1
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
A modulated signal is given by, $$s\left(t\right)=m_1\left(t\right)\cos\left(2{\mathrm{πf}}_\mathrm c\mathrm t\right)\;+m_2\left(t\right)\sin\left(2{\mathrm{πf}}_\mathrm c\mathrm t\right)$$, where the baseband signal m1(t) and m2(t) have bandwidths of 10 kHz and 15 kHz, respectively. The bandwidth of the modulated signal, in kHz, is
A
10 kHz
B
15 kHz
C
25 kHz
D
30 kHz
2
GATE ECE 1999
MCQ (Single Correct Answer)
+2
-0.6
Four independent messages have bandwidths of 100Hz, 100 Hz, 200Hz and 400Hz respectively. Each is sampled at the Nyquist rate, and the samples are time division multiplexed (TDM) and transmitted. The transmitted sample rate )in Hz) is
A
1600
B
800
C
400
D
200
3
GATE ECE 1999
MCQ (Single Correct Answer)
+2
-0.6
The peak-to-peak input to an 8-bit PCM coder is 2 volts . The signal power - to -quantization noise power ratio (in dB) for an input of 0.5 $$\cos \left( {{\omega _m}t} \right)$$ is
A
47.8
B
49.8
C
95.6
D
99.6
4
GATE ECE 1999
MCQ (Single Correct Answer)
+2
-0.6
The input to a matched filter is given by $$$S\left( t \right) = \left\{ {\matrix{ {10\sin \left( {2\pi \times {{10}^6}t} \right),} & {0 < 1 < {{10}^{ - 4}}\sec } \cr {0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,,} & {otherwise} \cr } } \right.$$$

The peak amplitude of the filter output is

A
10 volts
B
5 volts
C
10 millivolts
D
5 millivolts
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