engineering recuitment NIELIT Scientific Assistant Mock Test 2025 Signals and Systems Discrete Time Fourier Transform (DTFT)
What is the discrete-time Fourier transform (DTFT) of the sequence given: x[n] = αnu[n], α < 1?
1
\(\frac{1}{{1 - \alpha {e^{ - j\omega }}}}\)
2
\(\frac{1}{{1 - \alpha {e^{j\omega }}}}\)
3
\(\frac{\alpha }{{1 - \alpha {e^{ - j\omega }}}}\)
4
\(\frac{\alpha }{{1 + \alpha {e^{j\omega }}}}\)