engineering recuitment GATE EE 2023-24 Test Series Signals and Systems Discrete Time Fourier Transform (DTFT) Properties of DTFT
The DTFT of a signal is represented as:
\(x\left( n \right) \overset{DTFT}{\longleftrightarrow} X\left( {{e^{j\omega }}} \right)\).
A signal discrete-time signal x(n), is defined as:
\(x\left( n \right) = \left\{ {\begin{array}{*{20}{c}} {2,\; - j,\;0,\;j,\; - 2}\\ {\; \uparrow } \end{array}} \right\}\)
Which of the following statements is/are TRUE for X(ejω)?
1
Periodic
2
Real
3
Conjugate symmetric
4
Complex