engineering recuitment GATE EE 2023-24 Test Series Signals and Systems Fourier Series Forms of Fourier Series
A periodic signal x(t) has a trigonometric Fourier series expansion
\(x\left( t \right) = {a_0} + \mathop \sum \limits_{n = 1}^\infty ({a_n}\;cos\;n\;{\omega _0}t + {b_n}\sin n\;{\omega _0}t)\)
If x(t) = -x (- t) = -x (t - π/ω0), we can conclude that
1
an are zero for all n and bn are zero for n even
2
an are zero for all n and bn are zero for n odd
3
an are zero for n even and bn are zero for n odd
4
an are zero for n odd and bn are zero for n even