An energy signal has G(f) = 10. Its energy density spectrum is 10 100 50 20 Ener

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Question
An energy signal has G(f) = 10. Its energy density spectrum is
Options
A. 10
B. 100
C. 50
D. 20

Correct Answer

100

Explanation

Energy density spectrum = |G(f)|² = |10|² = 100.

Signals and Systems problems

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1. As per time displacement theorem in Laplace transformation, displacement in the time domain by T becomes
Options
A. division by s in the s domain
B. division by e^-sT in the s domain
C. multiplication by s in the s domain
D. multiplication by e^-sT in the s domain

2. If �[f(t)] = F(s), then �[f(t - T)] =
Options
A. e^st F(s)
B. e^-st F(s)
C.
D.

3. The system with given pole-zero diagram is
Options
A. casual
B. non-casual
C. both sided
D. not-possible

4. A voltage wave having 5% fifth harmonic content is applied to a series RC circuit. The percentage fifth harmonic content in the current wave will be
Options
A. 5%
B. more than 5%
C. less than 5%
D. equal or more than 5%

5. Let x(t) and y(t) with F.T. x(f) and y(f) respectively be related as shown in figure

Then y(f) is
Options
A.
B.
C. -X(f/2)e^j2pf
D. -X(f/2)e^{- j2pf}

6. A signal m(t) is multiplied by a sinusoidal waveform of frequency f_c such that
v(t)=m(t) cos 2pf_ct
If Fourier transform of m(t) is M(f), Fourier transform of v(t) will be
Options
A. 0.5 M(f + f_c)
B. 0.5 M(f - f_c)
C. 0.5 M(f + f_c) + 0.5 M(f - f_c)
D. 0.5 M(f - f_c) + 0.5 M(f - f_c)

7. The analog signal m(t) is given below m(t) = 4 cos 100 pt + 8 sin 200 pt + cos 300 pt, the Nyquist sampling rate will be
Options
A. 1/100
B. 1/200
C. 1/300
D. 1/600

9. A pole zero pattern of a certain filter is shown in figure. This filter must be
Options
A. LPF
B. BFP
C. HPF
D. APF

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