GATE Instrumentation Engineering Practice Quiz

Question 1

A continuous-time signal is given by x(t)=3cos(200\pi t+\pi/6). What are its fundamental frequency and period, respectively?

Accepted Answer

100 Hz and 0.01 s

Question 2

For the discrete-time signal x[n]=cos(\u03c0n/4), what is its fundamental period?

Accepted Answer

8

Question 3

The z-transform of the right-sided sequence x[n]=a^n u[n], with |z|>|a|, is

Accepted Answer

z/(z-a)

Question 4

A continuous-time LTI system has impulse response h(t)=u(t+1)-u(t-1). Which statement is correct?

Accepted Answer

The system is non-causal but stable

Question 5

The energy of the signal x(t)=e^{-at}u(t), where a>0, is

Accepted Answer

1/(2a)