This paper describes an effort to give a different representation of a newly Introduced n-th order fractional Brownian motion (n-fBm). The new representation is called diffusive representation which has been successfully applied to the 1/fα fractional noise. Thus this paper generalizes such representation to cover also n-fBm which is an extension to the ordinary fBm, due to the fact that the spectral properties of n-fBm cover larger range of parameter α. Different from 1/fα case, the solution involves finite part concept of theory of distribution. The advantage of the proposed method on synthesizing sample of n-fBm is presented.
|ジャーナル||IFAC Proceedings Volumes (IFAC-PapersOnline)|
|出版ステータス||Published - 2003|
|イベント||13th IFAC Symposium on System Identification, SYSID 2003 - Rotterdam, Netherlands|
継続期間: 2003 8月 27 → 2003 8月 29
ASJC Scopus subject areas