Signal Processing MCQs with Answers 2027

Q321

Which of the following gives the average value or expectation of the function g(X) of the random variable X?
(Given f(X) is the probability density function)

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Q322

Open question

Consider the following statements regarding filters:
1. Cauer filter has equiripple passband and stopband.
2. For a given filter order, passband and stopband deviations, Cauer filters have more transition bandwidth as compared to Chebyshev filters.
3. Linear phase characteristics cannot be achieved in IIR filters.
Which of the above statements are correct?

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Q323

Open question

Z-transform deals with discrete time systems for their:
1. Transient behavior
2. Steady-state behavior
Which of the above behaviors is/are correct?

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Q324

Open question

A signal x(n) = sin(ω₀ n + φ) is the input to a linear time-invariant system having a frequency response H(e^jω). If the output of the system Ax(n - n₀), then the most general form of ∠H(e^jω) will be

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Q325

Open question

Which one of the following system is nonlinear? [y(t) = output; x(t) = input]

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Q326

Open question

What is the Fourier Inverse of

H (f) = \frac{j 3 π f}{1 + j π f} ?

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Q327

Open question

Which one of the following digital filters does have a linear phase response?

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Q328

Open question

A first order system initially at rest has for a signal u(t), the response 1 - e^-t. If the signal is 2u(t) cost, the response will be

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Q329

Open question

Consider a signal x(t) such that x(-t) = x(t). Let X(ω) be the Fourier transform of x(t). Then, X(ω) satisfies the property

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Q330

Open question

The covariance function of a band limited white noise is

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Q331

Open question

Let the signal f(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

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Q332

Open question

Impulse invariance method is not preferred in the design of FIR filter other than low pass filter because of

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Q333

Open question

The impulse response h(t) of a linear time invariant continuous time system is described by h(t) = exp(αt)u(t) + exp(βt)u(-t) where u(-t) denotes the unit step function, and α and β are real constants. This system is stable if

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Q334

Open question

A linear phase channel with phase delay T_p and group delay T_g must have

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Q335

Open question

A signal x(t) = sinc(αt), where α is a real constant, is the input to a linear time invariant system whose impulse response is h(t) = sinc(βt), where β is a real constant. If min(α, β) denotes the minimum of α and β and similarly, max(α, β) denotes the maximum of α and β, and K is a constant, which one of the following statements is true about the

(here, sin c (x) = \frac{sin ( π x )}{π x})

output of the system?

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Q336

Open question

An LTI system having transfer function

\frac{s ^{2} + 1}{s ^{2} + 2 s + 1}

and input x(t) = sin(t + 1) is in steady state. The output is sampled at a rate ω_s rad/s to obtain the final output {y(k)}. Which of the following is true?

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Q337

Open question

Which one of the following must be satisfied if a signal is to be periodic for -∞ < t < ∞?

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Q338

Open question

Express the following finite discrete time signal as the difference of two unit step sequences:
x[n] = 1, for 0 ≤ n ≤ 5; and 0 otherwise.

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Q339

Open question

A periodic function of half-wave symmetry is necessarily

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Q340

Open question

The Laplace transformation of a doublet is:

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