There are some similarities between bursts of repeating fast radio bursts (FRBs) and giant pulses (GPs) of pulsars. To explore possible relations between them, we study the cumulative energy distributions of these two phenomena using the observations of repeating FRB 121102 and the GPs of Crab pulsar. We find that the power-law slope of GPs (with fluence ≥130 Jy·ms) is 2.85±0.10. The energy distribution of FRB 121102 can be well fitted by a smooth broken power-law function. For the bursts of FRB 121102 above the break energy (1.22 · 10³⁷ erg), the best-fitting slope is 2.90 ^+0.55_−0.44 , similar to the index of GPs at the same observing frequency (<1.4 GHz). We further discuss the physical origin of the repeating FRB 121102 in the framework of the super GPs model. And we find that the super GPs model involving a millisecond pulsar is workable and favored for explaining FRB 121102 despite that the magnetar burst model is more popular.

重复的快速无线电脉冲串（FRB）和脉冲星的巨脉冲（GP）之间存在一些相似之处。为了探索它们之间的可能关系，我们使用重复FRB 121102和蟹状脉冲星的GPs的观察来研究这两种现象的累积能量分布。我们发现（通量≥130Jy·ms）GP的幂律斜率为2.85±0.10。FRB 121102的能量分布可以通过平滑的断幂律函数很好地拟合。对于突破能量（1.22·10 ³⁷ erg）以上的FRB 121102爆发，最佳拟合斜率为2.90 ^+0.55 _-0.44 ，类似于在相同观察频率（<1.4 GHz）下GP的索引。我们将在超级GP模型的框架中进一步讨论重复FRB 121102的物理起源。而且我们发现，尽管磁爆模型更受欢迎，但涉及毫秒脉冲星的超级GPs模型是可行的，并且有助于解释FRB 121102。