Alejandro Aragón-Zavala
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Alejandro Aragón-Zavala has a total of 65 co-authors. Here are the top co-authors by number of shared publications:
- Gerardo Castañón
School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501, Monterrey 64849, Nuevo Leon, Mexico
22 shared publications - Ivan Aldaya
School of Engineering of Sao Joao da Boa Vista, Sao Paulo State University (UNESP), Sao Joao da Boa Vista CEP 13876-750, SP, Brazil
10 shared publications - Gabriel Campuzano
Department of Electrical and Computer Engineering, Tecnológico de Monterrey, Mexico
7 shared publications - Ana Maria Sarmiento
School of Engineering and Science, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501, Monterrey 64849, Nuevo Leon, Mexico
6 shared publications - Melissa Eugenia Diago Mosquera
Departamento de Electrnica, Universidad Tcnica Federico Santa Mara, Valparaso, Chile
6 shared publications - Gustavo Adulfo López-Ramírez
School of Engineering and Sciences, Tecnológico de Monterrey
5 shared publications
Latest Publications
- Open Access
Pulse-Generation Maps in External-Cavity Semiconductor Lasers with Short-Delay Optical Feedback
We investigate pulse generation in external-cavity semiconductor lasers subject to short-delay optical self-feedback using a deterministic quadrature-based delay-differential model. High-resolution pulse-generation maps are constructed in the parameter space, where , for pump ratios , 6, 8, and 10, where . For each pump level, the feedback delay is normalized to the solitary-laser relaxation-oscillation period and set to and 1, providing a physically consistent basis for comparing pulsing regimes across operating conditions. Post-transient intensity traces are classified in the time domain using complementary measures of pulse separation, temporal regularity, pulse width, duty factor, valley-to-peak ratio, peak prominence, baseline occupancy, and autocorrelation, thereby reducing the misclassification of strongly distorted periodic oscillations as regular pulse trains. The resulting maps characterize the existence, repetition rate, mean pulse width, and duty factor of the detected pulses. The results reveal that pulse generation is governed by the combined effects of feedback strength, feedback phase, pump ratio, and normalized delay. Notably, increasing the pump ratio systematically shifts the pulsing regimes toward higher repetition rates, with representative values increasing from approximately 2 GHz at to above 7 GHz at , demonstrating clear pump-controlled tuning of the generated pulse trains. The considered short delays correspond to millimeter- to centimeter-scale optical feedback paths for representative photonic platforms. These results provide a reproducible framework for identifying feedback-induced regular pulsing regimes and may support the design of compact semiconductor-laser sources for sensing, ranging, and integrated photonic applications.Open AccessPulse-Generation Maps in External-Cavity Semiconductor Lasers with Short-Delay Optical Feedback
We investigate pulse generation in external-cavity semiconductor lasers subject to short-delay optical self-feedback using a deterministic quadrature-based delay-differential model. High-resolution pulse-generation maps are constructed in the parameter space, where , for pump ratios , 6, 8, and 10, where . For each pump level, the feedback delay is normalized to the solitary-laser relaxation-oscillation period and set to and 1, providing a physically consistent basis for comparing pulsing regimes across operating conditions. Post-transient intensity traces are classified in the time domain using complementary measures of pulse separation, temporal regularity, pulse width, duty factor, valley-to-peak ratio, peak prominence, baseline occupancy, and autocorrelation, thereby reducing the misclassification of strongly distorted periodic oscillations as regular pulse trains. The resulting maps characterize the existence, repetition rate, mean pulse width, and duty factor of the detected pulses. The results reveal that pulse generation is governed by the combined effects of feedback strength, feedback phase, pump ratio, and normalized delay. Notably, increasing the pump ratio systematically shifts the pulsing regimes toward higher repetition rates, with representative values increasing from approximately 2 GHz at to above 7 GHz at , demonstrating clear pump-controlled tuning of the generated pulse trains. The considered short delays correspond to millimeter- to centimeter-scale optical feedback paths for representative photonic platforms. These results provide a reproducible framework for identifying feedback-induced regular pulsing regimes and may support the design of compact semiconductor-laser sources for sensing, ranging, and integrated photonic applications. - Open Access
- 8 August 2026
- Published by Springer Nature in Scientific Reports
- Vol. 16 (1)
Spatially validated physics-guided residual learning for indoor path loss prediction
- 8 August 2026
- Published by Springer Nature in Scientific Reports
- Vol. 16 (1)
Open AccessSpatially validated physics-guided residual learning for indoor path loss prediction
- Open Access
- 26 June 2026
- Published by MDPI AG in Applied Sciences
- Vol. 16 (13) , 6409
Deterministic Chaos Maps in External-Cavity Semiconductor Lasers with Short-Delay Optical Feedback
