基于稀疏重构的混叠脉冲序列的周期估计

doi:10.7527/S1000-6893.2018.22054

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基于稀疏重构的混叠脉冲序列的周期估计

许成维, 陶建武

空军航空大学航空作战勤务学院, 长春 130022

收稿日期:2018-01-29 修回日期:2018-04-11 出版日期:2018-07-15 发布日期:2018-04-11
通讯作者: 陶建武 E-mail:jianwu.tao@gmail.com
基金资助:
国家自然科学基金（61571462）

Period estimation of aliasing pulse sequences based on sparse reconstruction

XU Chengwei, TAO Jianwu

School of Aviation Operations and Services, Air Force Aviation University, Changchun 130022, China

Received:2018-01-29 Revised:2018-04-11 Online:2018-07-15 Published:2018-04-11
Supported by:
National Natural Science Foundation of China (61571462)

摘要/Abstract

摘要： 针对于以往方法在克服抖动大和缺失率高的混叠脉冲信号周期估计上的不足，提出了一种基于稀疏重构的混叠脉冲序列的隐藏子周期估计新方法。该方法首先针对由多个具有不同周期的脉冲串混合而成脉冲序列进行插值重采样，然后利用由Ramanujan构造的周期字典，建立了混叠脉冲序列的稀疏表示模型，最后采用联合l_2，0混合范数算法求得混叠脉冲序列的周期估计。方法的优点是具有较强抗噪能力和抗脉冲缺失能力，并且不受初相的改变影响。所需要较少的脉冲数据长度就能得到准确的周期稀疏解。仿真实验表明，所提方法具有更好的估计性能。

关键词: 周期估计, 联合l_2,0混合范数, Ramanujan 结构字典, 雷达脉冲, 稀疏重构

Abstract: Previous methods have the shortcomings in overcoming the period estimation of aliased pulse signals with large jitter and high missing rate. This paper proposes a new method for hidden sub-period estimation of aliased pulse sequences based on sparse reconstruction. The method first interpolates and re-samples the pulse sequence obtained by mixing multiple pulse trains with different periods, and then establishes the sparse representation model of the aliasing pulse sequence by using the periodic dictionary constructed by Ramanujan. Finally, the joint l_2,0 mixing norm algorithm is applied to obtain the periodic estimation of the aliasing pulse sequence. The method has the advantages of strong anti-noise ability and anti-pulse ability, and is not affected by the change of primary phase. Shorter pulse data length is needed to obtain an accurate periodic sparse solution. Simulation results show that the proposed method has better estimation performance.

Key words: period estimation, joint l_2,0 mixed norm, Ramanujan Sum dictionary, radar pulse, sparse reconstruction

中图分类号:

许成维, 陶建武. 基于稀疏重构的混叠脉冲序列的周期估计[J]. 航空学报, 2018, 39(7): 322054-322054.

XU Chengwei, TAO Jianwu. Period estimation of aliasing pulse sequences based on sparse reconstruction[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2018, 39(7): 322054-322054.

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E-mail：hkxb@buaa.edu.cn

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主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

基于稀疏重构的混叠脉冲序列的周期估计

Period estimation of aliasing pulse sequences based on sparse reconstruction

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