Continuous Time Fourier Series and Gibbs Phenomenon | Signals and Systems | NerdyBug | 2024

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In this video, we dive into the Exponential Fourier Series and explore the intricate world of Fourier series representation for continuous-time signals. We also examine the convergence of Fourier series and the fascinating Gibbs Phenomenon. Additionally, we answer the crucial question: why do we need to represent a signal using the Fourier Series? To solidify your understanding, we walk through example problems. This is an essential watch for anyone studying signals and systems.

🔥Full series:    • Signals and Systems  
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📅 Chapters:
00:00:00 Introduction
00:00:40 Orthogonality of Exponential Signal Set
00:06:46 Exponential Fourier Series
00:15:11 Example Problem
00:19:43 Representing of Complex Functions
00:21:44 Alternative Forms of Fourier Series
00:29:33 Finding Fourier Series Coefficients
00:39:16 Example Problems
00:54:36 Convergence of Fourier Series
01:00:30 Dirichlet Conditions
01:13:35 Gibbs Phenomenon
01:19:06 Application of CTFS in Analysing LTI Systems
01:28:26 Example Problem

📚 Recommended Reading:
For more in-depth study, refer to the standard textbook:
"Signals and Systems" by Alan V. Oppenheim and Alan S. Willsky.
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