Central limit theorem of random quadratics forms involving random matrices

Let si=1/N(vi,1,…,vi,N)T and S=(s1,s2,…,sK)S=(s1,s2,…,sK) where random variables {vij,i,j=1,2,…,} are i.i.d. with Ev114<∞. The central limit theorem of the random quadratic forms s1T(SST)is1 is established, which arises from the application in wireless communications.