A head driving unit the generates a driving waveform, each driving waveform including a plurality of driving pulses, and selects one or more driving pulses to be applied to a liquid drop discharging head in response to data corresponding to an image. As discussed in more detail below, embodiments of the present invention allow for the \u201cintra-tunnel\u201d classification of data flows and, based on the classification, the deterministic and intelligent application of aggregate bandwidth utilization controls on data flows corresponding to a given tunnel. Such a multistage press can be operated with a high number of strokes per minute and has, at the same time, an excellent precision of the stroke movement.