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Fourier series of an even real function - clearly explained
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Fourier series of an even real function - clearly explained
Determine the Type of Filter- Solve for H(w)
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Determine the Type of Filter- Solve for H(w)
Symmetry properties in orthogonal functions - clearly explained
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Symmetry properties in orthogonal functions - clearly explained
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Determine the Type of Filter- Solve for H(w) Follow me on: YouTube: www.youtube.com/@ProfessorGovalla TikTok: www.tiktok.c...
High-Pass Filter - Solve for H(w) Follow me on: YouTube: www.youtube.com/@ProfessorGovalla TikTok: www.tiktok.com/@profess...
Summing Op-Amp - Solve for Vout Op-Amp video: https://youtu.be/IEzq1-rZwtI?si=vAg4a20a2lI4pwNi Follow me on: YouTube: www....
Low-Pass Filter - Solve for H(w) Follow me on: YouTube: www.youtube.com/@ProfessorGovalla TikTok: www.tiktok.com/@professo...
Superposition - Solve for Vout Follow me on: YouTube: www.youtube.com/@ProfessorGovalla TikTok: www.tiktok.com/@professorg...
Differentiator Op Amp - Solve for Vout Follow me on: YouTube: www.youtube.com/@ProfessorGovalla TikTok: www.tiktok.com/@pr...
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Fourier series of an even real function - clearly explained This video explains the Fourier series of an even real function and proves the important symmetry properties of its Fourier coefficients. Step by step, we show that if a periodic signal 𝑥(𝑡) is real and even, then its complex Fourier series coefficients 𝐶_𝑘 must be: 1) Real-valued 2) Even in k (𝐶_(-𝑘) = 𝐶_𝑘) 3) With the DC coefficient given by c_0 = (1/T) ∫_0^T x(t) dt The mathematical reasoning behind these properties is clearly derived, making it easier to simplify Fourier analysis problems involving symmetric signals. This result is fundamental for understanding signal symmetry, orthogonality, and coefficient behavior in Fourier series. Perfect for students studying signals and systems, Fourier analysis, orthogonal functions, and electrical engineering mathematics. Check out my other videos: https://www.youtube.com/watch?v=LlGEcpun4Q8 Check out my full playlist on Analog Electronics: https://www.youtube.com/watch?v=IEzq1-rZwtI&list=PLBbMkHgmCUDNGZ0V0JPmTRrdMIGOBXLL_&index=14 Follow me on: YouTube: https://www.youtube.com/@ProfessorGovalla Instagram: www.instagram.com/professorgovalla TikTok: www.tiktok.com/@professorgovalla
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Determine the Type of Filter- Solve for H(w) Follow me on: YouTube: www.youtube.com/@ProfessorGovalla TikTok: www.tiktok.com/@professorgovalla Instagram: www.instagram.com/professorgovalla
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Symmetry properties in orthogonal functions - clearly explained This video explains the symmetry properties of orthogonal functions, two fundamental proofs that play a critical role in Fourier series and Fourier analysis. Step by step, we show why the integral of an even function multiplied by an odd function over a symmetric period is always zero, and why the integral of even–even or odd–odd function products over a period are non-zero. These symmetry results are essential for simplifying Fourier coefficient calculations and understanding orthogonality in signals and systems. The proofs are presented clearly and mathematically so you can see exactly why these properties hold. Perfect for students studying Fourier series, orthogonal functions, signal processing, and mathematical foundations of electrical engineering. Check out my other videos: https://www.youtube.com/watch?v=4x8oqdneG9Y Check out my full playlist on Analog Electronics: https://www.youtube.com/watch?v=IEzq1-rZwtI&list=PLBbMkHgmCUDNGZ0V0JPmTRrdMIGOBXLL_&index=14 Follow me on: YouTube: https://www.youtube.com/@ProfessorGovalla Instagram: www.instagram.com/professorgovalla TikTok: www.tiktok.com/@professorgovalla
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High-Pass Filter - Solve for H(w) Follow me on: YouTube: www.youtube.com/@ProfessorGovalla TikTok: www.tiktok.com/@professorgovalla Instagram: www.instagram.com/professorgovalla
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