  Post-reionisation 21cm intensity mapping experiments target the spectral line
of neutral hydrogen (HI) resident in dark matter haloes. According to the halo
model, these discrete haloes trace the continuous dark matter density field
down to a certain scale, which is dependent on the halo physical size. The halo
physical size defines an exclusion region which leaves imprints on the
statistical properties of HI. We show how the effect of exclusion due to the
finite halo size impacts the HI power spectrum, with the physical boundary of
the host halo given by the splashback radius. Most importantly, we show that
the white noise-like feature that appears in the zero-momentum limit of the
power spectrum is exactly cancelled when the finite halo size is taken into
consideration. This cancellation in fact applies to all tracers of dark matter
density field, including galaxies. Furthermore, we show that the exclusion due
to finite halo size leads to a sub-Poissonian noise signature on large scales,
consistent with the results from N-body simulations
