC.2010.1643
PMID:20875985
Abstract

We have developed several methods of designing sparse periodic arrays based upon the polynomial factorization method. In these methods, transmit and receive aperture polynomials are selected such that their product results in a polynomial representing the desired combined transmit/receive (T/R) effective aperture function. A desired combined T/R effective aperture is simply an aperture with an appropriate width exhibiting a spectrum that corresponds to the desired two-way radiation pattern. At least one of the two aperture functions that constitute the combined T/R effective aperture function will be a sparse polynomial. A measure of sparsity of the designed array is defined in terms of the element reduction factor. We show that elements of a linear array can be reduced with varying degrees of beam mainlobe width to sidelobe reduction properties.

摘要

我们已经开发了几种基于多项式分解方法设计稀疏周期阵列的方法。在这些方法中,选择发射和接收口径多项式,使得它们的乘积产生表示所需的组合发射/接收(T/R)有效口径函数的多项式。所需的组合 T/R 有效口径仅是具有适当宽度的孔径,其频谱对应于所需的双向辐射图。构成组合 T/R 有效口径函数的两个口径函数之一将是稀疏多项式。设计阵列的稀疏度的度量是根据元件减少因子来定义的。我们表明,线性阵列的元件可以在不同程度的主瓣宽度下减少,以获得旁瓣减少特性。

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