CLEAN stripes are, in part, introduced by the approximations made during the minor cycles of a Clark CLEAN -- they are less common when using a Högbom algorithm. Thus striping problems can be alleviated by taming the minor cycle approximations. There are two simple ways to tame the approximations used in the minor cycle of a Clark CLEAN -- use a larger beam patch, and relax the criteria to perform a major cycle ( i.e. perform fewer minor cycles per major cycle).
Cornwell (1983) suggested that the CLEAN stripe instability can be suppressed by the addition of a delta function to the dirty beam. For obvious reasons, this is popularly termed the `Prussian helmet' CLEAN. The spike is usually set at about 0.3 . Together with this, one usually makes the loop gain smaller, to perhaps 0.05 or even 0.01 . However, recent wisdom suggests that in general, the Prussian helmet is probably a red herring.