IEEE Trans Image Process. 2010 Apr;19(4):1102-7. doi: 10.1109/TIP.2009.2038771. Epub 2009 Dec 18.
Synthetic aperture (SA) techniques have been frequently used to reduce the volume and complexity of the imaging systems. A useful tool for designing synthetic aperture configurations is the coarray. This is the virtual aperture that produces in one way the same beam pattern as the SA system in emission and reception. In this correspondence, we propose a new algorithm, based on the polynomial decomposition, that allows to obtain any wanted coarray on a linear array using whatever synthetic aperture configuration. With this fast and simple algorithm, the desired coarray is decomposed into a set of sub-apertures, whose length is determined by the requirements and resources of the system. The result is the set of weights that have to be applied on the sub-apertures to get the desired coarray, and consequently, the wanted beam pattern.
合成孔径 (SA) 技术常用于减小成像系统的体积和复杂性。共形阵是设计合成孔径配置的有用工具。这是一个虚拟孔径，以一种方式产生与发射和接收中的 SA 系统相同的波束图案。在本通信中，我们提出了一种新的基于多项式分解的算法，该算法允许使用任何合成孔径配置在线性阵上获得任何所需的共形阵。通过这个快速简单的算法，将所需的共形阵分解为一组子孔径，其长度由系统的要求和资源决定。结果是必须应用于子孔径以获得所需共形阵的一组权重，进而得到所需的波束图案。
