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An analysis on pulse distortions due to the third-order dispersion (TOD) and dispersion mismatches in a phase-modulator- (PM) based temporal pulse shaping (TPS) system for the generation of a repetition-rate-multiplied pulse burst is performed. We demonstrate that the profile of a repetition-rate-multiplied pulse burst and the shape of the individual pulses in the pulse burst are distorted due to the TOD and the dispersion mismatches of the dispersive elements. The tolerance of the system to the TOD and the dispersion mismatches when employing an input optical pulse with different pulsewidth is studied. A technique to use predistortion of the RF modulation signal to tackle the pulse distortions is discussed.