Signal Processing MCQ Questions & Answers

41

A system is defined by its impulse response h(n) = 2ⁿ u(n - 2). The system is

A) Stable and causal B) Causal but not stable C) Stable but not causal D) Unstable and noncausal

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Answer & Solution

Answer: Option B

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42

A discrete time linear shift-invariant system has an impulse response h[n] with h[0] = 1, h[1] = -1, h[2] = 2, and zero otherwise. The system is given an input sequence x[n] with x[0] = x[2] = 1 and zero otherwise. The number of nonzero samples in the output sequence y[n], and the value of y[2] are, respectively

A) 5, 2 B) 6, 2 C) 6, 1 D) 5, 3

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Answer & Solution

Answer: Option A

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43

If the impulse response of a discrete-time system is h[n] = -5ⁿu[- n - 1], then the system function H(z) is equal to

A) $${{ - z} \over {z - 5}}$$ and the system is stable B) $${z \over {z - 5}}$$ and the system is stable C) $${{ - z} \over {z - 5}}$$ and the system is unstable D) $${z \over {z - 5}}$$ and the system is unstable

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Answer & Solution

Answer: Option B

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44

For an N-point FFT algorithm with N = 2^m, which one of the following statements is TRUE?

A) It is not possible to construct a signal flow graph with both input and output in normal order B) The number of butterflies in the mn state is $$\frac{N}{m}$$ C) In-place computation requires storage of only 2N node data D) Computation of a butterfly requires only one complex multiplication

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Answer & Solution

Answer: Option D

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45

A discrete-time signal x [n] = sin(π² n), n being an integer, is

A) Periodic with period π B) Periodic with period π² C) Periodic with period $${\pi \over 2}$$ D) Not periodic

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Answer & Solution

Answer: Option D

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46

Which one of the following is an eigen function of the class of all continuous-time, linear, time-invariant systems (u(t) denotes the unit-step function)?

A) e^jω₀t u(t) B) cos(ω₀t) C) e^jω₀t D) sin(ω₀t)

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Answer & Solution

Answer: Option A

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47

The Fourier Transform of a function x(t) is X(f). The Fourier transform of $${{dx\left( t \right)} \over {dt}}$$ will be

A) $${{dx\left( t \right)} \over {dt}}$$ B) $$j2\pi fX\left( f \right)$$ C) $$jfX\left( f \right)$$ D) $${{X\left( f \right)} \over {jf}}$$

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Answer & Solution

Answer: Option C

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48

The magnitude and phase of the complex Fourier series coefficient a_k of a periodic signal x(t) are shown in the figure. Choose the correct statement from the four choices given. Notation: C is the set of complex number, R is the set of purely real numbers, and P is the set of purely imaginary numbers.
Signal Processing mcq question image

A) $$x\left( t \right) \in R$$ B) $$x\left( t \right) \in P$$ C) $$x\left( t \right) \in \left( {C - R} \right)$$ D) The information given is not sufficient to draw any conclusion about x(t)

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Answer & Solution

Answer: Option A

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49

Let the signal i(t) = 0 outside the interval [T₁, T₂], where T₁ and T₂ are finite. Furthermore, |f(t)| < ∞. The region of convergence (ROC) of the signal's bilateral Laplace transform F(s) is

A) A parallel strip containing the $$j\Omega $$ axis B) A parallel strip not containing the $$j\Omega $$ axis C) The entire s-plane D) A half plane containing the $$j\Omega $$ axis

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Answer & Solution

Answer: Option C

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50

The z-transform F(z) of the function f(nT) = a^nT is

A) $${z \over {z - {a^T}}}$$ B) $${z \over {z + {a^T}}}$$ C) $${z \over {z - {a^{ - T}}}}$$ D) $${z \over {z + {a^{ - T}}}}$$

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Answer & Solution

Answer: Option A

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Signal Processing MCQ Questions & Answers | ECE