西安电子科技大学学报

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杂波和有色噪声条件下MIMO雷达波形设计

王玉玺;黄国策;李伟;王叶群   

  1. (空军工程大学 信息与导航学院,陕西 西安 710077)
  • 收稿日期:2016-04-25 出版日期:2017-08-20 发布日期:2017-09-29
  • 作者简介:王玉玺(1989-),男,空军工程大学博士研究生,E-mail: WYX10013@163.com
  • 基金资助:

    国家自然科学基金资助项目(61302153)

MIMO radar waveform design in the presence of clutter and colored noise

WANG Yuxi;HUANG Guoce;LI Wei;WANG Yequn   

  1. (Information and Navigation College, Air Force Engineering Univ., Xi 'an 710077, China)
  • Received:2016-04-25 Online:2017-08-20 Published:2017-09-29

摘要:

现有多输入多输出雷达波形设计方法分别对杂波和有色噪声条件下的雷达波形进行了优化,而对实际应用中杂波和有色噪声同时存在的情况,现有方法并不能得到最优波形.针对该问题,提出一种杂波和有色噪声条件下基于互信息量的多输入多输出雷达波形设计方法,该方法综合考虑目标、杂波和有色噪声对波形优化的影响,通过理论推导给出了发射信号矩阵表达式,并给出了目标和杂波特征向量与噪声特征向量之间的匹配顺序,利用注水定理对该匹配顺序下的各天线发射信号功率进行了优化,确定了具体的发射信号矩阵表达式.实验仿真结果表明,当发射功率为10dB时,所提方法的互信息量比一般注水方法和仅考虑目标与噪声匹配顺序的方法分别高8bit和4bit.

关键词: 互信息量, 波形设计, 多输入多输出雷达, 杂波, 有色噪声

Abstract:

The existing MIMO radar waveform design methods only deal with the optimization of radar waveform with the presence of clutter or colored noise, and unfortunately can not get the optimal waveform with the scenario when the clutter and colored noise coexist, which is more realistic in practical applications. To address this problem, a novel MIMO radar waveform design method based on mutual information in the presence of clutter and colored noise is proposed. The proposed scheme considers the influence of the target's response, clutter and colored noise on the optimization of the radar waveform. The mathematical expression for the transmit waveform matrix is achieved by theoretical derivation. What is more important, an optimal pairing of the eigenvectors of the target, clutter and colored noise is given and the power allocation for each antenna is optimized by the water-filling method. Simulation results show that when the total transmit power is 10dB, the proposed method's MI is 8bit and 4bit more than that of the general water-filling method and the method which only considers the pairing of the target's response and noise, respectively.

Key words: mutual information, waveform design, multiple input multiple output radar, clutter, colored noise