Fractal arrays based on iterated functions system (IFS)

Fractal arrays have been suggested, mostly in order to obtain some kind of self-similar features in the radiation patterns. This, in turn, will allow a multi-band frequency usage of the array. Most of the previous work done in this area deals with fractal arrays in which the distance between the elements is some fractal function (like the Cantor set), whereas their amplitude is constant. This work, on the other hand, deals with uniformly spaced elements, whereas the elements amplitude distribution is a fractal function. We use the iterated function system (IFS) method to produce fractals. The IFS is only one-of-many methods available to produce fractals, but it is probably the one most commonly used in image and signal processing. This is mainly because it can lead to an automated method for fractal encoding of signals. The use of the IFS enables one to create fractal arrays with many degrees of freedom. These free parameters can then be determined so as to meet specific design parameters.