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With the development of the ubiquitous telephone network, speaker recognition-a more direct authentication technology attracts further attention. In this paper, an overview on the primary parts of current speaker recognition technology-modeling technology is presented. Based on the typical system structure we discussed the effective modeling techniques for both speaker and background, and distortion compensation techniques. Some issues on the technical challenges of current speaker recognition applications are also included so that some potential future trend in research, development and applications may be concluded.