搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

基于哈达玛积扩展子空间的到达时间和波达方向联合估计

巴斌 刘国春 李韬 林禹丞 王瑜

引用本文:
Citation:

基于哈达玛积扩展子空间的到达时间和波达方向联合估计

巴斌, 刘国春, 李韬, 林禹丞, 王瑜

Joint for time of arrival and direction of arrival estimation algorithm based on the subspace of extended hadamard product

Ba Bin, Liu Guo-Chun, Li Tao, Lin Yu-Cheng, Wang Yu
PDF
导出引用
  • 在窄带阵列天线正交频分复用系统的到达时间和波达方向联合估计中, 针对阵元数目较少时波达方向估计精度不高, 特别是多径数目大于阵元数目导致的波达方向无法估计问题, 提出一种基于哈达玛积扩展子空间的到达时间和波达方向联合估计算法. 该算法首先利用各阵元上的频域信道估计构成扩展信道频域响应矢量, 然后计算扩展信道频域响应矢量自相关矩阵, 并进行特征值分解得到哈达玛积扩展噪声子空间, 最后构造伪谱函数并进行二维谱峰搜索, 从而实现到达时间和波达方向的联合估计. 仿真结果表明, 与现有算法相比, 在复杂度没有大幅提高的前提下, 该算法的估计结果均方根误差更加接近克拉美罗界, 且到达时间和波达方向估计能够自动配对, 在多径数目大于阵元数目时依然适用.
    In the joint estimation for time of arrival (TOA) and direction of arrival (DOA) in the narrow-band orthogonal frequency division multiplexing (OFDM) system with antenna arrays, the estimation accuracy is not high in the situation of few numbers of arrays. Especially, DOA cannot be estimated if the number of multiple paths is more than that of the arrays. For these problems, a joint estimation algorithm for TOA and DOA based on the subspace of the extended hadamard product is proposed. First of all, the algorithm constructs an extended channel response in frequency domain via channel estimation for each array in the frequency domain. Then, auto-correlation matrix of extended channel response in the frequency domain is estimated by sampling many times. This estimation method of channel response in the frequency domain can use the fast Fourier transform algorithm. And the hadamard product in the extended noise subspace is obtained by eigenvalue decomposition. Finally, the pseudo-spectral function is constructed and used to search for spectrum peaks, so as to realize the joint estimation of TOA and DOA. The proposed algorithm requires no parameter paring but needs a two-dimensional searching. Monte Carlo algorithm can be used to reduce computational complexity. Simulation results show that the root mean square error of the joint TOA and DOA estimation which can be matched automatically is closer to the Cramer-Rao bound than that using present algorithms. And the proposed algorithm can be still applied when the number of multiple paths is more than number of arrays.
    • 基金项目: 国家高技术研究发展计划(863计划)(批准号: 2012AA01A502, 2012AA01A505)资助的课题.
    • Funds: Project supported by the National High Technology Research and Development Program of China (Grant Nos. 2012AA01A502, 2012AA01A505).
    [1]

    Wang Y L, Ma S L, Liang G L, Fan Z 2014 Acta Phys. Sin. 63 044302 (in Chinese) [王逸林, 马世龙, 梁国龙, 范展 2014 物理学报 63 044302]

    [2]

    Cai H, Deng H C, Wang Y F, Cai H Z, Liu Y T 2006 Physics 350 (in Chinese) [蔡慧, 邓红超, 王永丰, 蔡惠智, 刘云涛 2006 物理 350]

    [3]

    Ren H P, Li W C, Liu D 2010 Chin. Phys. B 19 030511

    [4]

    Luo B W, Dong J J, Yu Y, Yang T, Zhang X L 2013 Chin. Phys. B 22 023201

    [5]

    Ni H 2010 M. S. Dissertation (Xian: Xidian University) (in Chinese) [倪浩2010博士学位论文(西安: 西电电子科技大学)]

    [6]

    Li J, Pei L, Cao M Y, Yu D Y 2006 Chinese Journal of Radio Science 21 771 (in Chinese) [李晶, 裴亮, 曹茂永, 郁道银 2006 电波科学学报 21 771]

    [7]

    Li X, Ma X, Yan S, Hou C 2012 IET Radar Sonar & Navigation 6 781

    [8]

    Jiang H, Cao F C, Ding R 2008 Int Conf Circuits and Systems for Communications (Shanghai: IEEE) p535

    [9]

