IEEE 802.16e standard has been proposed as a specification for the next generation wireless communication system. Synchronization plays an important role for a wireless receiver. Because the repetition of preamble is unapparent in orthogonal frequency division multiple access (OFDMA) modulation mode, a correlation based scheme like match filter is used to estimate the symbol boundary and integer carrier frequency offset (ICFO). In this paper, an effective hardware architecture of correlation is proposed. By adopting the modified algorithm, mass of multipliers are removed from hardware implementation. Design results show that 56 %area reduction and 64% power saving are achieved. Moreover, a ping-pong algorithm is proposed to increase the accuracy of ICFO synchronization about two orders at most.