— A low complexity soft-input soft-output (SISO) block decision feedback equalization (BDFE) algorithm is presented for Turbo equalization. Based on minimum mean square error (MMSE) criterion, the feedforward filter and feedback filter of BDFE are formulated by extracting symbol statistics from soft a priori information at the equalizer input. The adoption of a priori information during filter design greatly benefit system performance. In addition, the soft-output of the equalizer is obtained by evaluating an approximation of sequence-based a posteriori probability (APP) of data symbols. The sequence-based APP approximation is enabled by hard a priori information from previous iteration, and it outperforms symbol-based detection method adopted by most other low complexity algorithms.