engineering recuitment GATE IN Test Series 2023-24 Mock Test Signals and Systems Discrete Fourier Transform (DFT) and Discrete Fourier Series (DFS) Properties of Discrete Fourier Series
Let x1(t) and x2(t) are periodic function given as follows:
x1(t)
x2(t)
\({x_1}\left( t \right) = \mathop \sum \nolimits_{k = \infty }^\infty {a_k}{e^{ - j\frac{{2\pi }}{{{T_1}}}kt}}\) and
\(\mathop \sum \nolimits_{k = \infty }^\infty \left| {{a_k}} \right| = 32\)
Then \(\mathop \sum \nolimits_{k = - \infty }^\infty \left| {{b_k}} \right| = \) _______
1
16
2
32
3
64
4
256