应用科学学报 ›› 2013, Vol. 31 ›› Issue (1): 65-71.doi: 10.3969/j.issn.0255-8297.2013.01.011

• 信号与信息处理 • 上一篇    下一篇

利用延时相关预处理的信源数估计

司伟建1, 林晴晴1, 彭杰2   

  1. 1. 哈尔滨工程大学信息与通信工程学院,哈尔滨150001
    2. 信息综合控制国家重点实验室,成都610036
  • 收稿日期:2011-09-15 修回日期:2011-12-23 出版日期:2013-01-31 发布日期:2013-01-31
  • 作者简介:司伟建,研究员,博导,研究方向:宽带信号处理、检测与识别及高分辨高精度测向技术,E-mail:swj0418@263.net
  • 基金资助:

    中央高校基本科研业务费重点专项资金(No.HEUCFZ1215)资助

Source Number Estimation by Delay Correlation Preprocessing

SI Wei-jian1, LIN Qing-qing1, PENG Jie2   

  1. 1. College of Information and Communication Engineering, Harbin Engineering University,
    Harbin 150001, China
    2. National Information Control Laboratory, Chengdu 610036, China
  • Received:2011-09-15 Revised:2011-12-23 Online:2013-01-31 Published:2013-01-31

摘要: 为了解决信息论准则估计信源数在有色噪声背景下失效以及盖氏圆方法在低信噪比下性能下降的问题,提出了利用延时相关预处理的信源数估计方法. 首先构造接收数据之间的延时相关矩阵,抑制噪声影响. 再将特征向量按划分规则分组,得到两类不同的特征空间,其中一类只含噪声特征矢量,另一类同时含有噪声和信号的特征矢量. 最后将延时相关矩阵投影到特征空间,通过对投影数据进行处理实现信源数估计. 仿真实验和实测结果表明了该算法的正确性和有效性.

关键词: 信源数估计, 延时相关矩阵, 矩阵投影, 色噪声

Abstract: Source number estimation based on information theoretic criteria is ineffective in colored noise field, and the performance of the Gerschgorin radii algorithm may decline under low signal-to-noise ratio conditions. To solve these problems, a method of source number estimation using delay correlation preprocessing is proposed. The delay correlation matrix of all received data is calculated to reduce the influence of noise on the estimation performance. The eigenvectors are then grouped according to the grouping rules so that different kinds of characteristic spaces can be obtained, one containing noise eigenvectors and the other containing both noise and signal eigenvectors. Finally, the delay correlation matrix is projected onto the characteristic spaces,
and thus the source number can be estimated from the projected data. Simulation and measured data show correctness and effectiveness of the algorithm.

Key words: source number estimation, delay correlation matrix, matrix projection, colored noise

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