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enter image description hereI found the fundamental frequency, and all the harmonic components (an, bn), but is it possible to find the fundamental expression of an ,bn or cn? -The last part of the question-

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  • \$\begingroup\$ It's not clear what you're asking, you must have used an expression to get \$ a_n\$ and \$ b_n\$. Also, what's \$ c_n\$? \$\endgroup\$ – Chu Feb 13 '16 at 8:59
  • \$\begingroup\$ Cn is the complex form of the series...but the question wants the revers steps, it gives me an and bn; and i must find the expression \$\endgroup\$ – Mohammad Asmar Feb 13 '16 at 9:00
  • \$\begingroup\$ Do you mean writing the harmonics in the form \$a_n sin \:(n\:\omega t)\$? \$\endgroup\$ – Chu Feb 13 '16 at 9:03
  • \$\begingroup\$ Do you mean you want to find a mathematical expression for the signal, like f(t) = ...? \$\endgroup\$ – Bart Feb 13 '16 at 9:08
  • \$\begingroup\$ It would help if you added to your question the formula in which an, bn and cn fit in. It is unclear what these are referring to. \$\endgroup\$ – jippie Feb 13 '16 at 9:26
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For the exponential Fourier series, use the identities:

\$cos(n\omega t)= \dfrac{e^{jn\omega t}+e^{-jn\omega t}}{2}\$

\$sin(n\omega t)= \dfrac{e^{jn\omega t}-e^{-jn\omega t}}{j2}\$

with \$n=1;\:n=3;\:n=11\$, and \$\omega=\frac{4\pi}{3}\$

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