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Aperiodic direct sequence spread spectrum (DSSS) is a special modulation. Owing to its features, some traditional methods for code acquisition cannot be used. Here, we present a highly efficient scheme for the acquisition in aperiodic DSSS system which relies on two steps: the first is the code acquisition using differential detection and the second is timing recovery for data symbol. We also use nonlinear Teager-Kaiser (TK) operator to improve the estimation accuracy comparing with the sliding window only. The simulation results show that the proposed model is adapted to aperiodic DSSS signal and it is simple for hardware application.