FOURIER TRANSFORM | DETAILED QUESTION SOLVING | GAUSSIAN, RECTANGULAR PULSE AND DIRAC DELTA FUNCTION

Описание: 🔥 Fourier Transform Like Never Before – Full Problem Solving Breakdown!
Welcome to a deep dive into the world of Fourier Transforms, where we break down some of the most important and exam-worthy problems step by step! 🎯 In this video, we solve detailed questions on the Gaussian Function, the Rectangular Pulse, and the Dirac Delta Function using the power of Fourier Transforms. 🧠⚡
Whether you're prepping for an exam, struggling with signals & systems, or just trying to finally get what the Fourier Transform is doing, this one's for YOU! 📚💪
🧠 What You'll Learn:
How to apply the Fourier Transform to the Gaussian Function 📉
Solving the Rectangular Pulse transform with full working 🟦
Intuitively understanding the Dirac Delta Function and its transform 🌀
Visual explanation + clear derivation = no confusion, just clarity! ✍️💡
🎯 Perfect For:
Electrical Engineering & Applied Math students
Anyone studying Signals and Systems or Fourier Analysis
Viewers of books like Burden & Faires, Lathi, or Oppenheim & Willsky
0:00 Intro – Let’s Break It All Down! 🧩
06:37 One-Sided Exponential Function
13:09 Dirac Delta Function – The Impulse King 🔊
20:33 FOURIER TRANSFORM of Dirac Delta Function
24:17 Gaussian Function – Beauty Meets Math 📊
30:01 FOURIER TRANSFORM of Gaussian Function
29:50 FOURIER TRANSFORM of Gaussian Function
36:55 Rectangular Pulse Function – Beauty Meets Math 📊
38:48 FOURIER TRANSFORM OF RECTANGULAR PULSE FUNCTION
44:00 Concept Wrap-Up – The Takeaways 🎁
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