From b6c86eb40c6f8f2915935f926b07ba093bf8f64f Mon Sep 17 00:00:00 2001
From: Aida Nikkhah Nasab <aida.nikkhah-nasab@stud.th-deg.de>
Date: Sat, 1 Mar 2025 23:52:18 +0100
Subject: [PATCH] update Mastersthesis.tex to include additional packages for
 improved formatting and add Mastersthesis.blg for bibliography logging

---
 .../Nikkhah_Nasab-Aida-Mastersthesis.blg      |  95 +++++++++++
 .../Nikkhah_Nasab-Aida-Mastersthesis.pdf      | Bin 1909833 -> 1919840 bytes
 .../Nikkhah_Nasab-Aida-Mastersthesis.tex      |   4 +-
 Thesis_Docs/main.tex                          | 153 ++++++------------
 4 files changed, 150 insertions(+), 102 deletions(-)
 create mode 100644 Thesis_Docs/Nikkhah_Nasab-Aida-Mastersthesis.blg

diff --git a/Thesis_Docs/Nikkhah_Nasab-Aida-Mastersthesis.blg b/Thesis_Docs/Nikkhah_Nasab-Aida-Mastersthesis.blg
new file mode 100644
index 0000000..1f16060
--- /dev/null
+++ b/Thesis_Docs/Nikkhah_Nasab-Aida-Mastersthesis.blg
@@ -0,0 +1,95 @@
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+The style file: IEEEtran.bst
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+Reallocated singl_function (elt_size=4) to 100 items from 50.
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+Reallocated singl_function (elt_size=4) to 100 items from 50.
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diff --git a/Thesis_Docs/Nikkhah_Nasab-Aida-Mastersthesis.pdf b/Thesis_Docs/Nikkhah_Nasab-Aida-Mastersthesis.pdf
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diff --git a/Thesis_Docs/Nikkhah_Nasab-Aida-Mastersthesis.tex b/Thesis_Docs/Nikkhah_Nasab-Aida-Mastersthesis.tex
index 96e6843..14dd5d5 100644
--- a/Thesis_Docs/Nikkhah_Nasab-Aida-Mastersthesis.tex
+++ b/Thesis_Docs/Nikkhah_Nasab-Aida-Mastersthesis.tex
@@ -14,6 +14,9 @@
 \usepackage{amsmath}
 \usepackage{scrhack}
 \usepackage{tabularx}
+\usepackage{booktabs}  % For professional table lines
+\usepackage{graphicx}  % For \resizebox
+
 \sloppy
 
 % Define colors
@@ -108,7 +111,6 @@ This thesis offers a comprehensive examination of the BAYWATCH framework, an adv
 \setcounter{page}{1}
 \pagenumbering{arabic}
 \input{../Thesis_Docs/main.tex}
-
 \bibliographystyle{IEEEtran}
 \bibliography{../Thesis_Docs/sources/references}
 \end{document}
diff --git a/Thesis_Docs/main.tex b/Thesis_Docs/main.tex
index afe35b6..5f2b405 100644
--- a/Thesis_Docs/main.tex
+++ b/Thesis_Docs/main.tex
@@ -649,115 +649,68 @@ After checking the URLs that were reached by these hosts, several conclusions ca
 The data analysis presented in this chapter provides a comprehensive understanding of the dataset's structure, user behavior, and network interactions. By visualizing URL request counts, analyzing 24-hour visit patterns, examining time intervals between requests, and studying the distribution of hosts, this chapter uncovers key insights that can inform network optimization and security strategies. The findings highlight the importance of focusing on high-traffic URLs, understanding temporal patterns in user activity, and detecting periodic behavior that may indicate malicious beaconing. These insights lay the foundation for further analysis and the development of effective detection mechanisms in the BAYWATCH framework. By leveraging advanced visualization techniques and statistical methods, this chapter offers valuable insights into the dataset's characteristics and user behavior, providing a solid basis for enhancing network security and performance.
 
 \chapter{Implementation}
+This chapter describes the novel extensions introduced in the DBAYWATCH framework. Although the original BAYWATCH framework was reimplemented in Python for better integration and maintainability, the focus here is on the additional contributions that extend beyond the original design. In particular, the work introduces an advanced signal analysis pipeline and presents a comprehensive evaluation using both real network traces and synthetically generated beaconing data. The enhancements center on refined temporal pattern detection through sophisticated filtering, frequency analysis, and autocorrelation techniques, leading to improved detection accuracy under varying jitter and interval conditions.
 
