现有的贪婪迭代类压缩感知重构算法均基于最小二乘对信号进行波形估计，未考虑到可能将量测噪声引入信号估计的情况．针对以上不足，提出了一种基于线性Kalman滤波的压缩感知弱匹配去噪重构算法-Existing greedy iterative reconstruction algorithms class compressed sensing the signal waveform based on least squares estimation does not take into account the possible introduction of the measurement noise signal estimation situation. For the above shortcomings, we propose a linear Kalman filter based on compressed sensing reconstruction algorithm denoising weak match