In this work, we investigate deterministic chaos in external-cavity semiconductor lasers with delayed optical self-feedback. A noise-free quadrature-based delay differential model is used to isolate the intrinsic nonlinear dynamics produced by phase-sensitive delayed reinjection and carrier–photon interactions. Sensitivity to initial conditions is quantified by computing the leading Lyapunov exponents through a variational approach that integrates the base delay differential equations together with their delayed variational equations using a fourth-order Runge–Kutta method of steps and periodic QR orthonormalization. High-resolution Lyapunov maps are constructed in the parameter space for different pump ratios and selected short-feedback delays. The delay values are interpreted through the reference-normalized ratio , where is a fixed reference timescale derived from a reference solitary-laser operating point. The results show that both the spatial organization of positive- regions and the mean positive Lyapunov exponent are strongly affected by feedback delay, feedback phase, feedback strength, and pump ratio. Within the selected short-delay set, delayed self-feedback produces broader, more connected, and more strongly unstable chaotic regions as the external-cavity memory time increases toward the fixed reference timescale, particularly at larger pump ratios. These findings show that short external-cavity self-feedback can support robust deterministic chaotic regimes relevant to compact and integrated photonic implementations. The proposed framework provides a reproducible deterministic reference for identifying and interpreting feedback-induced chaos in short-delay external-cavity semiconductor lasers, while stochastic effects such as spontaneous-emission and Langevin noise are left for future robustness studies.- 26 June 2026
- Published by MDPI AG in Applied Sciences
- Vol. 16 (13) , 6409
Open AccessDeterministic Chaos Maps in External-Cavity Semiconductor Lasers with Short-Delay Optical Feedback
In this work, we investigate deterministic chaos in external-cavity semiconductor lasers with delayed optical self-feedback. A noise-free quadrature-based delay differential model is used to isolate the intrinsic nonlinear dynamics produced by phase-sensitive delayed reinjection and carrier–photon interactions. Sensitivity to initial conditions is quantified by computing the leading Lyapunov exponents through a variational approach that integrates the base delay differential equations together with their delayed variational equations using a fourth-order Runge–Kutta method of steps and periodic QR orthonormalization. High-resolution Lyapunov maps are constructed in the parameter space for different pump ratios and selected short-feedback delays. The delay values are interpreted through the reference-normalized ratio , where is a fixed reference timescale derived from a reference solitary-laser operating point. The results show that both the spatial organization of positive- regions and the mean positive Lyapunov exponent are strongly affected by feedback delay, feedback phase, feedback strength, and pump ratio. Within the selected short-delay set, delayed self-feedback produces broader, more connected, and more strongly unstable chaotic regions as the external-cavity memory time increases toward the fixed reference timescale, particularly at larger pump ratios. These findings show that short external-cavity self-feedback can support robust deterministic chaotic regimes relevant to compact and integrated photonic implementations. The proposed framework provides a reproducible deterministic reference for identifying and interpreting feedback-induced chaos in short-delay external-cavity semiconductor lasers, while stochastic effects such as spontaneous-emission and Langevin noise are left for future robustness studies. - Open Access
- 28 April 2026
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Open Journal of Antennas and Propagation
- Vol. PP, 1
Beyond Homoscedastic Channel Models: An Uncertainty-Aware Stochastic Neural Network Approach for C-Band Total Path Loss Prediction in Vegetated Scenarios
Achieving the multi-layered spectral objectives of sixth-generation (6G) networks requires high-fidelity channel characterization, particularly for C-band deployments in complex vegetated environments supporting cellular vehicle-to-everything (C-V2X) and non-terrestrial networks (NTN). This study presents a physics-aware, heteroscedasticity-driven channel modeling framework that utilizes Variational Gaussian Processes (VGP) to quantify both aleatory and epistemic uncertainties, thereby characterizing the non-stationary dynamics of foliage-induced shadowing. By employing an Exponentiated Quadratic (EQ) kernel, the proposed stochastic architecture captures spatial correlation from real-world measurements at 4.9, 5.85, and 6.1 GHz. The results demonstrate a significant enhancement in predictive accuracy, achieving average Root Mean Square Error (RMSE) reductions of 73%, 76%, 82%, and 75% over traditional Floating-Intercept (FI), Close-In (CI), ABG, and CIF empirical benchmarks, respectively. These improvements are further validated through coverage probability and spread ratio metrics. Our findings establish variance-adaptive probabilistic regression as a robust alternative to the homoscedastic linear assumption, advancing 6G propagation modeling in high-entropy, vegetated scenarios.
