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Ultra wideband (UWB) systems can cause potential interference to other narrowband systems sharing the same band, such as WiMax and Wi-Fi. Detect and avoid (DAA) mechanisms were suggested as a cognitive radio-based solution to reduce interference by adaptively reducing the transmitted power at the overlapping bands. Applying this mechanism may result in degrading the performance of UWB transmissions. In this paper, we suggest a minor modification to the DAA mechanism to mitigate this effect while preserving data rate, and thus providing UWB with more reliability. Simulation results show significant improvement in performance over various interference scenarios and data rates.