In a typical OFDM system, a time domain equalizer (TEQ) can be used in order to reduce the channel length, allowing for shortening of the Cyclic Prefix (CP). In this paper, a novel TEQ method is proposed for OFDM systems, which can reduce implementation complexity without sacrificing performance. Furthermore, the length of the proposed TEQ may be arbitrary. For time-varying channels, an adaptive method is also developed to track the variation of the optimum TEQ coefficients rather than recomputing inversion of the channel matrix.