  Giant pulses (GPs) are extremely bright individual pulses of radio pulsar. In
microbursts of Crab pulsar, which is an active GP emitter, zebra-pattern-like
spectral structures are observed, which are reminiscent of the `zebra bands'
that are observed in type IV solar radio flares. However, band spacing linearly
increases with the band center frequency of $\sim5-30$\,GHz. In this study, we
propose that the Crab pulsar GP can originate from the coherent instability of
plasma near a light cylinder. Further, the growth of coherent instability can
be attributed to the resonance observed between the cyclotron-resonant-excited
wave and the background plasma oscillation. The particles can be injected into
the closed-field line regions owing to magnetic reconnection near a light
cylinder. These particles introduce a large amount of free energy that further
causes cyclotron-resonant instability, which grows and amplifies radiative
waves at frequencies close to the electron cyclotron harmonics that exhibit
zebra-pattern-like spectral band structures. Further, these structures can be
modulated by the resonance between the cyclotron-resonant-excited wave and the
background plasma oscillation. In this scenario, the band structures of the
Crab pulsar can be well fitted by a coherent instability model, where the
plasma density of a light cylinder should be $\sim10^{13-15}\,\rm{cm^{-3}}$,
with an estimated gradient of $>5.5\times10^5\,\rm{cm^{-4}}$. This process may
be accompanied by high-energy emissions. Similar phenomena are expected to be
detected in other types of GP sources that have magnetic fields of
$\simeq10^6$\,G in a light cylinder.
