A stochastic source using a dilute grid of source points and incorporating momentum-based smearing is used to generate the correlation function of the proton at rest and in a boosted frame. The dependence of the error terms on the number of source points and source separation is studied. Calculations on a $24^3\times 48$ lattice demonstrate that this novel technique yields reduced statistical errors for the proton correlation function in boosted frames, and can be used to successfully extract precise values of the effective energy at high momentum.