A pole zero pattern of a certain filter is shown in figure. This filter must be

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Question
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

Correct Answer

APF

Explanation

In transfer function, no of zeros = no. of poles, hence it is all pass fliter.

Signals and Systems problems

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2. 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

3. 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)

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

5. 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

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

10. 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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