Replying to @Mark Valencia CalTech FOURIER TRANSFORM #calculusbhie #calculusb #fyp #foryou #fourier #fouriertransform #boardexam #engineeringmaths #boardexam

Fourier aplicado a Robótica #robotics #engineering #fourier #math #electronics

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

Understanding Fourier Series in Mathematics and Applications