    Wang F Q, Zhang X F, Wang F 2014 Journal on Communications 35 137 (in Chinese) [王方秋, 张小飞, 汪飞 2014 通信学报 35 137]

    [10]

    Oh D, Kim S, Yoon S H, Chong J W 2013 IEEE Trans Wirel Commun 12 3130

    [11]

    Li J, Zhao Y J, Li D H 2014 Acta Phys. Sin. 63 130701 (in Chinese) [李晶, 赵拥军, 李冬海 2014 物理学报 63 130701]

    [12]

    Ding R, Qian Z H, Wang X 2014 Journal of Electronics & Information Technology 32 313 (in Chinese) [丁锐, 钱志鸿, 王雪 2014 电子与信息学报 32 313]

    [13]

    Cao F C, Li M 2010 IEEE Int. Conf. Wireless Communications Networking and Mobile Computing (Chengdu: IEEE) p1

    [14]

    Li X, Pahlavan K 2004 IEEE Trans. Wirel Commun 3 224

    [15]

    Schmidt R O 1986 IEEE Trans. on Antennas and Propagat. 34 276

    [16]

    Vanderveen M C, Van der Veen A J, Paulraj A 1998 IEEE Trans Signal Process 46 682

    [17]

    Stoica P, Arye N 1989 IEEE Trans Acoust, Speech Signal Process 37 720

  • [1]

    Wang Y L, Ma S L, Liang G L, Fan Z 2014 Acta Phys. Sin. 63 044302 (in Chinese) [王逸林, 马世龙, 梁国龙, 范展 2014 物理学报 63 044302]

    [2]

    Cai H, Deng H C, Wang Y F, Cai H Z, Liu Y T 2006 Physics 350 (in Chinese) [蔡慧, 邓红超, 王永丰, 蔡惠智, 刘云涛 2006 物理 350]

    [3]

    Ren H P, Li W C, Liu D 2010 Chin. Phys. B 19 030511

    [4]

    Luo B W, Dong J J, Yu Y, Yang T, Zhang X L 2013 Chin. Phys. B 22 023201

    [5]

    Ni H 2010 M. S. Dissertation (Xian: Xidian University) (in Chinese) [倪浩2010博士学位论文(西安: 西电电子科技大学)]

    [6]

    Li J, Pei L, Cao M Y, Yu D Y 2006 Chinese Journal of Radio Science 21 771 (in Chinese) [李晶, 裴亮, 曹茂永, 郁道银 2006 电波科学学报 21 771]

    [7]

    Li X, Ma X, Yan S, Hou C 2012 IET Radar Sonar & Navigation 6 781

    [8]

    Jiang H, Cao F C, Ding R 2008 Int Conf Circuits and Systems for Communications (Shanghai: IEEE) p535

    [9]

    Wang F Q, Zhang X F, Wang F 2014 Journal on Communications 35 137 (in Chinese) [王方秋, 张小飞, 汪飞 2014 通信学报 35 137]

    [10]

    Oh D, Kim S, Yoon S H, Chong J W 2013 IEEE Trans Wirel Commun 12 3130

    [11]

    Li J, Zhao Y J, Li D H 2014 Acta Phys. Sin. 63 130701 (in Chinese) [李晶, 赵拥军, 李冬海 2014 物理学报 63 130701]

    [12]

    Ding R, Qian Z H, Wang X 2014 Journal of Electronics & Information Technology 32 313 (in Chinese) [丁锐, 钱志鸿, 王雪 2014 电子与信息学报 32 313]

    [13]

    Cao F C, Li M 2010 IEEE Int. Conf. Wireless Communications Networking and Mobile Computing (Chengdu: IEEE) p1

    [14]

    Li X, Pahlavan K 2004 IEEE Trans. Wirel Commun 3 224

    [15]

    Schmidt R O 1986 IEEE Trans. on Antennas and Propagat. 34 276

    [16]

    Vanderveen M C, Van der Veen A J, Paulraj A 1998 IEEE Trans Signal Process 46 682

    [17]

