  This paper is devoted to the study of operator-valued Hardy spaces via
wavelet method. This approach is parallel to that in noncommutative martingale
case. We show that our Hardy spaces defined by wavelet coincide with those
introduced by Tao Mei via the usual Lusin and Littlewood-Paley square
functions. As a consequence, we give an explicit complete unconditional basis
of the Hardy space H1(R) when H1(R) is equipped with an appropriate operator
space structure.
