基于随机投影思想的MWC亚奈奎斯特采样重构算法

发布时间：2018-03-02 09:08

本文关键词： 调制宽带转换器亚奈奎斯特采样压缩感知随机投影　出处：《电子学报》2014年09期 　论文类型：期刊论文

【摘要】：针对现有调制宽带转换器(Modulated Wideband Converter,MWC)亚奈奎斯特采样重构算法性能不高问题,提出了一种基于随机投影思想的重构算法.该算法首先将MWC所获得的测量值矩阵通过随机投影方法压缩成具有较少向量的新的测量值矩阵,然后利用所提出的求解器求解多测量向量问题,通过检验和重复尝试性求解过程提高MWC的重构性能.从理论和实验两个方面验证了所提出的算法的有效性.实验结果表明,与著名的ReMBo算法相比,该算法有效提高了重构成功率;当信号的频带数相同时,精确重构所需的硬件通道数更小;在相同的硬件通道数前提下,可重构的信号频带数更高.该算法与ReMBo相比运算时间并没有大幅度增加,当信号频带数较大时,不仅重构性能高,而且运算时间比ReMBo小.
[Abstract]:Aiming at the problem that the performance of the existing modulated broadband converter modulation Wideband converter / MWC sub-Nyquist sampling reconstruction algorithm is not high, A reconstruction algorithm based on the idea of random projection is proposed. Firstly, the measurement value matrix obtained by MWC is compressed into a new measurement value matrix with fewer vectors by random projection. Then the proposed solver is used to solve the multi-measurement vector problem, and the reconstruction performance of MWC is improved through the process of test and repeated trial. The effectiveness of the proposed algorithm is verified theoretically and experimentally. The experimental results show that the proposed algorithm is effective. Compared with the famous ReMBo algorithm, the algorithm effectively improves the success rate of reconstruction; when the number of frequency bands of signal is the same, the number of hardware channels needed for accurate reconstruction is smaller; under the premise of the same number of hardware channels, Compared with ReMBo, the algorithm has no significant increase in operation time. When the number of signal bands is large, the reconstruction performance is higher and the computation time is smaller than that of ReMBo.
【作者单位】：哈尔滨理工大学测控技术与仪器黑龙江省高校重点实验室;哈尔滨工业大学自动化测试与控制系;
【基金】：黑龙江省教育厅科学技术研究项目(No.12531133)
【分类号】：TN911.7

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