This work proposes an adaptive frequency-domain equalizer (FDE) for single carrier and OFDM indoor over Gbps data rate wireless receiver. System simulation and specifications are based on the IEEE 802.15.3c standard. The proposed LS-LMS FDE uses low computational complexity Least-Mean-Square (LMS) algorithm with Least-Square (LS) channel estimation to accelerate the convergence speed. The FDE can be used for dual mode (SC and HSI) Wireless Personal Area Networks (WPAN) system. The simulation results show that the LS-LMS FDE can achieve 1.32*10-4 BER in SC mode and 6.55*10-3 in HSI mode (both uncoded) at SNR 14 dB. The total area is about 415K gate-count with 69% shared among single carrier and OFDM mode except 2 FFT. The power consumption is only 81.27 mW when working at 400MHz.