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EVM Closed-Form Expression for OFDM Signals with Tone Reservation-Based PAPR Reduction
IEEE Transactions on Wireless Communications ( IF 10.4 ) Pub Date : 2020-04-01 , DOI: 10.1109/twc.2020.2964196
Mariam El Hassan , Matthieu Crussiere , Jean-Francois Helard , Youssef Nasser , Oussama Bazzi

Peak to average power ratio (PAPR) reduction of OFDM signals has extensively been studied in the literature. Tone Reservation (TR) is one of the most famous algorithms and has already been included in some digital television standards such as DVB-T2 and ASTC3.0. However, the literature is still lacking theoretical analysis and performance bounds for the PAPR reduction of OFDM signals, especially using TR algorithms. For the first time, this paper provides fundamental results establishing the links between TR-PAPR reduction and the remaining signal distortions at the output of a non-linear high power amplifier (HPA) with and without memory effects. We first derive a generic EVM expression relying on the statistical characteristics of the samples composing the time domain signal and for any PAPR reduction technique. Computing these moments in the case of the quadratically constrained quadratic problem (QCQP) algorithm known as the optimal solution to the TR-PAPR reduction problem allows us to get the lower bound of the EVM of OFDM signals after TR-PAPR reduction and non-linear HPA. As a reference, we also provide the EVM expression using a clipping-based PAPR reduction method. The obtained EVM expressions have direct practical meaning since they are in function of the input power back-off (IBO) applied to the signal before the HPA. They also consist in a general analytical framework for OFDM PAPR reduction since they can be further exploited to analyze the performance of sub-optimal TR-based PAPR reduction algorithms.

中文翻译:

基于音调保留的 PAPR 降低的 OFDM 信号的 EVM 闭式表达式

OFDM 信号的峰均功率比 (PAPR) 降低已在文献中进行了广泛研究。音调保留 (TR) 是最著名的算法之一,已经包含在一些数字电视标准中,例如 DVB-T2 和 ASTC3.0。然而,文献仍然缺乏对 OFDM 信号 PAPR 降低的理论分析和性能界限,尤其是使用 TR 算法。本文首次提供了基本结果,建立了 TR-PAPR 降低与非线性高功率放大器 (HPA) 输出端剩余信号失真之间的联系,有无记忆效应。我们首先根据构成时域信号的样本的统计特征和任何 PAPR 降低技术推导出通用 EVM 表达式。在称为 TR-PAPR 降低问题的最佳解决方案的二次约束二次问题 (QCQP) 算法的情况下计算这些矩使我们能够获得 TR-PAPR 降低和非线性后 OFDM 信号的 EVM 的下限高功率放大器。作为参考,我们还提供了使用基于裁剪的 PAPR 降低方法的 EVM 表达式。获得的 EVM 表达式具有直接的实际意义,因为它们是在 HPA 之前应用于信号的输入功率回退 (IBO) 的函数。它们还包括用于 OFDM PAPR 降低的通用分析框架,因为它们可以进一步用于分析基于 TR 的次优 PAPR 降低算法的性能。
更新日期:2020-04-01
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