In order to solve the problem that the original decoding algorithm of multi-band LDPC codes is high and is not conducive to hardware implementation, two simplified decoding algorithms for multi-band LDPC codes are studied: the reliability propagation based on fast Fourier transform Code algorithm (FFT-BP) and log-BP decoding algorithm based on logarithmic operations. The simulation results show that the FFT-BP decoding algorithm is more convenient and efficient.