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Orthogonal frequency-division multiplexing (OFDM) has been specified by the IEEE 802.11a standard as the transmission technique for high-rate wireless local area networks (WLANs). The performance of an OFDM system, however, is heavily degraded by random Wiener phase noise, which causes both common phase error (CPE) and inter-carrier interference (ICI). To mitigate this problem, a new phase noise suppression (PNS) algorithm is proposed to efficiently eliminate the effect of phase noise on OFDM-based WLANs. Numerical results are presented to illustrate the effectiveness of the proposed algorithm.