We consider a natural generalization of Borell’s isoperimetric inequality for Gaussian space for multiple sets of unequal measures. We show that this conjecture is false. The argument combines the first variation with a simple analyticity argument, the latter being a new ingredient. (joint work with Elchanan Mossel and Joe Neeman [7])

In this paper, we consider orthogonal space-frequency transmit diversity schemes for OFDM systems in broadband wireless channels. We propose a compensation method to prevent error floor caused by unequal subchannels in the space-frequency block coded OFDM systems for 2 and 3 transmit antennas while providing diversity gain. We will show that for 2 antennas case, the proposed compensation method...