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L1 norm code

DOA-L1 稀疏重构 DOA压缩感知 视频压缩-dsc DOA

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代码分类: 仿真计算

开发平台: matlab

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代码描述

中文说明:

动态压缩感知(DSC)是压缩感知领域中一个重要的研究分支,它是近几年新兴起的一种信号处理与分析方法,与传统的压缩感知理论不同,DSC研究的对象是稀疏时变信号,并且已在视频信号处理和动态核磁共振成像等方面显示出了强大的应用潜力。本节正是在此基础上,提出了一种用于多普勒频率跟踪估计的DSC方法。首先,通过前一跟踪时刻所得到的先验DOA稀疏信息,获得当前跟踪时刻信号向量中各位置非零元素的分布概率,继而建立起动态DOA的稀疏概率模型。然后,采用加权l_1范数最小化方法重构出当前跟踪时刻的信号向量,从而确定非零元素的位置,获得DOA的实时估计值,最终实现运动目标的动态DOA跟踪。


English Description:

Dynamic compressed sensing (DSC) is an important research branch in the field of compressed sensing. It is a new signal processing and analysis method in recent years. Different from the traditional compressed sensing theory, DSC studies sparse time-varying signals, and has shown great potential in video signal processing and dynamic magnetic resonance imaging. In this section, a DSC method for Doppler frequency tracking estimation is proposed. Firstly, the distribution probability of non-zero elements in the signal vector at the current tracking time is obtained by using the prior DOA sparse information obtained at the previous tracking time, and then the sparse probability model of dynamic doa is established. Then, weighted L_ 1-norm minimization method reconstructs the signal vector at the current tracking time, so as to determine the position of non-zero elements, obtain the real-time DOA estimation, and finally realize the dynamic DOA tracking of moving objects.


代码预览

l1_SVD_DOA1.m

l1_SVD_DOA2.m