1
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
A bipolar transistor is operating in the active region with a collector current of 1mA. Assuming that the 'β' of the transistor is 100 and the transconductance (gm) and the input resistance ($${r_\pi }$$) of the transistor in the common emitter configuration, are
A
gm = 25 mA/V and $${r_\pi }$$ = $$15.6\,\,k\Omega $$
B
gm = 40 mA/V and $${r_\pi }$$ = $$4.0\,\,k\Omega $$
C
gm = 25 mA/V and $${r_\pi }$$ = $$2.5\,\,k\Omega $$
D
gm = 40 mA/V and $${r_\pi }$$ = $$2.5\,\,k\Omega $$
2
GATE ECE 2004
MCQ (Single Correct Answer)
+1
-0.3
In the output of a DM speech encoder, the consecutive pulses are of opposite polarity during time interval t1 $$ \le $$ t $$ \le $$ t2. This indicates that during this interval
A
the input to the modulator is essentially constant.
B
the modulator is going through slope overload.
C
the accumulator is in saturation.
D
the speech signal is being sampled at the Nyquist rate.
3
GATE ECE 2004
MCQ (Single Correct Answer)
+1
-0.3
In a PCM system, if the code word length is increased from 6 to 8 bits, the signal to quantization noise ratio improves by the factor
A
8/6
B
12
C
16
D
8
4
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
Consider a binary digital communication system with equally likely $$0’s$$ and $$1’s$$. When binary $$0$$ is transmitted the voltage at the detector input can lie between the levels $$-0.25V$$ and $$+0.25V$$ with equal probability when binary $$1$$ is transmitted, the voltage at the detector can have any value between $$0$$and $$1 V$$ with equal probability. If the detector has a threshold of $$2.0V$$ (i.e., if the received signal is greater than $$0.2 V$$, the bit is taken as $$1$$), the average bit error probability is
A
$$0.15$$
B
$$0.2$$
C
$$0.05$$
D
$$0.5$$
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