ECE · all questions

Signal Processing
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Q381

Consider a sequence x(n) = [2, 4, 6, 8, 0, 1, 3, 5, 7, 9]. Down-sample the sequence by 3 and then up-sample by 2. The resulting sequence is:

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Q382

A discrete time system has impulse response h(n) = aⁿu(n + 2), |a| < 1. Which one of the following statements is correct? The system is

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Q383

A periodic function satisfies Dirichlet's conditions. This implies that the function

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Q384

What is the Laplace transform of x(t) = -e^2tu(t) * tu(t)?

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Q385

Transient signals can be observed using

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Q386

Consider a signal x(t) = 4cos(2t/3) + 8sin(0.5t) + 7sin(t/3 - π/6). Calculate the fundamental periodic.

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Q387

The LTI system with h(t) = e^-t, -∞ < t < ∞ is

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Q388

Digital filters have . . . . . . . . and are best suited for . . . . . . . . phase.

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Q389

The response of a Gaussian random process applied to a stable linear system is:
1. A Gaussian random process
2. Not a Gaussian random process
3. Completely specified by its mean and auto covariance functions
Which of the above statements is/are correct?

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Q390

A rectangular pulse of duration T is applied to a filter matched to this input. The output of the filter is a

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Q391

The output y(t) of a continues-time system S for the input x(t) is given by?

y (t) = - \infty \int t x (λ) d λ

Which one of the following is correct?

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Q392

Fourier transform of te^-atu(t), (Where, a > 0, u(t) is the Unit step function) is

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Q393

Consider the signal

X (t) = {2 cos (t) + cos (2 t); t < 0 \hfill 2 sin (t) + sin (2 t); t ⩽ 0 \hfill

The signal X(t) is

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Q394

The transfer function of a zero-order hold is

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Q395

A random variable z, has a probability density function f(z), where f(z) = e^-z 0 ≤ z ≤ ∞, the probability of 0 ≤ z ≤ 2 will be approximately

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Q396

A signal m(t) band-limited to 3 kHz is sampled at a rate

33 \frac{1}{3} %

higher than the Nyquist rate. The maximum acceptable error in the sample amplitude is 0.5% of the peak amplitude m_p. The quantized samples are binary coded, then the minimum bandwidth of a channel required to transmit the encoded binary signal will be:

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Q397

Which of the following schemes of system realization uses separate delay for input and output samples?

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Q398

Consider a discrete random variable assuming finitely many values. The cumulative distribution function of such a random variable is

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Q399

The relationship between the input x(t) and the output y(t) of a system is

\frac{d ^{2} y}{d t ^{2}} = x (t - 2) u (t - 2) + \frac{d ^{2} x}{d t ^{2}}

The transfer function of the system is

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Q400

A signal g(t) = A then g(t) is a

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