The system with given pole-zero diagram is casual non-casual both sided not-poss

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

Correct Answer

not-possible

Explanation

Because no.of zero is more than Pole, therefore when you find transfer function.

Numerator power will higher than denominator, and such transfer functions is not realizable.

Signals and Systems problems

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1. 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%

2. 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}

3. The signal defined by the equations f(t) = 0 for t < 0, f(t) = E for 0 ? t ? a and f(t) = 0 for t > a is
Options
A. a step function
B. a pulse function
C. a shifted step function originating at t = a
D. none of the above

5. Two function g₁(t) and g₂(t) with correlation of 6 has average power of 4 and 5 respectively. The power of g₁(t) + g₂(t) is
Options
A. 9
B. 21
C. 3
D. 15

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

7. 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

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

9. 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)

10. 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

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