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In recent years, Internet access over a digital subscriber line (DSL) has experienced continuous growth. Recent technological advances have increased the potential capacity of the telephone operators' access networks, which were originally intended only to provide a plain old telephone service. However, due to an imperfect balance between the twisted pair channels, different noises occur on the telephone lines. In this paper we introduce new DMT system which is based on Hadamard transform instead of FFT to ADSL system with cyclic prefix and noisy channel. The results of simulation show that Hadamard have better performance (especially in BER) with respect to FFT for two out of three kind of simulations.