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Let S={(S1t,… Sdt)}t≥o denote a d-dimensional sub-fractional Brownian motion with index H ≥ 1/2.In this paper we study some properties of the process X of the form Xt:=d-Σi=(j)toSis/RsdSiSs,d≥ 1,where Rt =（/）(St／1)2 +..+ (Std)2 is the sub-fractional Bessel process.