Aimed at the problems that in wavelet domain communication system, the traditional generation method of basis function is different from Transform Domain Communication System based on frequency domain, and the traditional threshold decision algorithm is difficult to eliminate the interference effectively in wavelet domain communication system, Consecutive Mean Excision （CME）algorithm and Forward Consecutive Mean Excision（FCME）algorithm are introduced into amplitude spectrum shaping module of wavelet domain communication system. The two algorithms divide the wavelet transform domain into two parts, i.e. the interference subband and the noise subband. They utilize the recursive method of continuous iteration and successive approximation for calculating the threshold adaptively, effectively eliminating different types of interference without estimation of the noise power. The simulation results show that these two algorithms are prior to the traditional threshold algorithm under the condition of strong interference. And in the case of audio interference, the antiinterference performance of CME algorithm is superior to FCME; in the case of narrowband interference, the antiinterference performance of FCME algorithm is better than that of CME; and in the case of linear frequency modulation jamming, the two algorithms behave close to each other.