In OFDM radar, two distinct processing techniques call for different sets of constraints for the OFDM pulse. On the one hand the variations of the time domain envelope must be minimized. On the other hand, not only this, but the sidelobe level of the compressed pulse shall also be minimized. While a number of techniques exist to address both problems separately or jointly, they were never proven to be optimal. In contrast, the recently developed convex optimization techniques guarantee the best solution for the particular problem at stake while involving short computation times. In this paper, we address the unrestricted problem of the so-called peak-to-mean envelope power ratio (PMEPR) optimization jointly with the design of optimal mismatched filters for the OFDM case. We demonstrate that our convex based method is able to outperform a number of state-of-the-art techniques.
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