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We consider a cognitive radio scenario where a primary and a secondary userwish to communicate with their corresponding receivers simultaneously overfrequency selective channels. Under realistic assumptions that the secondarytransmitter has no side information about the primary's message and eachtransmitter knows only its local channels, we propose a Vandermonde precoderthat cancels the interference from the secondary user by exploiting theredundancy of a cyclic prefix. Our numerical examples show that VFDM, with anappropriate design of the input covariance, enables the secondary user toachieve a considerable rate while generating zero interference to the primaryuser.

Vandermonde Frequency Division Multiplexing for Cognitive Radio