Error vector magnitude optimization for OFDM systems with a deterministic peak-to-average power ratio constraint

Orthogonal frequency division multiplexing (OFDM) systems often have to conform to error vector magnitude (EVM) and spectral mask constraints as specified by communications standards. On the other hand, peak-to-average power ratio (PAR) of the signal waveform is also an important metric that influences the system power efficiency and system performance in the presence of nonlinearities. An interesting PAR reduction method was proposed recently that aims at minimizing the symbol-wise PAR subject to symbol-wise EVM and spectral mask constraints. In this paper, we re-formulate the optimization problem and strive to minimize the symbol-wise EVM subject to deterministic PAR and spectral mask constraints. The PAR threshold is chosen such that the root mean-squared (RMS) EVM meets the standard´s requirement. To solve this new optimization problem, a low complexity interior-point method (IPM) is developed. The new optimization framework may be more suitable for practical systems. We provide numerical examples to demonstrate the performance of the proposed technique.