Double integration of a unit step function would lead to an impulse a parabola a

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Question
Double integration of a unit step function would lead to
Options
A. an impulse
B. a parabola
C. a ramp
D. a doublet

Correct Answer

a parabola

Explanation

Double integration of a unit step function would lead to an impulse a parabola a ramp a doublet .

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Signals and Systems problems

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1. 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

3. 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

4. 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)

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

6. What about the stability of system in
Options
A. system is stable
B. unstable
C. stable at 0.4
D. cant say

9. For the discrete time system of the given figure
Options
A. y_k - 0.5 y_k_{- 1} - 0.25 y_k_{- 2} = u_k
B. y_k + 0.5 y_k_{- 1} - 0.25 y_k_{- 2} = u_k
C. y_k - 0.5 y_k_{- 1} + 0.25 y_k_{- 2} = u_k
D. y_k + 0.5 y_k_{- 1} + 0.25 y_k_{- 2} = u_k

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