I. Introduction
Power amplifiers (PAs) exhibit nonlinear characteristics when faced with high-power input signals, which is commonly referred to as PA nonlinearity [1], [2], [3], [4]. The rapid progress of multiple-input and multiple-output (MIMO) technology, coupled with the growing number of subcarriers, has resulted in a significant rise in the peak-to-average power ratio (PAPR) of orthogonal frequency division multiplexing (OFDM) devices. This increase in PAPR poses a major challenge in practical OFDM systems, as it can lead to reduced power efficiency, degraded system performance, and potential distortion in the transmitted signals. PA's nonlinearity has become a vital concern, as it may cause significant performance degradation when faced with high PAPR [5], [6]. To ensure system linearity, designers are compelled to reduce the input power of the amplifier, albeit at the cost of energy efficiency [7]. As a result, reducing PAPR has emerged as a critical problem in OFDM systems and has attracted significant research attention.