Abstract: An apparatus of providing vertical smoothing of convergence correction signals in a digital convergence system is disclosed. The surface of a cathode ray tube is subdivided into a matrix including a plurality of intersecting rows and columns and having a plurality of intersections corresponding thereto. A value is assigned to each intersection of a row and a column of said matrix. An electron beam traces a plurality of scan lines within each of the rows of the matrix. For each scan line within a row of the matrix, a convergence correction signal is synthesized using the plurality of values associated with the plurality of intersections in said row. A plurality of horizontal discontinuities are present in the convergence correction signal as a result of the different magnitudes associated with the plurality of values used to synthesize the convergence correction signal.