基于多项式求根的欠采样频率估计方法  

Polynomial Rooting Based Frequency Estimation with Sub-Nyquist Sampling

作　　者：常虹[1] 赵国庆[1] 石海杰[2] 牛新亮[1] 

机构地区：[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

出　　处：《宇航学报》2011年第1期205-209,共5页Journal of Astronautics

基　　金：国防预研基金资助项目(JY0100090201)

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。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 signal can be achieved.The algorithm does not involve matrix calculation.It has advantages of small computational load,and is suitable for implementation.The conclusion and the high accuracy performance are verified by simulation results.

关 键 词：宽频带 欠采样 频率混叠 时延 抽取 多项式求根 

分 类 号：TN971.6[电子电信—信号与信息处理]