- 28 April 2026
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Open Journal of Antennas and Propagation
- Vol. PP, 1
Open AccessBeyond Homoscedastic Channel Models: An Uncertainty-Aware Stochastic Neural Network Approach for C-Band Total Path Loss Prediction in Vegetated Scenarios
Achieving the multi-layered spectral objectives of sixth-generation (6G) networks requires high-fidelity channel characterization, particularly for C-band deployments in complex vegetated environments supporting cellular vehicle-to-everything (C-V2X) and non-terrestrial networks (NTN). This study presents a physics-aware, heteroscedasticity-driven channel modeling framework that utilizes Variational Gaussian Processes (VGP) to quantify both aleatory and epistemic uncertainties, thereby characterizing the non-stationary dynamics of foliage-induced shadowing. By employing an Exponentiated Quadratic (EQ) kernel, the proposed stochastic architecture captures spatial correlation from real-world measurements at 4.9, 5.85, and 6.1 GHz. The results demonstrate a significant enhancement in predictive accuracy, achieving average Root Mean Square Error (RMSE) reductions of 73%, 76%, 82%, and 75% over traditional Floating-Intercept (FI), Close-In (CI), ABG, and CIF empirical benchmarks, respectively. These improvements are further validated through coverage probability and spread ratio metrics. Our findings establish variance-adaptive probabilistic regression as a robust alternative to the homoscedastic linear assumption, advancing 6G propagation modeling in high-entropy, vegetated scenarios.
- Open Access
- 16 March 2026
- Published by MDPI AG in Applied Sciences
- Vol. 16 (6) , 2835
On the Numerical Reliability of Lyapunov-Based Chaos Analysis in Optically Injected Semiconductor Lasers: A Phasor-Quadrature Comparison
Lyapunov-exponent-based diagnostics are widely used to quantify deterministic chaos in optically injected semiconductor lasers (OISLs). In most numerical implementations, the optical field is represented either in phasor coordinates or in Cartesian quadrature coordinates . Although these representations are mathematically related through a smooth coordinate transformation away from vanishing field amplitude, their numerical realizations can exhibit markedly different robustness in variational calculations, directly impacting the reliability of Lyapunov exponent estimation and chaoticity maps. In this work, we present a systematic assessment of the numerical reliability of Lyapunov-based chaos analysis in master-slave optically injected semiconductor lasers using both phasor and quadrature formulations. The full Lyapunov spectrum was computed via a noise-free variational method that integrates the nonlinear dynamics together with the corresponding Jacobian equations using a fourth-order Runge-Kutta scheme combined with periodic QR orthonormalization. High-resolution Lyapunov maps were constructed in the injection strength-frequency detuning parameter space, and the consistency between both formulations was quantitatively evaluated. While both approaches reproduce the overall structure of chaotic and non-chaotic regions, the phasor formulation may generate spurious positive Lyapunov exponents in regimes where the optical field amplitude approaches low values. These discrepancies originate from singular terms proportional to and in the variational Jacobian of the phasor model, which can lead to numerical amplification and artificial chaotic signatures. The quadrature formulation avoids these singularities and provides numerically stable and physically consistent Lyapunov spectra across the explored parameter space. The results establish practical guidelines for robust chaos quantification in optically injected semiconductor lasers and highlight the importance of representation choice in variational Lyapunov analysis of nonlinear photonic systems.- 16 March 2026
- Published by MDPI AG in Applied Sciences
- Vol. 16 (6) , 2835
Open AccessOn the Numerical Reliability of Lyapunov-Based Chaos Analysis in Optically Injected Semiconductor Lasers: A Phasor-Quadrature Comparison
