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In this paper, we present a new dynamic spectrum access algorithm in multiuser Ultra Wideband cognitive radio networks for spectrum efficiency optimization. The proposed optimization algorithm can optimally distribute the radio spectrum, transmitted power and data bits among different UWB nodes while guaranteeing the aggregate interference power to the primary wireless systems is below a certain threshold. The aggregate interference power in the UWB fading channel environment is computed by using Fenton-Wilkinson method. We analyze the performance of the proposed algorithm over different UWB channel models. The results illustrate that the new dynamic spectrum access algorithm can maximize the spectrum efficiency with a low complexity.