关键词: 压缩感知, 穿墙雷达成像, 非精确增广拉格朗日乘子

Abstract:

Focusing on the problems, including complexity of computation and the sensitivity to noise, of the traditional Compressive Sensing based TWRI（Through-the-Wall Radar Imaging）algorithms, an Inexact Augmented Lagrange Multiplier（IALM） based on the compressive sensing framework is proposed for TWRI. Considering the low rank of wall echo signal and the sparsity of target signal, this paper regards TWRI as the optimization problem of the regularized least square optimization problem, and is transformed into a compound optimization problem with kernel-norm and [l1]-norm. The Inexact Augmented Lagrange Multiplieralgorithm（IALM） is used to update the wall clutter matrix and the target matrix alternately, so as to complete the target reconstruction. The simulation results show that the target to clutter ratio provided by the proposed algorithm is better and significantly improves the target imaging accuracy and the processing speed.

Key words: compressive sensing, Through-the-Wall Radar Imaging（TWRI）, Inexact Augmented Lagrange Multiplier（IALM）