1 . A signal x(n) = sin(w0n + f ) is the input to a
linear time-invariant system having a frequency response H(e^jw ). If
the output of the system Ax(n - n0), then the most general form of
ÐH(ejw) will be
A. - n0w0 + b for any arbitrary real b. B. - n0w0 + 2pk for any arbitrary integer k. C. n0w0 + 2pk for any arbitrary integer k. D. -n0w0 f.
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2. Noise with uniform power spectral density of
NW/Hz is passed through a filter H (w) = 2 exp(-jwtd) followed by an
ideal low pass filter of bandwidth BHz. The output noise power in Watts
is
A. 2NB B. 4NB C. eNB D. 16 NB
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3. The state variable equations of a system are:
i. x1 = - 3×1 - x2 + u
ii. x1 = 2×1, y = x1 + u
The system is
A. controllable but not observable B. observable but not controllable C. neither controllable nor observable D. controllable and observable
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4. A 1 mW video signal having a bandwidth of 100
MHz is transmitted to a receiver through a cable that has 40 dB loss.
If the effective one-sided noise spectral density at the receiver is
10-20 Watt/Hz, then the signal-to-noise ratio at the receiver is
A. 50 dB B. 30 dB C. 40 dB D. 60 dB
Ans are:
1-B 2-B 3-D 4-A
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