engineering recuitment GATE IN Test Series 2023-24 Mock Test Signals and Systems Fourier Series Forms of Fourier Series
The Fourier series co-efficient x[k] of the signal shown in the figure is
1
\(\frac{{1 - {e^{ - 1\left( {1 + jk\pi } \right)}}}}{{2\left( {j\pi k + 1} \right)}}\)
2
\(\frac{{1 + {e^{ - 1\left( {1 + jk\pi } \right)}}}}{{2\left( {j\pi k + 1} \right)}}\)
3
\(\frac{{1 - {e^{1\left( {1 - jk\pi } \right)}}}}{{2\left( {1 - jk\pi } \right)}}\)
4
\(\frac{{1 - {e^{ - 1\left( {1 - jk\pi } \right)}}}}{{2\left( {1 - jk\pi } \right)}}\)