EC > GATE 2026 > Fourier Series
The continuous time signal x(t) is real, periodic with period T and satisfies the Dirichlet conditions.
The Fourier series representation of x(t) = Σ-∞∞ anej(2πnt/T) and x(t) satisfies the following: x(t − T/2) = −x(t).
For any integer m, which of the following options is correct?
A
a2m = 0
B
a2m = 1
C
a2m = a2m+1
D
a2m = -1

Correct :

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EC GATE 2026 Fourier series EC periodic signal EC real periodic signal GATE electrical EC Fourier series signal periodicity EC GATE 2026 EC alternating current EC

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