Windowed multicarrier systems with minimum spectral leakage

The transmitter output of OFDM or DMT systems with a rectangular window is known to have large spectral sidelobes. 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 design optimal windows with minimum spectral leakage. Moreover, we show that the post processing affects the SNR at the receiver and the resulting SNR can be given in a closed form. Furthermore, we demonstrate that we can have a good trade-off between SNR and spectral leakage.