engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Fourier Series Forms of Fourier Series
The exponential Fourier series co-efficient ak for the given signal is
1
\(\frac{1}{{j\pi k}}\;\left[ {\cos \left( {\frac{{2\pi }}{3}k} \right) + \cos \left( {\frac{\pi }{3}k} \right)} \right]\)
2
\(\frac{1}{{j\pi k}}\left[ {\cos \left( {\frac{{2\pi }}{3}k} \right) - \cos \left( {\frac{\pi }{3}k} \right)} \right]\)
3
\(\frac{1}{{j\pi k}}\;\left[ {\cos \left( {\frac{\pi }{3}k} \right) - \cos \left( {\frac{{2\pi }}{3}k} \right)} \right]\)
4
\(- \frac{1}{{j\pi k}}\left[ {\cos \left( {\frac{{2\pi }}{3}k} \right) + \cos \left( {\frac{\pi }{3}k} \right)} \right]\)