signals-and-systems electronics-and-communication-engineering question and answers -Page 2

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Signals and Systems problems

1. 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)

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

4. 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

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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