GATE EC 2016 Set 1 — Question 45

NAT+2 / -0MediumDTFT & PropertiesDiscrete-Time SignalsSignals & Systems

Signals & Systems → Discrete-Time Signals → DTFT & Properties

Last updated 5 September 2026

Question

x[n] = 6 \delta[n + 2] + 3\delta[n + 1] + 8\delta[n] + 7\delta[n - 1] + 4\delta[n - 2] .

x[n] = \frac{1}{2\pi} \int_{-\pi}^{\pi} X(e^{j\omega}) e^{j\omega n} d\omega

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x[n] = \frac{1}{2\pi} \int_{-\pi}^{\pi} X(e^{j\omega}) e^{j\omega n} d\omega

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