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Signal processing techniques have attracted a lot of attention recently in the networking security technology, because of their capability of detecting novel intrusions or attacks. In this paper, we propose a new detection mechanism of network traffic anomaly based on Analytical Discrete Wavelet Transform (ADWT) and high-order statistical analysis. In order to describe the network traffic information, we use a set of features based on different metrics. We evaluate our technique with the 1999 DARPA intrusion detection dataset. The test results show that the proposed approach accurately detects a wide range of anomalies.