Signal Processing MCQ Questions & Answers

41

If the fourier transform of f(t) is F(jω), then what is the Fourier transform of f(-t)?

A) F(jω) B) F(-jω) C) -F(jω) D) Complex conjugate of F(jω)

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Answer & Solution

Answer: Option B

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42

Which one of the following is the correct statement?
The continuous time system described by y(t) = x(t²) is

A) causal, linear and time-varying B) causal, non-linear and time-varying C) non-causal, non-linear and time-invariant D) non-causal and time-variant

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Answer & Solution

Answer: Option D

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43

The final value theorem is

A) $$\mathop {\lim }\limits_{k \to \infty } x\left( k \right) = \mathop {\lim }\limits_{z \to 1} \left( {z - 1} \right){X^ + }\left( z \right)$$ B) $$\mathop {\lim }\limits_{k \to \infty } x\left( k \right) = \mathop {\lim }\limits_{z \to 1} {X^ + }\left( z \right)$$ C) $$\mathop {\lim }\limits_{k \to \infty } x\left( k \right) = \mathop {\lim }\limits_{z \to 0} \left( {{z^{ - 1}}} \right){X^ + }\left( z \right)$$ D) $$\mathop {\lim }\limits_{k \to \infty } x\left( k \right) = \mathop {\lim }\limits_{z \to 0} {\left( {z - 1} \right)^{ - 1}}{X^ + }\left( {{z^{ - 1}}} \right)$$

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Answer & Solution

Answer: Option A

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44

The auto correlation of a wide-sense stationary random process is given by e^-2|τ|. The peak value of the spectral density is

A) 2 B) 1 C) $${{\text{e}}^{ - \frac{1}{2}}}$$ D) e

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Answer & Solution

Answer: Option B

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45

Consider a continuous time system A, modelled by the equation y(t) = t.x(t) + 4 and a discrete time system B modelled by the equation y[n] = x²[n]. These systems are

A) A-time invariant and B-time invariant B) A-time varying and B-time invariant C) A-time invariant and B-time varying D) A-time varying and B-time varying

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Answer & Solution

Answer: Option B

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46

If the step response of an initially relaxed circuit is known, then the ramp response can be obtained by

A) Integrating the step response B) Differentiating the step response C) Integrating the step response twice D) Differentiating the step response twice

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Answer & Solution

Answer: Option A

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47

Mutual information I(X ; Y) between two discrete random variables X and Y is given by

A) H(X) + H(Y) - H(X, Y) B) H(X) - H(Y|X) C) H(Y) - H(X|Y) D) H(X) + H(Y) + H(X, Y)

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Answer & Solution

Answer: Option A

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48

Laplace transform of e^-atf(t) is

A) F(s)e^-at B) F(s - a) C) F(s + a) D) $$\frac{{{\text{F}}\left( {\text{s}} \right)}}{{\text{s}}} + {\text{a}}$$

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Answer & Solution

Answer: Option C

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49

Consider the following transfer functions:
$$\eqalign{ & 1.\,\frac{1}{{j\omega + 1}} \cr & 2.\,\frac{1}{{{{\left( {j\omega + 1} \right)}^2}}} \cr & 3.\,\frac{1}{{\left( {j\omega + 1} \right)\left( {j\omega + 2} \right)}} \cr} $$
The transfer functions which have a non linear phase are:

A) 1 and 2 only B) 1 and 3 only C) 2 and 3 only D) 1, 2 and 3

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Answer & Solution

Answer: Option D

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50

Consider an ideal low pass filter. Such a discrete-time system is:

A) Always realizable physically B) Never realizable physically C) A non linear system D) A linear, causal system

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Answer & Solution

Answer: Option B

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Signal Processing MCQ Questions & Answers | ECE