Lyapunov-exponent-based diagnostics are widely used to quantify deterministic chaos in optically injected semiconductor lasers (OISLs). In most numerical implementations, the optical field is represented either in phasor coordinates or in Cartesian quadrature coordinates . Although these representations are mathematically related through a smooth coordinate transformation away from vanishing field amplitude, their numerical realizations can exhibit markedly different robustness in variational calculations, directly impacting the reliability of Lyapunov exponent estimation and chaoticity maps. In this work, we present a systematic assessment of the numerical reliability of Lyapunov-based chaos analysis in master-slave optically injected semiconductor lasers using both phasor and quadrature formulations. The full Lyapunov spectrum was computed via a noise-free variational method that integrates the nonlinear dynamics together with the corresponding Jacobian equations using a fourth-order Runge-Kutta scheme combined with periodic QR orthonormalization. High-resolution Lyapunov maps were constructed in the injection strength-frequency detuning parameter space, and the consistency between both formulations was quantitatively evaluated. While both approaches reproduce the overall structure of chaotic and non-chaotic regions, the phasor formulation may generate spurious positive Lyapunov exponents in regimes where the optical field amplitude approaches low values. These discrepancies originate from singular terms proportional to and in the variational Jacobian of the phasor model, which can lead to numerical amplification and artificial chaotic signatures. The quadrature formulation avoids these singularities and provides numerically stable and physically consistent Lyapunov spectra across the explored parameter space. The results establish practical guidelines for robust chaos quantification in optically injected semiconductor lasers and highlight the importance of representation choice in variational Lyapunov analysis of nonlinear photonic systems. - Open Access
- 4 September 2025
- Published by MDPI AG in Applied Sciences
- Vol. 15 (17) , 9724
High-Resolution Chaos Maps for Optically Injected Lasers
Deterministic chaos in optically injected semiconductor lasers (OILs) has attracted significant attention due to its relevance in secure communications, entropy generation, and photonic applications. However, existing studies often rely on low-resolution parameter sweeps or include noise contributions that obscure the intrinsic nonlinear dynamics. To address this gap, we investigate a noise-free OIL model and construct high-resolution chaos maps across the injection strength and frequency detuning parameter space. Chaos is characterized using two complementary approaches for computing the largest Lyapunov exponent: the Rosenstein time-series method and the exact variational method. This dual approach provides reliable and reproducible detection of deterministic chaotic regimes and reveals a rich attractor landscape with alternating bands of periodicity, quasi-periodicity, and chaos. The novelty of this work lies in combining high-resolution mapping with rigorous chaos indicators, enabling fine-grained identification of dynamical transitions. The results not only deepen the fundamental understanding of nonlinear laser dynamics but also provide actionable guidelines for exploiting or avoiding chaos in photonic devices, with potential applications in random chaos-based communications, number generation, and optical security systems.
- 4 September 2025
- Published by MDPI AG in Applied Sciences
- Vol. 15 (17) , 9724
Open AccessHigh-Resolution Chaos Maps for Optically Injected Lasers
Deterministic chaos in optically injected semiconductor lasers (OILs) has attracted significant attention due to its relevance in secure communications, entropy generation, and photonic applications. However, existing studies often rely on low-resolution parameter sweeps or include noise contributions that obscure the intrinsic nonlinear dynamics. To address this gap, we investigate a noise-free OIL model and construct high-resolution chaos maps across the injection strength and frequency detuning parameter space. Chaos is characterized using two complementary approaches for computing the largest Lyapunov exponent: the Rosenstein time-series method and the exact variational method. This dual approach provides reliable and reproducible detection of deterministic chaotic regimes and reveals a rich attractor landscape with alternating bands of periodicity, quasi-periodicity, and chaos. The novelty of this work lies in combining high-resolution mapping with rigorous chaos indicators, enabling fine-grained identification of dynamical transitions. The results not only deepen the fundamental understanding of nonlinear laser dynamics but also provide actionable guidelines for exploiting or avoiding chaos in photonic devices, with potential applications in random chaos-based communications, number generation, and optical security systems.
