Quasi cyclic-Low Density Parity Check (Qc-LDPC) codes have the characteristics of simple structure, low decoding complexity and good performance of error correction. Multipath fading is an important factor of degrading the communication system performance. Adaptive decision feedback equalizer is an effective technology to overcome the multipath affection. Based on irregular Qc-LDPC codes and multi-channel adaptive decision feedback equalizer, a wireless communication system is proposed to obtain better performance of data transmission. Matlab simulation proves the validity of the proposed system.