MCQOPTIONS
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MCQOPTIONS
This section includes 20 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In the equation x(t) = a(t)cos[2πFct+θ(t)], Which of the following relations between a(t) and x(t), θ(t) and x(t) are true? |
| A. | a(t), θ(t) are called the Phases of x(t) |
| B. | a(t) is the Phase of x(t), θ(t) is called the Envelope of x(t) |
| C. | a(t) is the Envelope of x(t), θ(t) is called the Phase of x(t) |
| D. | none of the mentioned |
| Answer» D. none of the mentioned | |
| 2. |
What is the possible representation of x(t) if xl(t)=a(t)e(jθ(t))? |
| A. | x(t) = a(t) cos[2πFct – θ(t)] |
| B. | x(t) = a(t) cos[2πFct + θ(t)] |
| C. | x(t) = a(t) sin[2πFct + θ(t)] |
| D. | x(t) = a(t) sin[2πFct – θ(t)] |
| Answer» C. x(t) = a(t) sin[2πFct + θ(t)] | |
| 3. |
If a possible representation of a band pass signal is obtained by expressing xl (t) as \(x_l (t)=a(t)e^{jθ(t})\) then what are the equations of a(t) and θ(t)? |
| A. | a(t) = \(\sqrt{u_c^2 (t)+u_s^2 (t)}\) and θ(t)=\(tan^{-1}\frac{u_s (t)}{u_c (t)}\) |
| B. | a(t) = \(\sqrt{u_c^2 (t)-u_s^2 (t)}\) and θ(t)=\(tan^{-1}\frac{u_s (t)}{u_c (t)}\) |
| C. | a(t) = \(\sqrt{u_c^2 (t)+u_s^2 (t)}\) and θ(t)=\(tan^{-1}\frac{u_c (t)}{u_s (t)}\) |
| D. | a(t) = \(\sqrt{u_s^2 (t)-u_c^2 (t)}\) and θ(t)=\(tan^{-1}\frac{u_s (t)}{u_c (t)}\) |
| Answer» B. a(t) = \(\sqrt{u_c^2 (t)-u_s^2 (t)}\) and θ(t)=\(tan^{-1}\frac{u_s (t)}{u_c (t)}\) | |
| 4. |
In the equation x(t) = Re\([x_l (t) e^{j2πF_c t}]\), What is the lowpass signal xl (t) is usually called the ___ of the real signal x(t). |
| A. | Mediature envelope |
| B. | Complex envelope |
| C. | Equivalent envelope |
| D. | All of the mentioned |
| Answer» C. Equivalent envelope | |
| 5. |
What is the other way of representation of bandpass signal x(t)? |
| A. | x(t) = Re\([x_l (t) e^{j2πF_c t}]\) |
| B. | x(t) = Re\([x_l (t) e^{jπF_c t}]\) |
| C. | x(t) = Re\([x_l (t) e^{j4πF_c t}]\) |
| D. | x(t) = Re\([x_l (t) e^{j0πF_c t}]\) |
| Answer» B. x(t) = Re\([x_l (t) e^{jπF_c t}]\) | |
| 6. |
In the relation, x(t) = \(u_c (t) cos2π \,F_c \,t-u_s (t) sin2π \,F_c \,t\) the low frequency components uc and us are called _____________ of the bandpass signal x(t). |
| A. | Quadratic components |
| B. | Quadrature components |
| C. | Triplet components |
| D. | None of the mentioned |
| Answer» C. Triplet components | |
| 7. |
If we substitute the equation \(x_l (t)= u_c (t)+j u_s (t)\) in equation x (t) + j ẋ (t) = xl(t) ej2πFct and equate real and imaginary parts on side, then what are the relations that we obtain? |
