Signal Processing MCQ Questions & Answers

11

If X(z) is $$\frac{1}{{1 - {z^{ - 1}}}}$$ with |z| > 1, then what is the corresponding x(n)?

A) e^-n B) eⁿ C) u(n) D) δ(n)

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Answer & Solution

Answer: Option C

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12

A causal LTI system is described by the difference equation 2y[n] = αy[n - 2] - 2x[n] + βx[n - 1]
The system is stable only if

A) |α| = 2, |β| < 2 B) |α| > 2, |β| > 2 C) |α| < 2, any value of β D) |β| < 2, any value of α

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Answer & Solution

Answer: Option C

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13

The spectral density of a random signal is given by π[δ(ω - ω₀) + δ(ω + ω₀)]. The auto-correlation function of the signals is

A) cos ω₀τ B) sin ω₀τ C) cos[(ω - ω₀)τ] D) sin[(ω - ω₀)τ]

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Answer & Solution

Answer: Option A

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14

In a discrete-time Low Pass Filter, the frequency response is

A) Aperiodic B) Aperiodic with response restricted to (-ω_c, ω_c) C) Periodic with period 2π D) Quasi periodic with response extending to infinity

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Answer & Solution

Answer: Option C

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15

A discrete time system y(n) is the resultant convolution of f(n) and h(n) having length 3 and 5 respectively. The maximum possible sample value of f(n) and h(n) are 10 and 20 respectively. Find the maximum possible value for sum of all sample value of y(n).

A) 3000 B) 15 C) 130 D) 200

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Answer & Solution

Answer: Option A

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16

The autocorrelation function R_x(τ) of the signal x(τ) = V sin ωt is given by

A) $$\frac{1}{2}$$V² cos ωτ B) V² cos ωτ C) V² cos² ωτ D) 2V² cos² ωτ

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Answer & Solution

Answer: Option A

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17

The impulse response of a linear time invariant system is a rectangular pulse of duration T. It is excited by an input of a pulse of duration T. What is the filter output waveform?

A) Rectangular pulse of duration T B) Rectangular pulse of duration 2T C) Triangular pulse of duration T D) Triangular pulse of duration 2T

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Answer & Solution

Answer: Option D

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18

Consider a cascade system with unit step u(t) as input and h₁(t) = e^-2tu(t) and h₂(t) = e^-tu(t) respectively as impulse responses of two systems, find out the overall output.

A) y(t) = x²(t)e^-tu(t) B) y(t) = [e^-t - e^-2t]u(t) C) y(t) = t²e^-2tu(t) D) y(t) = 2t²e^-2tu(t)

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Answer & Solution

Answer: Option B

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19

A system has impulse response h[n] = cos(n)u[n]. The system is:

A) Causal and stable B) Non causal and stable C) Non causal and not stable D) Causal and not stable

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Answer & Solution

Answer: Option D

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20

Consider the following system
h(n) is a filter with frequency response, then
Signal Processing mcq question image

A) \[H\left( {{e^{j\omega }}} \right) = \left\{ \begin{array}{l} 1,\,\,\,\,\left| \omega \right| \le \pi /D\\ 0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\] B) \[H\left( {{e^{j\omega }}} \right) = \left\{ \begin{array}{l} {T_s},\,\,\,\,\left| \omega \right| \le \pi /D\\ 0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\] C) \[H\left( {{e^{j\omega }}} \right) = \left\{ \begin{array}{l} \frac{1}{{{T_s}}},\,\,\,\,\left| \omega \right| \le \pi /D\\ 0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\] D) \[H\left( {{e^{j\omega }}} \right) = \left\{ \begin{array}{l} {e^{ - j3\omega }},\,\,\,\,\left| \omega \right| \le \pi /D\\ 0,\,\,\,\,{\rm{otherwise}} \end{array} \right.\]

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Answer & Solution

Answer: Option A

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Signal Processing MCQ Questions & Answers | ECE