GATE EC 2014 Set 4 — Question 27

NAT+1 / -0MediumDTFT & PropertiesDiscrete-Time SignalsSignals & Systems

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

Last updated 5 September 2026

Question

\left(\frac{2}{3}\right)^n u[n+3] \xleftrightarrow{FT} \frac{A e^{-j6\pi f}}{1 - \left(\frac{2}{3}\right) e^{-j2\pi f}}

x[n] = \left(\frac{2}{3}\right)^n u[n+3]

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x[n] = \left(\frac{2}{3}\right)^n u[n+3]

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