1
GATE ECE 2017 Set 2
Numerical
+2
-0
A modulating signal given By $$x\left(t\right)=5\sin\left(4\mathrm\pi10^3\mathrm t\;-\;10\mathrm{πcos}2\mathrm\pi10^3\mathrm t\right)$$ V is fed to a phase modulator with phase deviation constant kp=0.5rad/V. If the carrier frequency is 20 kHz, the instantaneous frequency (in kHz) at t = 0.5 ms is __________
2
GATE ECE 2015 Set 1
Numerical
+2
-0
In the system shown in figure (a), m(t) is a low-pass signal with bandwidth W Hz. The frequency response of the band-pass filter H(f) is shown in figure (b). If it is desired that the output signal z(t) = 10x(t), the maximum value of W (in Hz) should be strictly less than ____________________.
3
GATE ECE 2012
+2
-0.6
The signal m(t) as shown is applied both to a phase modulator (with kp as the phase constant) and a frequency modulator (with kf as the frequency constant) having the same carrier frequency.

The ratio kp/kf (in rad/Hz) for the same maximum phase deviation is

A
$$8\mathrm\pi$$
B
$$4\mathrm\pi$$
C
$$2\mathrm\pi$$
D
$$\mathrm\pi$$
4
GATE ECE 2008
+2
-0.6
The signal $$\cos\;\omega_ct\;+\;0.5\;\cos\;\omega_mt\;s\mathrm{in}\;\omega_ct$$ is
A
FM only
B
AM only
C
both AM & FM
D
neither AM nor FM
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