1
GATE ECE 2016 Set 1
Numerical
+1
-0
A super heterodyne receiver operates in the frequency range of 58 MHz – 68 MHz. The intermediate frequency f1F and local oscillator frequency fL0 are chosen such that f1F $$\leq$$ fL0.It is required that the image frequencies fall outside the 58 MHz – 68 MHz band. The minimum required f1F (in MHz) is ___________.
2
GATE ECE 2015 Set 1
+1
-0.3
Consider the signal $$s\left(t\right)\;=\;m\left(t\right)\;\cos\left(2{\mathrm{πf}}_\mathrm c\mathrm t\right)\;+\widehat m\left(t\right)\;\sin\left(2\mathrm\pi\;{\mathrm f}_\mathrm c\mathrm t\right)$$ where $$\widehat m\left(t\right)\;$$ denotes the Hilbert transform of m(t) and the bandwidth of m(t) is very small compared to fc. The signal s(t) is a
A
high-pass signal
B
low-pass signal
C
band-pass signal
D
double sideband suppressed carrier signal
3
GATE ECE 2014 Set 3
+1
-0.3
Consider an FM signal $$f\left(t\right)\;=\;\cos\left[2{\mathrm{πf}}_\mathrm c\mathrm t\;+\;{\mathrm\beta}_1\sin\;2{\mathrm{πf}}_1\mathrm t\;+\;{\mathrm\beta}_2\sin\;2{\mathrm{πf}}_2\mathrm t\right]$$ . The maximum deviation of the instantaneous frequency from the carrier frequency fc is
A
$$\beta_1f_1+\;\beta_2f_2$$
B
$$\beta_1f_2+\;\beta_2f_1$$
C
$$\beta_1+\;\beta_2$$
D
$$f_1+\;f_2$$
4
GATE ECE 2010
+1
-0.3
Consider an angle modulated signal x(t) = 6cos[2$$\mathrm\pi$$x106 t+2sin(8000$$\mathrm\pi$$t) + 4cos(8000$$\mathrm\pi$$t)] V. The average power of x(t) is.
A
10 W
B
18 W
C
20 W
D
28 W
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