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The effects of a narrowband interference in a PN spread spectrum system can be minimized by employing a whitening filter. The performance of this filter can be improved if its impulse response is symmetrical. In this paper an optimum LS FIR smoother is adopted to perform the whitening process and a new efficient algorithm is presented to compute the smoothers coefficients. To demonstrate the effectiveness of the LS FIR smoother in suppressing a narrowband interference, simulations are carried out and the results are compared with those obtained by previously employed techniques.