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This paper proposes a new robust wavelet-based fast adaptive filtering algorithm for acoustie echo cancellation.Using partial Haar wavelet transform to explore the sparsity of echa path and updating the system with a shorter length fast QRD Recursive Least Squares filter,the new algorithm achieves fast convergence rate and low computational complexity.Moreover,the new algorithm also employs robust M-estimation to improve its robustness to impulsive noise.Experiments are also conducted to verify the efficiency of the new algorithm.