Abstract:This paper proves that Ordered Statistic with Greatest Option CFAR(OSGO-CFAR) and Ordered Statistic with Smallest Option CFAR(OSSO-CFAR) are also of CFAR under homeomorphic independent K-distributed clutter background when the shape parameter is known. The performance of two detectors is analyzed against uniform clutter background, clutter edges and multiple target environments. Compared to OS-CFAR, OSGO-CFAR has little additional detectability loss against uniform clutter background and multiple target environments, and it has improved control ability of false alarm against clutter edges. Therefore, OSGO-CFAR detector is a kind of CFAR detector which has better performance during K-distributed clutter.