In this paper, we propose a Frequency Domain Equalizer (FDE) without inserting the Guard Interval (GI) at the transmitter which is applicable to the Wide-band Code Division Multiple Access (WCDMA) and Orthogonal Frequency-Division Multiplexing (OFDM) systems. The proposed FDE adopts the Overlap-Cut (OC) method to avoid the Inter-Block Interference (IBI) and exploits the decision feedback structure to improve the Bit Error Rate (BER) performance. Without inserting the GI, the proposed FDE will be compatible to the frame format of the current High Speed Downlink Packet Access (HSDPA). Besides, it can improve the BER performance and bandwidth utilization when the GI is less than the channel length of the OFDM system.