Complex signal and system models are considered In this paper, a class of new criteria, which is based on higher-order cumulant. is derived for blind deconvolution, it is pointed out that blind deconvolution may be realized by maximize or minimize the normalized cumulant of the system output, this exhibit a new approach of statistics matching for blind deconvolution. As an example, a new blind deconvolution(equalization) algorithm is proposed. and computer simulation results are included to demonstrate the performance of the proposed algorithm.