1
GATE ECE 1988
MCQ (Single Correct Answer)
+2
-0.6
The message bit sequence input to a DPSK modulator is 1, 1, 0, 0, 1, 1. The carrier phase during the reception of the first two message bits is $$\pi ,\,\,\pi $$. The carrier phase for the remaining four message bits is
A
$$\pi $$, $$\pi $$, 0, $$\pi $$
B
0, 0, $$\pi $$, $$\pi $$
C
0, $$\pi $$, $$\pi $$, $$\pi $$
D
$$\pi $$, $$\pi $$, 0, 0
2
GATE ECE 1988
Subjective
+4
-0
White Gaussian noise with zero mean and double - sided power spectral density $$\eta /2$$ is the input $$x(t)$$ to a linear system with impulse response $$h(t)$$ $$ = exp\left( { - t/RC} \right)\,\,\,\,\,\,\,\,u\left( t \right)$$. The output is $$y(t)$$ . Evaluate $$E\left[ {x\left( {t + \tau } \right)y\left( t \right)} \right]$$ for $$\tau > 0.$$ (Note: $$u(t)$$ is the unit step function)
3
GATE ECE 1988
MCQ (Single Correct Answer)
+2
-0.6
A signal having uniformly distributed amplitude in the interval ( -V, +V ) is to be encoded using PCM with uniform quantization. The signal - to - quantizing noise ratio is determined by the
A
dynamic range of the signal
B
sampling rate
C
number of quantizing levels
D
power spectrum of signal
4
GATE ECE 1988
MCQ (Single Correct Answer)
+2
-0.6
In a digital communication system, transmissions of successive bits through a noisy channel are assumed to be independent events with error probability p. The probability of at most one error in the transmission of an 8 - bit sequence is
A
$$7\left( {1 - p} \right)/8 + p/8$$
B
$${\left( {1 - p} \right)^8} + 8p{\left( {1 - p} \right)^7}$$
C
$${\left( {1 - p} \right)^8} + {\left( {1 - p} \right)^7}$$
D
$${\left( {1 - p} \right)^8} + p{\left( {1 - p} \right)^7}$$
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