A decision feedback equalization apparatus includes a channel estimation unit estimating a channel on received signal based on the received signal and a training sequence; a channel matched filter maximizing SNR from the channel estimated by the channel estimation unit changing channel characteristics of the received signal; a noncausal filter approximating the changed channel; an equalizer input signal storage unit storing received symbols passed through the channel matched and the noncausal filters; a channel equalization unit performing a decision feedback equalization; a Trellis decoder detecting symbol from a channel-equalized signal; a mode selection unit selecting a specific mode; an error signal calculator comparing an output signal of the selected mode with an output signal of the channel equalization unit to calculate an error signal; and a tap coefficient updater updating tap coefficients to the channel equalization unit, an output signal from the storage unit, and an output signal from the Trellis decoder.