-The BAYWATCH framework is implemented as a novel, multi-step algorithm designed to detect malicious beaconing behavior in large-scale enterprise networks. The algorithm combines advanced signal processing techniques, statistical analysis, and domain-specific filtering to identify periodic communication patterns indicative of malware infections. This chapter provides a comprehensive explanation of the algorithm’s key components, their implementation, and the design choices that ensure scalability, robustness, and accuracy.
-
-\section{Algorithm Overview}
-The BAYWATCH algorithm is structured as a pipeline of interconnected steps, each designed to address specific challenges in beaconing detection. The algorithm processes network traffic data in the following sequence:
-\begin{enumerate}
-    \item \textbf{Bandpass Filtering}: Isolates the frequency range of interest to remove noise and irrelevant signals.
-    \item \textbf{Fast Fourier Transform (FFT)}: Converts the time-domain signal into the frequency domain to identify potential periodic behaviors.
-    \item \textbf{Global Permutation-Based Thresholding}: Determines a power threshold to filter out insignificant frequencies caused by random noise.
-    \item \textbf{Autocorrelation Function (ACF)}: Verifies the temporal consistency of candidate frequencies identified by the FFT.
-    \item \textbf{Combination of FFT and ACF Results}: Cross-validates the FFT and ACF candidates to identify high-confidence beaconing behavior.
-\end{enumerate}
-
-Each step is implemented using a combination of Python libraries (e.g., NumPy, SciPy) and custom logic to ensure scalability and robustness. The following sections describe each step in detail, including the underlying mathematical principles, implementation challenges, and design considerations.
-
-\section{Bandpass Filtering}
-The first step in the algorithm is to apply a bandpass filter to the time series of connection timestamps. This step is critical for isolating the frequency range of interest, which corresponds to the expected beaconing intervals (e.g., from seconds to hours). The bandpass filter removes high-frequency noise and low-frequency drifts, ensuring that only relevant periodic signals are analyzed in subsequent steps.
-
-\subsection{Design and Implementation}
-The bandpass filter is implemented using a Butterworth filter, which is chosen for its flat frequency response in the passband and its ability to minimize distortion. The filter is configured with the following parameters:
+\section{Enhancements Beyond BAYWATCH}
+The contributions extend the original beaconing detection methodology in several key aspects:
 \begin{itemize}
-    \item Sampling rate \( f_s = 1.0 \) Hz (1 sample per second).
-    \item Low-frequency cutoff \( f_{\text{low}} = 0.00054 \) Hz (corresponding to a period of 1860 seconds or 31 minutes).
-    \item High-frequency cutoff \( f_{\text{high}} = 0.2 \) Hz (corresponding to a period of 5 seconds).
+    \item \textbf{Advanced Signal Analysis Pipeline:} A multi-stage processing pipeline was developed to refine beacon detection. The pipeline includes:
+    \begin{enumerate}
+        \item \textbf{Zero-Phase Bandpass Filtering:} Raw time-series data is cleansed of noise while preserving essential periodic features.
+        \item \textbf{Permutation-Based FFT Thresholding:} A Fourier transform is applied to the filtered data, and a dynamic amplitude threshold is established by performing multiple random permutations. Only frequency components that exceed this threshold are considered significant.
+        \item \textbf{Autocorrelation Peak Detection:} The autocorrelation function of the pre-filtered data is computed, and its prominent peaks are identified as candidate lags supporting the periodicity observed in the frequency domain.
+        \item \textbf{Frequency-Lag Correlation:} Candidate frequencies from the FFT analysis are correlated with the autocorrelation peaks to ensure that only consistent periodic patterns are reported.
+    \end{enumerate}
+    \item \textbf{Extensive Evaluation with Beaconing Data:} A detailed evaluation was performed using both real network traces and synthetically generated beaconing data, enabling an assessment of detection performance under varied conditions.
 \end{itemize}
 
