1
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
If the input to the ideal comparator shown in figure is sinusoidal signal of 8V (peak to peak) without any DC component, then the output of the comparator has a duty cycle of GATE ECE 2003 Analog Circuits - Operational Amplifier Question 47 English
A
1/2
B
1/3
C
1/6
D
1/12
2
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
A DSB-SC signal is to be generated with a carrier frequency fc = 1MHz using a nonlinear device with the input-output characteristic $$v_0=a_0v_i\;+\;a_1v_i^3$$.where a0 and a1 are constants. The output of the nonlinear device can be filtered by an appropriate band-pass filter. Let $$v_0=A_c'\;\cos\left(2{\mathrm{πf}}_\mathrm c'\mathrm t\right)\;+\;m\left(t\right)$$ where m(t) is the message signal. Then the value of $$f_c'$$ (in MHz) is
A
1.0
B
0.333
C
0.5
D
3.0
3
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
4
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 FM signal. If the peak frequency deviation of the generated FM signal is three times the transmission bandwidth of the AM singal, then the coefficient of the term $$\cos\left[2\mathrm\pi\left(1008\times10^3\right)t\right]$$ in the FM signal (in terms of the Bessel coefficients) is

A
$$5\;J_4\left(3\right)$$
B
$$\left(5/2\right)\;J_8\left(3\right)$$
C
$$\left(5/2\right)\;J_8\left(4\right)$$
D
$$5\;J_4\left(6\right)$$
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