In the high-speed mobile wideband communication system, motions of receivers, transmitters or wireless environments generate Doppler frequency. The Doppler effect and instantaneous fading frequency induces serious waveform distortion in the received signal. To solve these problems, the paper presents an improved equalization model, the new model combines the Bayesian detector and decision feedback equalizer (DFE) to form a new effective BDFE structure, which is superior to traditional equalization structure in the mobile environment. Further, a new algorithm is given to achieve faster convergence and smaller steady-state error, the new algorithm take Marr function as a basis function, and two parameters shape the profile of function, with the simulation tool, the optimization values are obtained for the new model and algorithm. The experimental results show that the new algorithm can improve the output SNR up to 6 dB gain with the new BDFE model.