压缩感知理论在稀疏阵列方向图综合中的应用研究

Study on application of compressed sensing theory in pattern synthesis for sparse array

阵列天线方向图综合技术在智能天线设计中具有重要作用,其中均匀阵列的方向图综合问题一直是智能天线领域的研究热点。为解决等间隔均匀阵列需要大量的阵元才能满足方向图指标要求的问题,基于压缩感知理论与低秩矩阵恢复技术分别提出了稀疏阵列方向图综合的方法,该方法主要包括稀疏阵列设计、稀疏阵列恢复与阵列方向图综合等过程。仿真结果表明,利用少量稀疏阵元来实现所期望的低增益、强方向性的方向图效果,有利于设备的小型化和经济性。

Antenna array pattern synthesis technology plays a vital role in the field of smart antenna,and it is well known that the pattern synthesis of homogeneous array is the main topic of pattern synthesis technology.But this technol⁃ogy need plenty of homogeneous array elements to meet the antenna requirements.So a novel pattern synthesis technolo⁃gy for sparse array based on the compressed sensing(CS)method and low-rank matrix recovery(LRMR)method is pro⁃posed.The technology includes the design of sparse array,the recovery of homogeneous array and the synthesis of anten⁃na array pattern,etc.The simulation result shows that an antenna array with low-gain and strong-directivity can be built by using a small amount of sparse array elements and it is available for the miniaturization and economical efficiency of the antenna system.