    Stoica P, Arye N 1989 IEEE Trans Acoust, Speech Signal Process 37 720

  • [1] 张少军, 郭智, 成加皿, 王勇, 陈家华, 刘志. 高重频硬X射线自由电子激光脉冲到达时间诊断方法研究. 物理学报, 2023, 72(10): 105203. doi: 10.7498/aps.72.20222424
    [2] 冯奎胜, 李娜, 杨欢欢. 电磁超构表面与天线结构一体化的低RCS阵列. 物理学报, 2021, 70(19): 194101. doi: 10.7498/aps.70.20210746
    [3] 崔岸婧, 李道京, 周凯, 王宇, 洪峻. 阵列结构下的低频信号合成方法研究. 物理学报, 2020, 69(19): 194101. doi: 10.7498/aps.69.20200501
    [4] 万峰, 武保剑, 曹亚敏, 王瑜浩, 文峰, 邱昆. 空频复用光纤中四波混频过程的解析分析方法. 物理学报, 2019, 68(11): 114207. doi: 10.7498/aps.68.20182129
    [5] 周天益. 基于随机场照射的最优微波成像. 物理学报, 2019, 68(5): 055201. doi: 10.7498/aps.68.20182122
    [6] 代正亮, 崔维嘉, 王大鸣, 张彦奎. 基于矢量化差分相位的单分布源解耦二维波达方向估计. 物理学报, 2018, 67(7): 070702. doi: 10.7498/aps.67.20172154
    [7] 林书庆, 江宁, 王超, 胡少华, 李桂兰, 薛琛鹏, 刘雨倩, 邱昆. 基于动态混沌映射的三维加密正交频分复用无源光网络. 物理学报, 2018, 67(2): 028401. doi: 10.7498/aps.67.20171246
    [8] 代正亮, 崔维嘉, 巴斌, 张彦奎. 对称旋转不变相干分布式非圆信号二维波达方向估计. 物理学报, 2017, 66(22): 220701. doi: 10.7498/aps.66.220701
    [9] 孙梅, 周士弘. 大深度接收时深海直达波区的复声强及声线到达角估计. 物理学报, 2016, 65(16): 164302. doi: 10.7498/aps.65.164302
    [10] 陈秋菊, 姜秋喜, 曾芳玲, 宋长宝. 基于时间反演电磁波的稀疏阵列单频信号空间功率合成. 物理学报, 2015, 64(20): 204101. doi: 10.7498/aps.64.204101
    [11] 陈雪梅, 张静, 易兴文, 曾登科, 杨合明, 邱昆. 基于数字相干叠加的相干光正交频分复用系统中光纤非线性容忍性研究. 物理学报, 2015, 64(14): 144203. doi: 10.7498/aps.64.144203
    [12] 李文强, 曹祥玉, 高军, 赵一, 杨欢欢, 刘涛. 基于超材料吸波体的低雷达散射截面波导缝隙阵列天线. 物理学报, 2015, 64(9): 094102. doi: 10.7498/aps.64.094102
    [13] 尹艳玲, 乔钢, 刘凇佐, 周锋. 基于基追踪去噪的水声正交频分复用稀疏信道估计. 物理学报, 2015, 64(6): 064301. doi: 10.7498/aps.64.064301
    [14] 屠惠琳, 肖绍球, 杨智杰, 王秉中. 基于时间反演电磁波的微结构天线的单频点超分辨力聚焦研究. 物理学报, 2014, 63(8): 084102. doi: 10.7498/aps.63.084102
    [15] 王逸林, 马世龙, 梁国龙, 范展. 基于多径分集的啁啾扩频正交频分复用水声通信系统. 物理学报, 2014, 63(4): 044302. doi: 10.7498/aps.63.044302
    [16] 梁木生, 王秉中, 章志敏, 丁帅, 臧锐. 基于远场时间反演的亚波长天线阵列研究. 物理学报, 2013, 62(5): 058401. doi: 10.7498/aps.62.058401
    [17] 孙杰, 张晓娟, 方广有. 近地面三阵子天线估计电磁波到达角和极化参数. 物理学报, 2013, 62(19): 198402. doi: 10.7498/aps.62.198402
    [18] 王巍, 乔钢, 邢思宇. 无边带信息的多输入多输出正交频分复用水声通信图样选择峰均比抑制算法. 物理学报, 2013, 62(18): 184301. doi: 10.7498/aps.62.184301
    [19] 章志敏, 王秉中, 葛广顶. 一种用于时间反演通信的亚波长天线阵列设计. 物理学报, 2012, 61(5): 058402. doi: 10.7498/aps.61.058402
    [20] 张雪芹, 王均宏, 李铮. 微带阵列天线的时域散射特性. 物理学报, 2011, 60(5): 051301. doi: 10.7498/aps.60.051301
计量
  • 文章访问数:  5647
  • PDF下载量:  369
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-09-07
  • 修回日期:  2014-11-02
  • 刊出日期:  2015-04-05

/

返回文章
返回