  We propose new mixing schemes for (3+1) neutrinos which describe mixing among
active-active and active-sterile neutrinos. The mixing matrix in these mixing
schemes can be factored into a zeroth order flavor symmetric part and another
part representing small perturbations needed for generating non-zero $U_{e3}$,
nonmaximal $\theta_{23}$, CP violation and active-sterile mixing. We find
interesting correlations amongst various neutrino mixing angles and, also,
calculate the parameter space for various parameters.
