1
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
Let $$m\left(t\right)\;=\cos\left[\left(4\mathrm\pi\times10^3\right)t\right]$$ be the message signal and $$c\left(t\right)\;=5\cos\left[2\mathrm\pi\times10^6t\right]$$ be the carrier.

c(t) and m(t) are used to generate an AM signal. The modulation index of the generated AM signal is 0.5. Then the quantity $$\frac{Total\;sideband\;power}{Carrier\;power}$$ is

A
1/2
B
1/4
C
1/3
D
1/8
2
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t-2). The transfer function of the system should be
A
4 e$$j4\pi f$$
B
2 e$$-j8\pi f$$
C
4 e$$-j4\pi f$$
D
2 e$$j8\pi f$$
3
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
The signal flow graph of a system is shown in figure. The transfer function $$\frac{C(s)}{R(s)}$$ of the system is GATE ECE 2003 Control Systems - Signal Flow Graph and Block Diagram Question 19 English
A
$$\frac{6}{s^2+29s+6}$$
B
$$\frac{6s}{s^2+29s+6}$$
C
$$\frac{s(s+2)}{s^2+29s+6}$$
D
$$\frac{s(s+27)}{s^2+29s+6}$$
4
GATE ECE 2003
MCQ (Single Correct Answer)
+1
-0.3
A PD controller is used to compensate a system. Compared to the uncompensated system, the compensated system has
A
a higher type number.
B
reduced damping.
C
higher noise amplification.
D
larger transient overshoot.