## 5 Conclusions  
Quantified electroencephalography by standard spectral analyses has provided novel information about brain activity in both health and disease. The CWA showed advantages to uncovering information inside of an EEG through the simultaneous analysis of the five brainwaves and identifying the influence between them. This information is observed in the global wavelet spectra, where the values of frequency and power with respect to time are shown. To conserve the information of the simultaneous five brainwaves, it is important to avoid continuous filtering processes or segmentation in the frequency of the EEG, which occurs when the brainwaves are individually analyzed. Also, it is very relevant to mention that we could eliminate physiological and external artifacts in the EEG initially with the iCWT and later with the XWT. The frequency and power information for the brainwaves obtained by other spectral analyses represents sections of physiological states and does not consider continuous activity. In this research, we applied the CWA to uncover temporal information of a standard EEG and identify the differences or similarities between pathophysiological states, sex, or age. The method showed well-defined changes in frequency, dispersion, and power gradients for men with PD as well as for the CL age-matched group, mainly characterized by decrements of \(\alpha\) and increments of \(\delta\) brainwaves. The progress of PD associated with aging demonstrated an increment in the \(\theta\) brainwave in men with PD at an older age. Comparative analysis of an EEG from men with PD and women with PD as well as with their respective CL age-matched groups provides evidence that men with PD < 60 had drastic changes in the global wavelet profile when compared to women with PD < 60 who have less symptoms at the same age. Our results confirm sex-related differential abnormalities in the brain activity of PD, which could be clinically related to the presence of earlier motor symptoms presented in men. The CWA of the EEG in women with PD > 60 showed global wavelet profiles similar to men with PD < 60, indicating a potential delay in the progress of motor symptoms observed clinically in women. The observations we obtained in this study are complementary to the age-related study of women with PD. In both, we highlight the benefits offered by the CWA applied to quantitative electroencephalography. Brainwave characterization with this method can reveal brain activity impairments in the early stages of neurodegenerative processes. Finally, it is important to mention that the findings of this study also contribute to the advancement of EEG analysis methods, leading to more accurate and reliable results, significantly impacting the clinical diagnosis, treatment, and monitoring of neurological disorders. The identification of relevant biomarkers through this sophisticated methodology holds significant promise for future clinical analyses, contributing to the development of more targeted and effective diagnostic and therapeutic approaches in the field of neuroscience. The disadvantage of the CWA is that it is a less understood and applied method in EEG or biomedical timeseries, which requires great knowledge of signal theory and spectral analysis. Hence, currently, it is not applied in the biomedical area. G.G.-G.: conceptualization, methodology, formal analysis, data curation, writing original draft. V.M.V.H. : conceptualization, methodology, formal analysis, validation. A.O.-A. : conceptualization, formal analysis, writing-review and editing, supervision, project administration. All authors have read and agreed to the published version of the manuscript. **Funding:** [PERSON] is a doctoral student from the Programa de Doctorado en Ciencias Biomedicas, Universidad Nacional Autonoma de Mexico (UNAM) and has received a CONACyT fellowship CVU771755.