- Open Access
- 9 January 2025
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Access
- Vol. 13, 13748-13769
Enhancing Indoor mmWave Communication With ML-Based Propagation Models
With the advancement of 5G and emerging wireless communication technologies, accurate modeling of wave propagation in indoor environments has become increasingly crucial. This study focuses on demonstrating how machine learning (ML) techniques can be applied to predict path loss within the millimeter wave (mmWave) spectrum in a specific indoor environment. We address high-frequency challenges like path loss and complex building layouts that impact signal propagation. We employ various ML models, including Artificial Neural Networks (ANNs), hybrid models integrating linear regression, ANNs, and Gaussian Processes, and Extreme Gradient Boosting (XGBoost), to predict and analyze the propagation loss in a controlled indoor setting. The models were trained and validated using data collected from a comprehensive measurement campaign at 28 GHz, which involved high precision radio equipment in a complex indoor environment. Our results demonstrate that while traditional models provide a baseline for understanding path loss, advanced ML models, particularly hybrid approaches, significantly enhance prediction accuracy and provide a deeper understanding of indoor propagation dynamics within this specific environment. The study highlights the potential of ML in overcoming the limitations of empirical models and showcases methodologies that can be adapted for similar indoor scenarios. This research advances our understanding of mmWave propagation indoors and sets a framework for utilizing ML in telecommunication system design and optimization in specific environments.
- 9 January 2025
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Access
- Vol. 13, 13748-13769
Open AccessEnhancing Indoor mmWave Communication With ML-Based Propagation Models
With the advancement of 5G and emerging wireless communication technologies, accurate modeling of wave propagation in indoor environments has become increasingly crucial. This study focuses on demonstrating how machine learning (ML) techniques can be applied to predict path loss within the millimeter wave (mmWave) spectrum in a specific indoor environment. We address high-frequency challenges like path loss and complex building layouts that impact signal propagation. We employ various ML models, including Artificial Neural Networks (ANNs), hybrid models integrating linear regression, ANNs, and Gaussian Processes, and Extreme Gradient Boosting (XGBoost), to predict and analyze the propagation loss in a controlled indoor setting. The models were trained and validated using data collected from a comprehensive measurement campaign at 28 GHz, which involved high precision radio equipment in a complex indoor environment. Our results demonstrate that while traditional models provide a baseline for understanding path loss, advanced ML models, particularly hybrid approaches, significantly enhance prediction accuracy and provide a deeper understanding of indoor propagation dynamics within this specific environment. The study highlights the potential of ML in overcoming the limitations of empirical models and showcases methodologies that can be adapted for similar indoor scenarios. This research advances our understanding of mmWave propagation indoors and sets a framework for utilizing ML in telecommunication system design and optimization in specific environments.
- Open Access
- 18 July 2024
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Access
- Vol. 12, 99422-99438
Comparative Analysis of Metaheuristics for Solving the Optimal Power Flow With Renewable Sources and Valve-Point Constraints
The Optimal Power Flow (OPF) problem, used to obtain efficient operation conditions with the lowest cost or the minimum power loss in electrical power systems, is a non-polynomial problem that becomes even harder to analyze when considering renewable energy sources (RES) with uncertain behavior. Therefore, establishing a manageable number of RES scenarios in the modeling is essential for optimizing cost-effective solutions, including those with constraints such as the valve-point effect and prohibited operational zones. This work compares three differential evolution algorithm (DEA) variants and four well-known metaheuristics: the Particle Swarm Optimization (PSO), the Bio-geographical Based Optimization (BBO), the Artificial Bee Colony Optimization (ABC), and the Non-dominated Sorting Genetic Algorithm II (NSGA-II). The metaheuristics are compared: 1) to determine the one with the best performance considering RES; 2) to establish an approach to minimize and find the best set of scenarios representing variable RES; 3) to compare the success rate of convergence of the penalized function against the real objective function. Results show that BBO and PSO optimization are the best choices for solving the classic objective function of OPF. On the other hand, the DE/best/1 (DEAB) algorithm demonstrates the best performance when the valve-point effect with prohibited zones is considered. DEAB presents the largest weighted cumulative rating (WCR) and the second-best weighted cumulative successful rate (WCSR) for all the evaluated criteria.
