文章摘要
曹红,孙同晶,王红.广义轮换测量矩阵及其在水下回波信号压缩感知中的应用[J].声学技术,2019,38(6):623~628
广义轮换测量矩阵及其在水下回波信号压缩感知中的应用
Generalized rotation measurement matrix and its application in underwater echo signals
投稿时间:2018-04-24  修订日期:2018-07-05
DOI:10.16300/j.cnki.1000-3630.2019.06.004
中文关键词: 压缩感知  水下回波信号  广义轮换测量矩阵
英文关键词: compressed sensing  underwater echo signal  generalized rotation measurement matrix
基金项目:"十三五"预研领域基金项目(6140243010116DZ04001)资助
作者单位E-mail
曹红 杭州电子科技大学通信信息传输与融合技术国防重点科学实验室, 浙江杭州 310018  
孙同晶 杭州电子科技大学通信信息传输与融合技术国防重点科学实验室, 浙江杭州 310018 stj@hdu.edu.cn 
王红 杭州电子科技大学通信信息传输与融合技术国防重点科学实验室, 浙江杭州 310018  
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中文摘要:
      根据压缩感知中测量矩阵的性质及要求,在轮换确定性测量矩阵的基础上,通过调整测量矩阵每一列元素的系数,增强列与列之间的相关性,得到广义轮换测量矩阵,并将其应用于水下回波信号的压缩感知观测中。通过无噪声下不同测量矩阵匹配度和相对误差随压缩比的变化,以及4、0、-3 dB三种信输入噪比下不同测量矩阵的输出信噪比、匹配度随压缩比的变化,分别对水下回波信号进行处理,比较其性能。仿真结果表明,相比部分哈达玛等确定性测量矩阵和以高斯为代表的随机测量矩阵,广义轮换测量矩阵在输出信噪比、匹配度、相对误差等方面有很大提高。同时广义轮换矩阵为确定性测量矩阵,便于工程实现。
英文摘要:
      According to the properties and requirements of the measurement matrix in compressed sensing, a generalized rotation measurement matrix based on the rotation deterministic measurement matrix is proposed by adjusting the coefficients of each column element of the measurement matrix to enhance the correlation between columns, and it is applied to compressed sensing observations of underwater echo signals. By observing the variations of the matching degree and relative error with compression ratio in the condition of noise free, and the variations of the matching degree and output SNR with compression ratio in the condition of input SNR=4, 0 and -3 dB, the performances of different measurement matrices in underwater echo signals processing are compared. Simulation results show that compared with some deterministic measurement matrices such as Hadamard and the random measurement matrices represented by Gaussian, the generalized rotation measurement matrices have a great improvement in output signal-to-noise ratio, matching degree and relative error. Also the generalized rotation matrix is a deterministic measurement matrix, which is convenient for engineering implementation.
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