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Ultraviolet (UV) and X-ray photons from active galactic nuclei (AGNs) canionize hydrogen in the intergalactic medium (IGM). We solve radiative transferaround AGNs in high redshift to evaluate the 21-cm line emission from theneutral hydrogen in the IGM and obtain the radial profile of the brightnesstemperature in the epoch of reionization. The ionization profile extends over10 [Mpc] comoving distance which can be observed in the order of 10 [arcmin].From estimation of the radio galaxy number counts with high sensitivityobservation through the Square Kilometre Array (SKA), we investigate thecapability of parameter constrains for AGN luminosity function with Fisheranalysis for three evolution model through cosmic time. We find that the errorsfor each parameter are restricted to a few percent when AGNs are sufficientlybright at high redshifts. We also investigate the possibility of furtherparameter constraints with future observation beyond the era of SKA.

Constraining the luminosity function of active galactic nuclei through the reionization observations in the SKA era