- 18 July 2024
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Access
- Vol. 12, 99422-99438
Open AccessComparative Analysis of Metaheuristics for Solving the Optimal Power Flow With Renewable Sources and Valve-Point Constraints
The Optimal Power Flow (OPF) problem, used to obtain efficient operation conditions with the lowest cost or the minimum power loss in electrical power systems, is a non-polynomial problem that becomes even harder to analyze when considering renewable energy sources (RES) with uncertain behavior. Therefore, establishing a manageable number of RES scenarios in the modeling is essential for optimizing cost-effective solutions, including those with constraints such as the valve-point effect and prohibited operational zones. This work compares three differential evolution algorithm (DEA) variants and four well-known metaheuristics: the Particle Swarm Optimization (PSO), the Bio-geographical Based Optimization (BBO), the Artificial Bee Colony Optimization (ABC), and the Non-dominated Sorting Genetic Algorithm II (NSGA-II). The metaheuristics are compared: 1) to determine the one with the best performance considering RES; 2) to establish an approach to minimize and find the best set of scenarios representing variable RES; 3) to compare the success rate of convergence of the penalized function against the real objective function. Results show that BBO and PSO optimization are the best choices for solving the classic objective function of OPF. On the other hand, the DE/best/1 (DEAB) algorithm demonstrates the best performance when the valve-point effect with prohibited zones is considered. DEAB presents the largest weighted cumulative rating (WCR) and the second-best weighted cumulative successful rate (WCSR) for all the evaluated criteria.
- Open Access
- 29 April 2024
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Access
- Vol. 12, 62279-62295
Exploratory Data Analysis for Path Loss Measurements: Unveiling Patterns and Insights Before Machine Learning
This paper presents an in-depth investigation into path loss modeling for wireless communication systems, emphasizing the critical role of Exploratory Data Analysis (EDA) and accurate field data collection. It reveals the enhanced efficacy of theoretical models when synergized with specific, real-world data, highlighting the necessity for empirical grounding. Central to our research is the demonstration of the indispensability of thorough EDA in path loss modeling. This phase uncovers key trends and anomalies, setting a solid foundation for subsequent Machine Learning (ML)-based predictive modeling. Deep dataset insights allow for the effective tuning of algorithms to reflect the complexities of signal propagation environments accurately. The study further underscores the impact of the quality of field data collection on model accuracy. Meticulous data gathering that accurately mirrors environmental conditions is essential, providing insights into signal behavior and validating theoretical models. Our research also explores the importance of spatial pattern analysis in understanding path loss. Advanced visualization and clustering methods are employed to illustrate how spatial variability significantly influences path loss, shedding light on the effects of environmental factors like obstructions and topography on signal propagation.
- 29 April 2024
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Access
- Vol. 12, 62279-62295
Open AccessExploratory Data Analysis for Path Loss Measurements: Unveiling Patterns and Insights Before Machine Learning
This paper presents an in-depth investigation into path loss modeling for wireless communication systems, emphasizing the critical role of Exploratory Data Analysis (EDA) and accurate field data collection. It reveals the enhanced efficacy of theoretical models when synergized with specific, real-world data, highlighting the necessity for empirical grounding. Central to our research is the demonstration of the indispensability of thorough EDA in path loss modeling. This phase uncovers key trends and anomalies, setting a solid foundation for subsequent Machine Learning (ML)-based predictive modeling. Deep dataset insights allow for the effective tuning of algorithms to reflect the complexities of signal propagation environments accurately. The study further underscores the impact of the quality of field data collection on model accuracy. Meticulous data gathering that accurately mirrors environmental conditions is essential, providing insights into signal behavior and validating theoretical models. Our research also explores the importance of spatial pattern analysis in understanding path loss. Advanced visualization and clustering methods are employed to illustrate how spatial variability significantly influences path loss, shedding light on the effects of environmental factors like obstructions and topography on signal propagation.