A non-circular sources direction finding method using polynomial rooting

Pascal Charge; Yide Wang; Joseph Saillard

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A non-circular sources direction finding method using polynomial rooting

机译：一种基于多项式生根的非圆形声源测向方法

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摘要

In this paper, we present a new direction finding algorithm for non-circular sources based on the polynomial rooting technique. Due to the non-circularity characteristics of the impinging sources, the proposed method is able to handle more sources than sensors. Using polynomial rooting instead of a searching technique limits the method to linear uuiformly spaced arrays. Polynomial rooting, however, reduces computation cost and enhances resolution power significantly.

机译：在本文中，我们提出了一种基于多项式生根技术的非圆形声源测向算法。由于撞击源的非圆形特性，所提出的方法比传感器能够处理更多的源。使用多项式求根而不是搜索技术会将方法限制为线性等距间隔的数组。但是，多项式求根可降低计算成本并显着提高分辨率。

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《Signal processing》 |2001年第8期|p.1765-1770|共6页
作者
Pascal Charge; Yide Wang; Joseph Saillard;
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原文格式 PDF
正文语种 eng
中图分类通信;
关键词
Array processing; Non-circular sinals; Root-MUSIC;

机译：数组处理;非圆形鼻窦;根音乐;

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专利

1. Five themes in Chebyshev spectral methods applied to the regularized Charney eigenproblem: Extra numerical boundary conditions, a boundary-layer-resolving change of coordinate, parameterizing a curve which is singular at an endpoint, extending the tau method to log-and-polynomials and finding the roots of a polynomial-and-log approximation [J] . Boyd John P. Computers & mathematics with applications . 2016,第6期

机译：Chebyshev光谱方法中的五个主题应用于正则化的Charney本征问题：额外的数值边界条件，坐标的边界层解析变化，参数化端点处奇异的曲线，将tau方法扩展到对数多项式并查找多项式和对数近似的根
2. Computationally efficient direction finding using polynomial rooting with reduced-order and real-valued computations [J] . Fenggang Yan, Yi Shen, Ming Jin, Systems Engineering and Electronics, Journal of . 2016,第4期

机译：使用多项式求根，降阶和实值计算的计算有效方向查找
3. Second And Fourth Order Statistics-based Reduced Polynomial Rooting Direction Finding Algorithms [J] . Wasyl Wasylkiwskyj, Ivica Kopriva Signal processing . 2009,第6期

机译：基于二阶和四阶统计量的简化多项式生根方向查找算法
4. POLYNOMIAL ROOTING-BASED DIRECTION FINDING FOR ARBITRARY ARRAY CONFIGURATIONS [C] . Mario Costa, Andreas Richter, Fabio Belloni, IEEE Sensor Array and Multichannel Signal Processing Workshop . 2008

机译：任意数组配置的基于多项式生根的方向
5. Effects of mutual coupling on the direction-finding performance of a linear array in a multiple-source environment using the method of moments. [D] . Shau, Derhua. 1988

机译：使用矩量法在多源环境中互耦合对线性阵列测向性能的影响。
6. Finding Cactus Roots in Polynomial Time [O] . Petr A. Golovach, Dieter Kratsch, Daniël Paulusma, -1

机译：在多项式时间内找到仙人掌根
7. Real-Valued DOA Estimation for Non-Circular Sources via Reduced-Order Polynomial Rooting [O] . Xiang-Tian Meng, Feng-Gang Yan, Shuai Liu, 2019

机译：通过缩小多项式生根的非圆形来源的实质值DOA估计
8. The Qd-Algorithm as a Method for Finding the Roots of a Polynomial Equation when All Roots Are Positive [R] . Andersen, C. 1964

机译：Qd算法作为求所有根为正的多项式方程根的方法

A non-circular sources direction finding method using polynomial rooting

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