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Determine if a function is odd, even or neither
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Fourier series Week 2 Part 1: Even and odd functions
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Fourier series of an odd real function - clearly explained This video explains the Fourier series of an odd real function and proves the key symmetry properties of its Fourier coefficients. Step by step, we show that if a periodic signal 𝑥(𝑡) is real and odd, then its complex Fourier series coefficients 𝐶_𝑘 must be: 1) Purely imaginary 2) Odd in k {𝐶_(-𝑘) = -𝐶_𝑘} 3) With the DC coefficient given by c_0 = 0 The proof is developed carefully to show how signal symmetry directly determines c
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