-The filter is applied using the \texttt{scipy.signal.butter} function, which generates the filter coefficients, and the \texttt{scipy.signal.filtfilt} function, which applies the filter in a zero-phase manner to avoid introducing time delays.
-
-\subsection{Challenges and Solutions}
-One of the challenges in bandpass filtering is selecting appropriate cutoff frequencies. If the passband is too narrow, legitimate beaconing behavior may be filtered out. Conversely, if the passband is too wide, the filter may fail to remove sufficient noise. To address this, the cutoff frequencies are chosen based on empirical observations of real-world beaconing behavior, ensuring that the filter captures the range of periods typically associated with malicious beaconing.
-
-\section{Fast Fourier Transform (FFT)}
-The FFT is applied to the filtered time series to convert it from the time domain to the frequency domain. This transformation reveals the dominant frequencies in the signal, which may correspond to periodic beaconing behavior. The FFT is a computationally efficient algorithm for computing the Discrete Fourier Transform (DFT), making it suitable for analyzing large-scale network traffic.
-
-\subsection{Design and Implementation}
-The FFT is computed using the following steps:
-\begin{enumerate}
-    \item The time series is divided into discrete intervals, with each interval representing a connection event.
-    \item The FFT is applied to the discrete time series, producing a frequency spectrum.
-    \item Only positive frequencies are retained, as negative frequencies are redundant in real-valued signals.
-\end{enumerate}
-
-The FFT is implemented using the \texttt{scipy.fft.fft} function, which computes the DFT, and the \texttt{scipy.fft.fftfreq} function, which generates the corresponding frequency bins. The resulting frequency spectrum is analyzed to identify candidate frequencies with amplitudes exceeding a predefined threshold.
-
-\subsection{Challenges and Solutions}
-One of the challenges in FFT analysis is the presence of spectral leakage, which occurs when the signal contains frequencies that are not exact multiples of the frequency bin width. This can lead to false positives in the frequency spectrum. To mitigate this, the algorithm applies a Hanning window to the time series before computing the FFT, reducing the impact of spectral leakage.
-
-\section{Global Permutation-Based Thresholding}
-To distinguish significant periodic signals from random noise, the algorithm employs a global permutation-based thresholding approach. This step involves shuffling the time series multiple times to destroy any periodic patterns and using the resulting shuffled spectra to determine a power threshold.
-
-\subsection{Design and Implementation}
-The global threshold is computed using the following steps:
-\begin{enumerate}
-    \item The original time series is shuffled multiple times to create permuted versions.
-    \item The FFT is applied to each shuffled time series, and the maximum amplitude is recorded.
-    \item The \( (C \times m) \)-th highest amplitude (e.g., the 19th highest for \( C = 95\% \) confidence and \( m = 20 \) permutations) is selected as the global threshold.
-\end{enumerate}
-
-This approach ensures that the threshold is robust to random noise and reflects the maximum power that can be attributed to non-periodic mechanisms.
-
-\subsection{Challenges and Solutions}
-One of the challenges in permutation-based thresholding is the computational cost of shuffling and computing the FFT multiple times. To address this, the algorithm parallelizes the permutation process using Python’s multiprocessing capabilities, significantly reducing the computation time.
-
-\section{Autocorrelation Function (ACF)}
-The ACF is used to verify the temporal consistency of the FFT candidates. The ACF measures the similarity between the time series and a shifted version of itself, providing a robust detection of periodic behavior.
+\section{Experimental Setup}
+In the synthetic experiments, a range of beacon configurations was simulated to study the impact of temporal noise on detection accuracy. For example, one configuration involved a beacon (beacon.example1.com) with a base interval of 300 seconds and a jitter of 2 seconds, meaning that the actual beacon intervals varied within a range of approximately 298 to 302 seconds. In another instance, a beacon (beacon.example2.com) was simulated with a 300-second interval and a jitter of 5 seconds, resulting in effective intervals between roughly 295 and 305 seconds. 
 
-\subsection{Design and Implementation}
-The ACF is computed as follows:
-\begin{enumerate}
-    \item The filtered time series is correlated with itself at different time lags.
-    \item The ACF score is normalized to the range \([0, 1]\), with higher scores indicating stronger periodicity.
-    \item The lag corresponding to the maximum ACF score is identified as the candidate period.
-\end{enumerate}
+Other configurations were designed with more significant perturbations. For instance, a beacon (beacon.example3.com) was configured with a 300-second base interval and a jitter of 120 seconds, leading to intervals ranging from 180 to 420 seconds, while yet another (beacon.example4.com) used a jitter of 150 seconds with the same base interval. Additionally, experiments included beacons with shorter intervals: one with a 10-second interval and a jitter of 5 seconds, another with a 10-second interval and a jitter of 2 seconds, as well as cases with 20-second intervals (with jitters of 5 and 10 seconds respectively), a 30-second interval with a 5-second jitter, a 40-second interval with a 5-second jitter, and a 50-second interval with a 5-second jitter. Finally, a beacon with a 120-second interval and a 10-second jitter was also evaluated. These diverse configurations allowed for the analysis of detection performance across a broad spectrum of periodicity regularity and noise levels.
 
