engineering recuitment GATE IN Test Series 2023-24 Mock Test Signals and Systems Discrete Fourier Transform (DFT) and Discrete Fourier Series (DFS) Properties of Discrete Fourier Transform
Let the impulse response of an LTI system is given as:
\(h\left( n \right) = \frac{{{e^{j\frac{\pi }{2}n}}\sin \left( {n\pi /4} \right)}}{{\left( {\pi n} \right)}}\)
The input x(n) is given as:
\(x\left( n \right) = 10 + 50\cos \left( {\pi n + \frac{\pi }{2}} \right) + 10\sin \left( {\frac{{2\pi n}}{{15}}} \right)\)
The output of the system at n = -1
Enter numerical value using the virtual keypad. Round off where necessary.