R-EEMD facilitates

nonuniform and trial-dependent weights obtained by an

optimization procedure during ensemble combination and results

in less decomposition errors when compared with the conventional

ensemble empirical mode decomposition techniques. A theoretic

result is then extended to demonstrate that R-EEMD has an ability

to solve the mode mixing problem frequently encountered in EMD

and improve the decomposition performance with adequate noise

strength when separating a composite two-tone signal. Based on

the proposed R-EEMD framework, a novel clutter rejection filter

for ultrasound color flow imaging is designed