| 基于多项式求根的欠采样频率估计方法 |
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| 引用本文： | 常虹,赵国庆,石海杰,牛新亮.基于多项式求根的欠采样频率估计方法[J].宇航学报,2011,32(1):205-209. |
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| 作者姓名： | 常虹 赵国庆 石海杰 牛新亮 |
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| 作者单位： | 1.西安电子科技大学电子对抗研究所，西安 710071； 2.中北大学，太原 030051 |
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| 摘 要： | 基于多项式求根算法，本文提出了一种新的欠采样宽频带信号频率的估计方法。根据直接欠采样信号及时延后的欠采样信号在不同整数倍抽取下形成的数据向量均满足Vandermonde结构，推导出了由欠采样引起的模糊频率值及由时延产生的延迟相位与模糊频率的联合估计值的快速估计算法，并结合一定的配对方法和解模糊算法就可实现无模糊的宽频带信号的频率估计。本算法无需作大量的矩阵运算，具有算法简单、易于实现等特点，仿真验证了上述结论的正确性及高精度特性。
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| 关 键 词： | 宽频带 欠采样 频率混叠 时延 抽取 多项式求根 |
| 收稿时间： | 2010-06-03 |
Polynomial Rooting Based Frequency Estimation with Sub-Nyquist Sampling |
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| CHANG Hong,ZHAO Guo-qing,SHI Hai-jie,NIU Xin-liang.Polynomial Rooting Based Frequency Estimation with Sub-Nyquist Sampling[J].Journal of Astronautics,2011,32(1):205-209. |
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| Authors: | CHANG Hong ZHAO Guo-qing SHI Hai-jie NIU Xin-liang |
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| Institution: | CHANG Hong1,ZHAO Guo-qing1,SHI Hai-jie2,NIU Xin-liang1(1.Research Inst.of Electronic Countermeasure,Xidian Univ.,Xi'an 710071,China,2.North University of China,Taiyuan 030051,China) |
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| Abstract: | Based on polynomial rooting algorithm,a new approach for wideband frequency estimation with sub-Nyquist sampling is proposed.Taking advantages of the Vandermonde structure of vectors constructed from integer decimation samples and sub-Nyquist samples after time delaying,rapid algorithm for aliasing frequency estimation and joint aliasing frequency and delay phase estimation is proposed.With the aid of a pairing method and an ambiguity solving algorithm,the unambiguous frequency estimation for wideband signa... |
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| Keywords: | Wideband Sub-Nyquist sampling Frequency aliasing Time-delay Decimation Polynomial rooting |
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