Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180, USA.
IEEE Trans Image Process. 2010 May;19(5):1290-306. doi: 10.1109/TIP.2009.2039662. Epub 2009 Dec 31.
In this paper, we consider a multistatic synthetic aperture radar (SAR) imaging scenario where a swarm of airborne antennas, some of which are transmitting, receiving or both, are traversing arbitrary flight trajectories and transmitting arbitrary waveforms without any form of multiplexing. The received signal at each receiving antenna may be interfered by the scattered signal due to multiple transmitters and additive thermal noise at the receiver. In this scenario, standard bistatic SAR image reconstruction algorithms result in artifacts in reconstructed images due to these interferences. In this paper, we use microlocal analysis in a statistical setting to develop a filtered-backprojection (FBP) type analytic image formation method that suppresses artifacts due to interference while preserving the location and orientation of edges of the scene in the reconstructed image. Our FBP-type algorithm exploits the second-order statistics of the target and noise to suppress the artifacts due to interference in a mean-square sense. We present numerical simulations to demonstrate the performance of our multistatic SAR image formation algorithm with the FBP-type bistatic SAR image reconstruction algorithm. While we mainly focus on radar applications, our image formation method is also applicable to other problems arising in fields such as acoustic, geophysical and medical imaging.
在本文中，我们考虑了一种多基地合成孔径雷达（SAR）成像场景，其中一群机载天线在任意飞行轨迹上穿越，其中一些天线在发射、接收或同时进行，并发射任意波形，而没有任何形式的复用。每个接收天线接收到的信号可能会受到来自多个发射机的散射信号和接收机中附加热噪声的干扰。在这种情况下，由于这些干扰，标准的双基地 SAR 图像重建算法会导致重建图像中的伪影。在本文中，我们使用统计微局部分析来开发一种滤波反投影（FBP）类型的解析图像形成方法，该方法在抑制干扰伪影的同时，保留了场景边缘在重建图像中的位置和方向。我们的 FBP 类型算法利用目标和噪声的二阶统计信息，以均方意义上抑制干扰伪影。我们通过数值模拟演示了我们的多基地 SAR 图像形成算法与 FBP 类型双基地 SAR 图像重建算法的性能。虽然我们主要关注雷达应用，但我们的图像形成方法也适用于声纳、地球物理和医学成像等领域出现的其他问题。
