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Adaptive pulses in ultra wideband (UWB) wireless communication system are applied by forming notches at some frequencies as a way to suppress its interference to the existing narrowband systems. This paper proposes a novel method in designing adaptive pulses by using the Cognitive Radio technology and Parks-McClellan algorithm. Cases of arbitrary narrowband interferences are studied. The simulation results show that the power spectrum density of the proposed pulses not only meets the constraints of the FCC indoor mask but also avoid the narrowband interferences. The comparison of bit error rate performance is presented by using the proposed pulses and the fifth-order derivative Gaussian pulse to the time hopping UWB system in the additive white Gaussian noise channel. With low computational complexity, the proposed pulses have lower bit error rate and hence improve whole UWB system performance.