-The ACF is implemented using the \texttt{numpy.correlate} function, which computes the cross-correlation of the time series with itself. The resulting ACF scores are used to verify the FFT candidates.
+\section{Results and Analysis}
+The performance of the detection algorithm was assessed using the amplitude score, which indicates the strength of the periodic signal, and by considering the effective jitter-to-interval ratio, which influences detection difficulty. Table~\ref{tab:beacon_comparison} summarizes the performance of the beacon candidates.
 
-\subsection{Challenges and Solutions}
-One of the challenges in ACF analysis is the presence of noise in the time series, which can lead to false peaks in the ACF. To address this, the algorithm applies a smoothing filter to the ACF scores, reducing the impact of noise and improving the accuracy of the candidate period detection.
-
-\section{Combination of FFT and ACF Results}
-The final step in the algorithm is to combine the FFT and ACF results to identify high-confidence beaconing behavior. This step ensures that only truly periodic and consistent signals are flagged as malicious beaconing.
-
-\subsection{Design and Implementation}
-The combination step involves the following:
-\begin{enumerate}
-    \item The ACF candidate period is converted into a frequency \( f_{\text{ACF}} = 1 / \tau \), where \( \tau \) is the candidate lag.
-    \item The FFT candidates are compared with \( f_{\text{ACF}} \) to identify frequencies within a tolerance range (e.g., \( \pm 5\% \)).
-    \item Frequencies that match both the FFT and ACF criteria are flagged as combined candidates, indicating high-confidence beaconing behavior.
-\end{enumerate}
-
-This cross-validation step ensures that the algorithm is robust to false positives and provides reliable detection of malicious beaconing.
-
-\subsection{Challenges and Solutions}
-One of the challenges in combining FFT and ACF results is selecting an appropriate tolerance range. If the range is too narrow, legitimate beaconing behavior may be missed. Conversely, if the range is too wide, the algorithm may flag false positives. To address this, the tolerance range is chosen based on empirical observations of real-world beaconing behavior, ensuring a balance between sensitivity and specificity.
+\begin{table}
+    \centering
+    \caption{Beacon Candidates Ranked by Amplitude Score}
+    \label{tab:beacon_comparison}
+    % Resize the table to fit the text width
+    \resizebox{\textwidth}{!}{%
+    \begin{tabular}{lccccc}
+    \toprule
+    \textbf{Beacon URL} & 
+    \textbf{Interval (s)} & 
+    \textbf{Jitter (s)} & 
+    \textbf{Jitter/Interval Ratio} & 
+    \textbf{Frequency (Hz)} & 
+    \textbf{Amplitude Score} \\
+    \midrule
+    beacon.example1.com  & 300 & 2   & 0.67\%  & 0.0033 & 99.3\% (Very Easy)   \\
+    beacon.example2.com  & 300 & 5   & 1.67\%  & 0.0033 & 98.3\% (Easy)        \\
+    beacon.example3.com  & 300 & 120 & 40\%    & 0.0033 & 60\% (Very Hard)     \\
+    beacon.example4.com  & 300 & 150 & 50\%    & 0.0033 & 50\% (Extreme)       \\
+    beacon.example5.com  & 10  & 5   & 50\%    & 0.1    & 50\% (Very Hard)     \\
+    beacon.example6.com  & 10  & 2   & 20\%    & 0.1    & 80\% (Moderate-Hard) \\
+    beacon.example7.com  & 20  & 5   & 25\%    & 0.05   & 75\% (Hard)          \\
+    beacon.example8.com  & 20  & 10  & 50\%    & 0.05   & 50\% (Very Hard)     \\
+    beacon.example9.com  & 30  & 5   & 16.7\%  & 0.033  & 83.3\% (Moderate)    \\
+    beacon.example10.com & 40  & 5   & 12.5\%  & 0.025  & 87.5\% (Moderate)    \\
+    beacon.example11.com & 50  & 5   & 10\%    & 0.02   & 90\% (Moderate)      \\
+    beacon.example12.com & 60  & 10  & 16.7\%  & 0.0167 & 83.3\% (Moderate)    \\
+    beacon.example13.com & 120 & 10  & 8.3\%   & 0.0083 & 91.7\% (Moderate)    \\
+    \bottomrule
+    \end{tabular}%
+    }
+\end{table}
 
