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 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
$$5\;J_4\left(6\right)$$
2
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
The input to a linear delta modulator having a step size $$\Delta $$ = 0.628 is a sine wave with frequency fm and peak amplitude Em. If the sampling frequency fs = 40 KHz. the combination of the sine-wave frequency and the amplitude, where slope overload will take place is
A
Em 0.3V, Fm 8 KHz
B
Em 1.5V, Fm 4 KHz
C
Em 1.5V, Fm 2 KHz
D
Em 3.0V, Fm 1 KHz
3
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
If S represents the carrier synchronization at the receiver and $$\rho $$ represents the bandwidth efficiency, then the correct statement for the coherent binary PSK is
A
$$\rho = 0.5,\,S$$ is required
B
$$\rho = 1.0,\,S$$ is required
C
$$\rho = 0.5,\,S$$ is not required
D
$$\rho = 1.0,\,S $$ is not required
4
GATE ECE 2003
MCQ (Single Correct Answer)
+2
-0.6
A signal is sampled at 8 KHz and is quantized using 8-bit uniform quantizer. Assuming $$SN{R_q}$$ for a sinusoidal signal, the correct statement for PCM signal with a bit rate of R is
A
R = 32 kbps, $$SN{R_q}$$ = 25.8 dB
B
R = 64 kbps, $$SN{R_q}$$ = 49.8 dB
C
R = 64 kbps, $$SN{R_q}$$ = 55.8 dB
D
R = 32 kbps, $$SN{R_q}$$ = 49.8 dB
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