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首页> 外文期刊>Antennas and Propagation, IEEE Transactions on >Synthesis of Nonuniformly Spaced Linear Arrays With Frequency-Invariant Patterns by the Generalized Matrix Pencil Methods
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Synthesis of Nonuniformly Spaced Linear Arrays With Frequency-Invariant Patterns by the Generalized Matrix Pencil Methods

机译：广义矩阵铅笔法合成频率不变模式的非均匀间隔线性阵列

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摘要

This work extends the matrix pencil method (MPM)-based synthesis technique to the case of nonuniformly spaced linear arrays with wideband frequency-invariant (FI) patterns. A new sampling strategy is proposed to obtain multiple pattern data of different frequencies having the same poles that correspond to the FI element positions. The obtained multiple pattern sequences have the same shape for the FI pattern requirement, but with different lengths. The generalized MPM (GMPM) and its forward–backward version (GFBMPM) are developed to estimate the best common element positions for different frequencies, which can significantly reduce the number of elements required for the specified wideband pattern shape. The element excitations are solved by the regularized least-square (LS) method at each frequency. Then, an efficient method by utilizing the FFT is presented to obtain real-coefficient finite-impulse-response (FIR) filters for implementing the frequency-varying excitations. A set of numerical examples for the FI synthesis of pencil-beams, shaped patterns, scannable patterns, and Taylor patterns with low SLLs are presented to validate the effectiveness and advantages of the proposed methods. The element saving is about 11.2%–49.4% for usual cases.
机译：这项工作将基于矩阵铅笔方法（MPM）的合成技术扩展到具有宽带频率不变（FI）模式的非均匀间隔线性阵列的情况。提出了一种新的采样策略，以获得具有与FI元素位置相对应的相同极点的不同频率的多个模式数据。对于FI模式要求，所获得的多个模式序列具有相同的形状，但是长度不同。通用MPM（GMPM）及其前后版本（GFBMPM）的开发是为了估计不同频率的最佳公共元素位置，这可以显着减少指定宽带图案形状所需的元素数量。元素激励通过每个频率的正则化最小二乘（LS）方法求解。然后，提出了一种利用FFT的有效方法，以获得用于实现频率变化激励的实系数有限冲激响应（FIR）滤波器。提出了一组数字示例，用于FI合成铅笔束，形状图案，可扫描图案和具有低SLL的Taylor图案，以验证所提出方法的有效性和优势。通常情况下，元素节省约为11.2％–49.4％。

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