| A. | x(t)=\(u_c (t) \,cos2π \,F_c \,t+u_s (t) \,sin2π \,F_c \,t\); ẋ(t)=\(u_s (t) \,cos2π \,F_c \,t-u_c \,(t) \,sin2π \,F_c \,t\) |
| B. | x(t)=\(u_c (t) \,cos2π \,F_c \,t-u_s (t) \,sin2π \,F_c \,t\); ẋ(t)=\(u_s (t) \,cos2π \,F_c t+u_c (t) \,sin2π \,F_c \,t\) |
| C. | x(t)=\(u_c (t) \,cos2π \,F_c t+u_s (t) \,sin2π \,F_c \,t\); ẋ(t)=\(u_s (t) \,cos2π \,F_c t+u_c (t) \,sin2π \,F_c \,t\) |
| D. | x(t)=\(u_c (t) \,cos2π \,F_c \,t-u_s (t) \,sin2π \,F_c \,t\); ẋ(t)=\(u_s (t) \,cos2π \,F_c \,t-u_c (t) \,sin2π \,F_c \,t\) |
| Answer» C. x(t)=\(u_c (t) \,cos2π \,F_c t+u_s (t) \,sin2π \,F_c \,t\); ẋ(t)=\(u_s (t) \,cos2π \,F_c t+u_c (t) \,sin2π \,F_c \,t\) | |
| 8. |
What is the equivalent time domain relation of xl(t) i.e., lowpass signal? |
| A. | \(x_l (t)=[x(t)+j ẋ(t)]e^{-j2πF_c t}\) |
| B. | x(t)+j ẋ(t) = \(x_l (t) e^{j2πF_c t}\) |
| C. | \(x_l (t)=[x(t)+j ẋ(t)]e^{-j2πF_c t}\) & x(t)+j ẋ(t) = \(x_l (t) e^{j2πF_c t}\) |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 9. |
What is the equivalent lowpass representation obtained by performing a frequency translation of X+(F) to Xl(F)= ? |
| A. | X+(F+Fc) |
| B. | X+(F-Fc)c) X+(F*F |
| C. | X+(F-Fc)c) X+(F*Fc) |
| D. | X+(Fc-F) |
| Answer» B. X+(F-Fc)c) X+(F*F | |
| 10. |
What is the frequency response of a Hilbert transform H(F)=? |
| A. | \(\begin{cases}&-j (F>0) \\ & 0 (F=0)\\ & j (F<0)\end{cases}\) |
| B. | \(\left\{\begin{matrix}-j & (F<0)\\0 & (F=0) \\j & (F>0)\end{matrix}\right. \) |
| C. | \(\left\{\begin{matrix}-j & (F>0)\\0 &(F=0) \\j & (F<0)\end{matrix}\right. \) |
| D. | \(\left\{\begin{matrix}j&(F>0)\\0 & (F=0)\\j & (F<0)\end{matrix}\right. \) |
| Answer» B. \(\left\{\begin{matrix}-j & (F<0)\\0 & (F=0) \\j & (F>0)\end{matrix}\right. \) | |
| 11. |
If the signal ẋ(t) can be viewed as the output of the filter with impulse response h(t) = 1/πt, -∞ < t < ∞ when excited by the input signal x(t) then such a filter is called as __________ |
| A. | Analytic transformer |
| B. | Hilbert transformer |
| C. | Both Analytic & Hilbert transformer |
| D. | None of the mentioned |
| Answer» C. Both Analytic & Hilbert transformer | |
| 12. |
In equation \(x_+ (t)=F^{-1} [2V(F)]*F^{-1} [X(F)]\), if \(F^{-1} [2V(F)]=δ(t)+j/πt\) and \(F^{-1} [X(F)]\) = x(t). Then the value of ẋ(t) is? |
| A. | \(\frac{1}{π} \int_{-\infty}^\infty \frac{x(t)}{t+τ} dτ\) |
| B. | \(\frac{1}{π} \int_{-\infty}^\infty \frac{x(t)}{t-τ} dτ\) |
| C. | \(\frac{1}{π} \int_{-\infty}^\infty \frac{2x(t)}{t-τ} dτ\) |
| D. | \(\frac{1}{π} \int_{-\infty}^\infty \frac{4x(t)}{t-τ} dτ\) |
