The present invention relates to a method of eliminating the back wave from the signals in the communication network, comprising the filtering of incoming signals and the basic signals in the corresponding back wave path so as to produce N sub-belt signals corresponding to incoming signals and the vectors of N sub-belt basic back wave signals corresponding to the basic signals. Corresponding to the sub-set vectors of the N sub-belt signals, self-adaptation can be achieved so as to form the revised vectors of the sub set similarly corresponding to the N sub-belt basic back wave signals. Based on the revised vectors, the remaining back wave sub-belt errors of every sub-belt signal about the sub set can be determined. Then the sub-belt errors can be compounded so as to produce full-belt signals with the compounded remaining back wave.