  In this paper we investigate the properties of tunneling spectrum from weakly
isolated horizon(WIH). We find that there are correlations among Hawking
radiations from weakly isolated horizon, the information can be carried out in
terms of correlations between sequential emissions, and the radiation is an
entropy conservation process. We generalize Refs.[11-13]' results to a more
general spacetime. Through revisiting the calculation of tunneling spectrum of
weakly isolated horizon, we find that Ref.[12]'s requirement that radiating
particles have the same angular momenta of unit mass as that of black hole is
not needed, and the energy and angular momenta of emitting particles are very
arbitrary which should be restricted only by keeping the cosmic censorship of
black hole.
