Abstract: A simplified hierarchical equalizer's extrinsic information of base-layer for 4-QAM multi-layer modulation is presented. A new hierarchical equalization method of base layer is applied to multi-layer modulation. Simulation results show that the proposed hierarchical equalization method works effectively for multi-layer modulations and the simplified equalizer's extrinsic information algorithm is able to reduce the calculation complexity degrees of equalizer's extrinsic information without the loss of bit error rate (BER) performance.