An apparatus includes a local minimum identifier (408) that identifies a local minimum between overlapping pulses in a signal, wherein the pulses have amplitudes that are indicative of the energy of successively detected photons from a multi-energetic radiation beam by a radiation sensitive detector, and a pulse pile-up error corrector (232) that corrects, based on the local minimum, for a pulse pile-up energy-discrimination error when energy-discriminating the pulses using at least two thresholds corresponding to different energy levels. This technique may reduce spectral error when counting photons at a high count rate.