engineering recuitment GATE ECE 2023-24 Test Series Signals and Systems Discrete Time Fourier Transform (DTFT) Properties of DTFT
A particular discrete-time system has input x (n) and output y (n). The Fourier transforms of these signals are related by the equation:-
\(Y\left( {{e}^{j\omega }} \right)=2X\left( {{e}^{j\omega }} \right)+({{e}^{-j\omega }})~X\left( {{e}^{j\omega }} \right)-j\frac{dX\left( {{e}^{j\omega }} \right)}{d\omega }\)
The system is:
1
Linear and Time-Invariant
2
Nonlinear and Time-Invariant
3
Linear and Time-Variant
4
Nonlinear and Time-Variant