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Windowed multicarrier systems with minimum spectral leakage

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The transmitter output of OFDM or DMT systems with a rectangular window is known to have large spectral side-lobes. Windowing and pulse shaping have been proposed to reduce spectral leakage in the literature. If no extra cyclic prefix is available, windowing at the transmitter requires additional post-processing equalization at the receiver. In this paper we will design optimal windows with minimum spectral leakage. Moreover, we will show that the post processing will affect SNR at the receiver and the resulting SNR can be given in a closed form. Furthermore, we will demonstrate we can have a good trade-off between SNR and spectral leakage.

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