Considering the sensitivity of amplitude information Faldalllah et al 14 developed Weighted-Permutation Entropy WPE by the variance of neighboring elements in the calculation of PE Subsequently Azami

[16]. In addition, Azami and Escudero [17] proposed a new version of PE, called Permutation Entropy with Quantization (PEQ), which incorporates quantization into the PE calculation to enhance the robustness of the method against amplitude variations. This method has been applied to analyze electroencephalogram (EEG) signals and has shown good performance in distinguishing different brain states [18]. Overall, these amplitude-aware permutation entropy methods have shown promise in analyzing complex time series data with varying amplitude levels.