  Recently, the reactor mixing angle $\theta_{13}$ has been measured precisely
by Daya Bay, RENO and T2K experiments with a moderately large value. However,
the standard form of neutrino mixing patterns such as bimaximal, tri-bimaximal,
golden ratio of types A and B, hexagonal etc., which are based on certain
flavor symmetries, predict vanishing $\theta_{13}$. Using the fact that the
neutrino mixing matrix can be represented as $V_{\rm PMNS}=U_l^{\dagger} U_\nu
P_\nu$, where $U_l$ and $U_\nu$ result from the diagonalization of the charged
lepton and neutrino mass matrices and $P_\nu$ is a diagonal matrix containing
Majorana phases, we explore the possibility of accounting for the large reactor
mixing angle by considering deviations both in the charged lepton and neutrino
sector. In the charged lepton sector we consider the deviation as an additional
rotation in the (12) and (13) planes, whereas in neutrino sector we consider
deviations to various neutrino mixing patterns through (13) and (23) rotations.
We find that with the inclusion of these deviations it is possible to
accommodate the observed large reactor mixing angle $\theta_{13}$, and one can
also obtain limits on the CP violating Dirac phase $\delta_{CP}$ and Jarlskog
invariant $J_{CP}$ for most of the cases. We then explore whether our findings
can be tested in the currently running NO$\nu$A experiment with 3 years of data
taking in neutrino mode followed by 3 years with anti-neutrino mode.
