In this paper

the decoupling problem for Volterra adaptive filters is researched

and fully decoupled RLS adaptive Volterra filters is presented.According to the pseudo-linear combination structure of Volterra filters

by applying the principle of RLS filter and constrained optimization theory

a fully decoupled Volterra normal equation with block diagonal input correlation matrix satisfying the minimum cumulative time series error criterion is educed.A fully decoupled RLS adaptive Volterra filter is then designed and a suit of adaptive regulating formulations for the weight vectors of the filter is given out.Simulation results indicate that the proposed method in the paper is efficient.