1
GATE ECE 1988
Subjective
+8
-0
The Op-Amp in the Fig below is ideal. Find the output when Vi = (1-exp($$ - \alpha t$$)) u(t). Assume the capacitor to be uncharged when the input is applied and $$ - \alpha $$ = 1/CR1. $$\left[ {u(t)\,\,is\,the\,unit\,step\,function.} \right]$$ GATE ECE 1988 Analog Circuits - Operational Amplifier Question 3 English
2
GATE ECE 1988
MCQ (Single Correct Answer)
+2
-0.6
The transfer function of a zero - order hold is
A
$${{1 - \exp \left( { - Ts} \right)} \over s}$$
B
$${{1 - \exp \left( { - Ts} \right)} \over s}$$
C
$$1$$
D
$${1 \over {\left[ {1 - \exp \left( { - Ts} \right)} \right]}}$$
3
GATE ECE 1988
MCQ (Single Correct Answer)
+2
-0.6
The message bit sequence input to a DPSK modulator is 1, 1, 0, 0, 1, 1. The carrier phase during the reception of the first two message bits is $$\pi ,\,\,\pi $$. The carrier phase for the remaining four message bits is
A
$$\pi $$, $$\pi $$, 0, $$\pi $$
B
0, 0, $$\pi $$, $$\pi $$
C
0, $$\pi $$, $$\pi $$, $$\pi $$
D
$$\pi $$, $$\pi $$, 0, 0
4
GATE ECE 1988
Subjective
+4
-0
White Gaussian noise with zero mean and double - sided power spectral density $$\eta /2$$ is the input $$x(t)$$ to a linear system with impulse response $$h(t)$$ $$ = exp\left( { - t/RC} \right)\,\,\,\,\,\,\,\,u\left( t \right)$$. The output is $$y(t)$$ . Evaluate $$E\left[ {x\left( {t + \tau } \right)y\left( t \right)} \right]$$ for $$\tau > 0.$$ (Note: $$u(t)$$ is the unit step function)
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