MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Given a real valued function y (t) with period T. Its trigonometric Fourier series expansion contains no term of frequency ω = 2π \(\frac{(2k)}{T}\); where, k = 1, 2….. Also no terms are present. Then, y(t) satisfies the equation ____________ |
| A. | y (t) = y (t+T) = -y (t+\(\frac{T}{2}\)) |
| B. | y (t) = y (t+T) = y (t+\(\frac{T}{2}\)) |
| C. | y (t) = y (t-T) = -y (t-\(\frac{T}{2}\)) |
| D. | y (t) = y (t-T) = y (t-\(\frac{T}{2}\)) |
| Answer» E. | |
| 2. |
The running integrator, given by y(t) = \(∫_{-∞}^∞ x(t) \,dt\) has ____________ |
| A. | No finite singularities in it’s double sided Laplace transform Y(s) |
| B. | Produces an abounded output for every causal bounded input |
| C. | Produces a bounded output for every anti-causal bounded input |
| D. | Has no finite zeroes in it’s double sided Laplace transform Y (s) |
| Answer» C. Produces a bounded output for every anti-causal bounded input | |
| 3. |
The continuous time system described by the equation y(t) = x(t2) comes under the category of ____________ |
| A. | Causal, linear and time varying |
| B. | Causal, non-linear and time varying |
| C. | Non-causal, non-linear and time invariant |
| D. | Non-causal, linear and time variant |
| Answer» E. | |
| 4. |
The Fourier series for the function f (x) = sin2x is ______________ |
| A. | 0.5 + 0.5 sin 2x |
| B. | 0.5 – 0.5 sin 2x |
| C. | 0.5 + 0.5 cos 2x |
| D. | 0.5 – 0.5 cos 2x |
| Answer» E. | |
| 5. |
X (ejω) = \(\frac{(b-a) e^{jω}}{e^{-j2ω}-(a+b) e^{jω} + ab)}\), |b|<1<|a| |
| A. | The value of x[n] is __________ |
| B. | bn u [n] + an u [n-1] |
| C. | bn u [n] – an u [-n-1] |
| D. | bn u [n] + an u [-n-1] |
| E. | bn u [n] – an u [n+1] |
| Answer» D. bn u [n] + an u [-n-1] | |
| 6. |
The rms value of a rectangular wave of period T, having value +V for a duration, T1( |
| A. | V |
| B. | \(\sqrt{V}\) |
| C. | \(\frac{\sqrt{V}}{2}\) |
| D. | 0 |
| Answer» B. \(\sqrt{V}\) | |
| 7. |
A pulse of unit amplitude and width a, is applied to a series RL circuit having R = 1 Ω, L = 1H. The current I(t) at t = ∞ is __________ |
| A. | 0 |
| B. | Infinite |
| C. | 2 A |
| D. | 1 A |
| Answer» B. Infinite | |
| 8. |
An LTI system with impulse response h1 [n] = -2(\(\frac{1}{4})^n\) u[n] is connected in parallel with another causal LTI system with impulse response h2 [n]. The resulting interconnection has frequency response H (ejω) = \(\frac{-12+5e^{-jω}}{12+7e^{-jω}+e^{-j2ω}}\). Then h2[n] is ___________ |
| A. | (\(\frac{1}{3}\))n u[n-1] |
| B. | (\(\frac{1}{3}\))n u[n] |
| C. | (\(\frac{1}{4}\))n u[n] |
| D. | (\(\frac{1}{4}\))n u[n-1] |
| Answer» C. (\(\frac{1}{4}\))n u[n] | |
| 9. |
The system characterized by the differential equation \(\frac{d^2 y(t)}{t^2} – \frac{dy}{dt} – 2y(t) = x(t)\) is _____________ |
| A. | Linear and stable |
| B. | Linear and unstable |
| C. | Nonlinear and unstable |
| D. | Nonlinear and stable |
| Answer» C. Nonlinear and unstable | |
| 10. |
The CTFT of a continuous time signal x(t) = e-A|t|, A>0 is _________ |
| A. | \(\frac{2A}{ω^2} \) |
| B. | \(\frac{A}{A^2+ω^2} \) |
| C. | \(\frac{2A}{A^2+ω^2} \) |
| D. | \(\frac{A}{ω^2} \) |
| Answer» D. \(\frac{A}{ω^2} \) | |