This paper deals with the design of blind adaptive mobile receiver for time-hopping (TH) antipodal pulse amplitude modulation (PAM) Ultra wideband (UWB) impulse radio (IR) system. We first employ constrained optimization technique to design a batch mode blind mobile receiver. To reduce the computational complexity, we propose a blind adaptive receiver that is based on the criterion of maximizing the receiver's minimum possible output energy. The algorithm jointly and iteratively optimizes the weight vector and channel impulse response to improve system performance. Simulation results show that the proposed adaptive receiver converges to the optimum batch mode receiver. Moreover, the algorithm is shown to be robust to MUI and near-far problems.