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feat(latex): add new book reference for discrete-time signal processing

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and clarify mathematical definition with citation
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Rifqi D. Panuluh
2025-10-13 16:25:37 +00:00
parent 719ae8e297
commit 39e4dc67bf
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14
latex/bibliography.bib
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@@ -827,6 +827,20 @@
file = {C\:\\Users\\damar\\Zotero\\storage\\6XITVIKY\\toh2020.pdf.pdf;C\:\\Users\\damar\\Zotero\\storage\\9L9KXB7V\\Toh and Park - 2020 - Review of Vibration-Based Structural Health Monito.pdf} file = {C\:\\Users\\damar\\Zotero\\storage\\6XITVIKY\\toh2020.pdf.pdf;C\:\\Users\\damar\\Zotero\\storage\\9L9KXB7V\\Toh and Park - 2020 - Review of Vibration-Based Structural Health Monito.pdf}
} }
@book{oppenheim2010,
title = {Discrete-Time Signal Processing},
editor = {Oppenheim, Alan V. and Schafer, Ronald W.},
date = {2010},
series = {Prentice {{Hall}} Signal Processing Series},
edition = {3. ed},
publisher = {Pearson},
location = {Upper Saddle River Munich},
isbn = {978-0-13-198842-2},
langid = {english},
pagetotal = {1108}
}
@article{vos2022, @article{vos2022,
title = {Vibration-Based Anomaly Detection Using {{LSTM}}/{{SVM}} Approaches}, title = {Vibration-Based Anomaly Detection Using {{LSTM}}/{{SVM}} Approaches},
author = {Vos, Kilian and Peng, Zhongxiao and Jenkins, Christopher and Shahriar, Md Rifat and Borghesani, Pietro and Wang, Wenyi}, author = {Vos, Kilian and Peng, Zhongxiao and Jenkins, Christopher and Shahriar, Md Rifat and Borghesani, Pietro and Wang, Wenyi},

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latex/chapters/id/02_literature_review/theoritical_foundation/stft.tex
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Short-Time Fourier Transform (STFT) adalah teknik fundamental untuk menganalisis sinyal non-stasioner dengan menyediakan representasi waktu-frekuensi yang simultan. Berbeda dengan transformasi Fourier konvensional yang hanya memberikan informasi domain frekuensi global, STFT menerapkan transformasi Fourier pada segmen-segmen sinyal pendek yang bertumpang tindih. Short-Time Fourier Transform (STFT) adalah teknik fundamental untuk menganalisis sinyal non-stasioner dengan menyediakan representasi waktu-frekuensi yang simultan. Berbeda dengan transformasi Fourier konvensional yang hanya memberikan informasi domain frekuensi global, STFT menerapkan transformasi Fourier pada segmen-segmen sinyal pendek yang bertumpang tindih.
Secara matematis, STFT dari sinyal diskrit $x[n]$ didefinisikan sebagai: Secara matematis, STFT dari sinyal diskrit $x[n]$ didefinisikan \textcite{oppenheim2010} sebagai:
\begin{equation} \begin{equation}
X(m, \omega) = \sum_{n=-\infty}^{\infty} x[n] \cdot w[n - m] \cdot e^{-j \omega n} X(m, \omega) = \sum_{n=-\infty}^{\infty} x[n] \cdot w[n - m] \cdot e^{-j \omega n}
\end{equation} \end{equation}