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In order to reduce the inter-carrier interference (ICI) produced by frequency offset in OFDM systems, we set up an optimization problem to find the transmission pulse which maximizes the signal-to-average-ICI power ratio. Furthermore, by solving a constrained convex optimization problem, our pulses can satisfy various decay requirements, for instance with respect to a prescribed spectral mask. The latter is an important feature in order to comply with industry standard specifications. Furthermore we discuss issues concerning the numerical treatment of the constrained convex optimization problem. Simulation results show that our pulses outperform many currently known transmission pulses with respect to the ICI criterion.