| Answer» C. \(\frac{1}{π} \int_{-\infty}^\infty \frac{2x(t)}{t-τ} dτ\) | |
| 13. |
In time-domain expression, \(x_+ (t)=F^{-1} [2V(F)]*F^{-1} [X(F)]\). The signal x+(t) is known as |
| A. | Systematic signal |
| B. | Analytic signal |
| C. | Pre-envelope of x(t) |
| D. | Both Analytic signal & Pre-envelope of x(t) |
| Answer» E. | |
| 14. |
What is the equivalent time –domain expression of X+(F)=2V(F)X(F)? |
| A. | F(+1)[2V(F)]*F(+1)[X(F)] |
| B. | F(-1)[4V(F)]*F(-1)[X(F)] |
| C. | F(-1)[V(F)]*F(-1)[X(F)] |
| D. | F(-1)[2V(F)]*F(-1)[X(F)] |
| Answer» E. | |
| 15. |
In the equation x(t) = a(t)cos[2πFct+θ(t) ], Which of the following relations between a(t) and x(t), θ(t) and x(t) are true?$ |
| A. | a(t), θ(t) are called the Phases of x(t) |
| B. | a(t) is the Phase of x(t), θ(t) is called the Envelope of x(t) |
| C. | a(t) is the Envelope of x(t), θ(t) is called the Phase of x(t) |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 16. |
What is the possible representation of x(t) if xl(t)=a(t)e(jθ(t)) ?$ |
| A. | x(t) = a(t) cos(2pF<sub>c</sub>t – ?(t)) |
| B. | x(t) = a(t) cos(2pF<sub>c</sub>t + ?(t)) |
| C. | x(t) = a(t) sin(2pF<sub>c</sub>t + ?(t)) |
| D. | x(t) = a(t) sin(2pF<sub>c</sub>t – ?(t)) |
| Answer» C. x(t) = a(t) sin(2pF<sub>c</sub>t + ?(t)) | |
| 17. |
What is the equivalent lowpass representation obtained by performing a frequency translation of X+(F) to Xl(F)= ? |
| A. | X<sub>+</sub>(F+F<sub>c</sub>) |
| B. | X<sub>+</sub>(F-F<sub>c</sub>) |
| C. | X<sub>+</sub>(F*F<sub>c</sub>) |
| D. | X<sub>+</sub>(F<sub>c</sub>-F) |
| Answer» B. X<sub>+</sub>(F-F<sub>c</sub>) | |
| 18. |
If the signal ẋ(t) can be viewed as the output of the filter with impulse response h(t) = 1/πt , -∞ < t < ∞$ |
| A. | then such a filter is called as___ |
| B. | Analytic transformer |
| C. | Hilbert transformer |
| D. | Both Analytic & Hilbert transformer |
| Answer» C. Hilbert transformer | |
| 19. |
What is the equivalent time –domain expression of X+(F)=2V(F)X(F)?$ |
| A. | F<sup>(+1)</sup>2V(F)*F<sup>(+1)</sup>X(F) |
| B. | F<sup>(-1)</sup>4V(F)*F<sup>(-1)</sup>X(F) |
| C. | F<sup>(-1)</sup>V(F)*F<sup>(-1)</sup>X(F) |
| D. | F<sup>(-1)</sup>2V(F)*F<sup>(-1)</sup>X(F) |
| Answer» E. | |
| 20. |
Which of the following is the right way of representation of equation that contains only the positive frequencies in a given x(t) signal? |
| A. | X<sub>+</sub>(F)=4V(F)X(F) |
| B. | X<sub>+</sub>(F)=V(F)X(F) |
| C. | X<sub>+</sub>(F)=2V(F)X(F) |
| D. | X<sub>+</sub>(F)=8V(F)X(F) |
| Answer» D. X<sub>+</sub>(F)=8V(F)X(F) | |