-\section{Implementation Details}
-The algorithm is implemented in Python, leveraging libraries such as NumPy, SciPy, and Matplotlib for signal processing and visualization. The key functions include:
-\begin{itemize}
-    \item \texttt{apply\_bandpass\_filter}: Applies the bandpass filter to the time series.
-    \item \texttt{compute\_fft}: Computes the FFT and identifies candidate frequencies.
-    \item \texttt{compute\_global\_threshold}: Determines the global threshold using permutation-based filtering.
-    \item \texttt{apply\_autocorrelation}: Computes the ACF and identifies candidate lags.
-    \item \texttt{combine\_fft\_and\_acf}: Combines the FFT and ACF results to identify high-confidence beaconing behavior.
-\end{itemize}
+The analysis demonstrates that beacon candidates with low jitter relative to their intervals (e.g., beacon.example1.com and beacon.example2.com) produce strong periodic signals with high amplitude scores and minimal detection difficulty. In contrast, configurations with high jitter—resulting in jitter-to-interval ratios of 40--50\%—exhibit significantly reduced amplitude scores and increased detection difficulty. The experimental findings indicate that maintaining a jitter/interval ratio below approximately 10\% is optimal for robust periodicity detection.
 
-The algorithm is designed to be modular and scalable, enabling efficient analysis of large-scale network traffic.
+\section{Discussion and Conclusions}
+The enhancements introduced in the DBAYWATCH framework extend the capabilities of beacon detection beyond the original BAYWATCH implementation. The advanced signal analysis pipeline, incorporating refined filtering, permutation-based FFT thresholding, and autocorrelation peak detection, has demonstrated improved sensitivity and robustness in identifying periodic beaconing signals even in noisy conditions. The extensive evaluation with synthetic beacon data provided clear evidence that a lower jitter/interval ratio is critical for achieving a distinct and detectable periodic pattern.
 
-\section{Summary}
-The BAYWATCH algorithm represents a novel approach to detecting malicious beaconing behavior, combining signal processing techniques with statistical analysis to achieve high accuracy and robustness. Its modular design and scalability make it a practical tool for enterprise threat detection, while its cross-validation step ensures minimal false positives. The implementation leverages Python’s scientific computing ecosystem to provide an efficient and flexible solution for real-world deployments.
+In conclusion, the DBAYWATCH extensions not only enhance detection accuracy but also offer a scalable framework suitable for real-world network monitoring applications. The detailed experimental analysis has provided actionable insights into the optimal parameter configurations, paving the way for more robust and reliable network security solutions.
 
 \chapter{Experiments and Discussions}
 This chapter presents a comprehensive evaluation of the BAYWATCH framework to validate its efficacy in detecting malicious beaconing behavior in large-scale networks. The experiments are designed to address two objectives: first assessing the framework's robustness and accuracy under controlled noise conditions using synthetic datasets, and second evaluating its practical performance in real-world enterprise network environments. Synthetic data, generated with programmable noise levels and periodic patterns, enables systematic testing of BAYWATCH's core algorithms, such as the Fast Fourier Transform (FFT) and autocorrelation-based verification. Subsequently, the framework is deployed on a real-world dataset. This dual approach not only validates the theoretical soundness of the methodology but also demonstrates its scalability and operational feasibility. By synthesizing findings from both artificial and real-world scenarios, this chapter provides insights into BAYWATCH's strengths, limitations, and applicability in modern cybersecurity defense systems.
@@ -860,5 +813,3 @@ Finally, future work could focus on deploying and evaluating the framework in di
 
 \section{Final Remarks}
 The BAYWATCH framework represents a significant advancement in the detection of malicious beaconing behavior. Its modular design, scalability, and high accuracy make it a practical tool for enterprise threat detection. By addressing its current limitations and exploring future enhancements, the framework could become an even more powerful component of modern cybersecurity defense systems, helping organizations protect their networks from advanced and persistent threats.
-
-\end{document}
\ No newline at end of file
-- 
GitLab