  In this paper, we propose a simple parametrization of the Hubble parameter H
in order to explain the late time cosmic acceleration. We show that our
proposal covers many models obtained in different schemes of parametrization
under one umbrella. We demonstrate that a simple modification in the functional
form of Hubble parameter can give rise to interesting cosmological phenomena
such as big rip singularity, bounce and others. We have also constrained the
model parameters using the latest 28 points of H(z) data for three cases which
admit transition from deceleration to acceleration.
