## 4 Conclusions  
The comprehensive investigation into the interplay between solar flares and the ionosphere has yielded profound insights that hold vast implications for both scientific knowledge and practical applications. Through meticulous data analysis, strategic methodology selection, and rigorous validation, a nuanced understanding of the intricate relationship between these space weather events has emerged. A pivotal discovery arising from this study is the significant influence of sampling intervals on the detection and characterization of ionospheric disturbances induced by solar flares. The identification of previously unnoticed variations at high frequencies within the Total Electron Content (TEC) during solar flare events underscores the critical importance of selecting appropriate sampling intervals. The establishment of a 5 Hz sampling interval as optimal not only enhances the capture of sporadic events but also ensures efficient data processing. This choice was determined  
Figure 12: Averaging the wavelets per station of the analyzed events. through comprehensive testing, which demonstrated that higher sampling rates led to increased data volume without significantly improving event detection accuracy, while lower rates risked missing important fluctuations in TEC during solar flare events. Furthermore, the implementation of wavelet analysis, particularly at levels 7 and 8, has provided unprecedented accuracy in portraying ionospheric perturbations caused by solar flares. This refined methodology, capable of detecting minute anomalies at 0.1 TECU and 2 Hz intervals, reaffirms its effectiveness in unraveling even subtle ionospheric fluctuations. The investigation reveals the influence of solar flares, specifically those of X-class intensity up to X2, on the ionosphere. Disturbances originating from solar flares even at the solar disk periphery emphasize the far-reaching consequences of these events. The convergence of anomalies across multiple monitoring stations solidifies their authenticity and establishes them as significant events with substantial implications for ionospheric dynamics. The study findings have been robustly validated through application to event-free days, confirming their accuracy and reliability. The alignment of detected perturbations with the onset and termination phases of solar flares further supports the causal link between solar flares and ionospheric disturbances, reinforcing the importance of these findings in the context of space weather phenomena. In summary, this intricate study, involving thorough data analysis and accurate techniques, provides a novel approach for detecting solar influences on the ionosphere. While it represents an important step, further research is needed to deepen our comprehension of the complex interaction between solar flares and the ionosphere. Examining the ionosphere at these specific time points reveals certain frequencies that go unnoticed when investigating Total Electron Content (TEC) through individual stations and at lower frequencies. Conceptualization, C.L.-U. and G.E.V.-B. ; methodology, C.L.-U. and K.N. ; software, C.L.-U. ; validation, C.L.-U., G.E.V.-B. and R.L.-M.; formal analysis, C.L.-U., R.L.-M. and K.N. ; investigation, C.L.-U. ; resources, C.L.-U. and K.N. ; data curation, C.L.-U. ; writing--original draft preparation, C.L.-U. and K.N. ; writing--review and editing, C.L.-U. and K.N. ; visualization, C.L.-U. and K.N. ; supervision, G.E.V.-B. and R.L.-M. All authors have read and agreed to the published version of the manuscript. This work was carried out with the support (CVU: 859540) of the National Council of Science and Technology (CONACyT) in Mexico. The data can be made available on request. The authors would like to express sincere gratitude to the UNAM Geophysical Institute for their invaluable contribution to this research through the provision of essential data.