Combinatorial fractal Brownian motion model

To solve the problem of how to determine the non-scaled interval when proce ssing radar clutter using fractal Brownian motion (FBM) model, a concept of combinatorial FBM model is presented. Since the earth (or sea) surface var ies diversely with space, a radar clutter contains several fractal structur es, which coexist on all scales. Taking the combination of two FBMs into ac count, via theoretical derivation we establish a combinatorial FBM model an d present a method to estimate its fractal parameters. The correctness of t he model and the method is proved by simulation experiments and computation of practial data. Furthermore, we obtain the relationship between fractal parameters when processing combinatorial model with a single FBM model. Mea nwhile, by theoretical analysis it is concluded that when combinatorial mod el is observed on different scales, one of the fractal structures is more o bvious.