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Analytical bit error rate (BER) results of a chip-interleaving direct sequence (DS) spread spectrum (SS) system using nonlinearity in the presence of pulsed interference are presented. Several simple nonlinearities, such as hole puncher, soft clipper, and hard limiter nonlinearities, are studied. The BERs of a conventional DS SS system employing the same nonlinearities are also given. The proposed system is compared with the conventional DS SS system using numerical examples.