Recent work has used convex optimization to minimize the Peak-to-Average power Ratio (PAR) of OFDM signals subject to a constraint on the constellation Error Vector Magnitude (EVM). This paper extends the PAR optimization technique to Multiple-Input Multiple-Output (MIMO) OFDM systems with channel precoding. In MIMO systems with a large OFDM symbol size, it is infeasible to solve the optimization problem by direct methods such as Cholesky factorization. Instead, an iterative Conjugate-Gradient (CG) method is proposed to find an approximate solution with far lower memory and latency requirements. Future wireless standards such as 802.11n and 802.16e utilize MIMO-OFDM to increase capacity, reliability, and range.
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