Is Stretching and Folding Feature of Chaotic Trajectories Useful in Adaptive Local Projection?

Abstract

Different methods arising from scientific investigation for removing noise from chaotic signals have been introduced and one of their best is Local Projection approach. The local projection approach projects the chaotic data in the neighborhood onto the hyper-plane. Selection of neighborhood radius has a direct impact on its performance. A noticeable feature associated with chaotic trajectories is their stretching and folding. An idea would be making use of the large neighborhood radius in those points of the trajectory where the behavior is in the form of stretching. On the other hand in folding points where the trajectory changes direction abruptly, we should use small neighborhood radius. We think using this method may improve local projection approach efficiency.