ECE · all questions

Signal Processing
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Q481

Open question

The unit step response y(t) of a linear system is defined as y(t) = (1 - 3e^-t + 3e^-2t)u(t)
For the system function, the frequency at which the forced response becomes zero is:

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Q482

Open question

The region of the z plane for which

\frac{z - a}{z + a} = 1 (Re a \neq = 0)

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Q483

Open question

Ideal frequency selective filters are

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Q484

Open question

Consider a real-valued base-band signal x(t), band limited to 10 kHz. The Nyquist rate for the signal

y (t) = x (t) x (1 + \frac{t}{2})

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Q485

Open question

The number of complex multiplications required to calculate N-point DFT using radix-2 FFT algorithm is

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Q486

Open question

Consider the signal x(t) = cos (2πf₀t). Its Hilbert transform is

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Q487

Open question

In the case of a random variable dealing with non-deterministic signals

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Q488

Open question

Laplace transform of the given signal x(t) = u(t - 2) is

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Q489

Open question

The Fourier transform of the function Sgn(t) defined in the Figure is
Signal Processing mcq question image

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Q490

Open question

If x_in(t) = sin(2

π

× 4000t) + 0.75sin(2

π

× 5000t +

\frac{π}{4}

) is sampled with F_s = 16000 Hz. Calculate X(0) if

X (m) = \sum_{n = 0}^{N - 1} x (n) e^{- \frac{j 2 π nm}{N}} .

When N = 8, where x(n) = x_in(nt_s)

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Q491

Open question

Consider the sequence x[n] = aⁿu[n] + bⁿu[n], where u[n] denotes the unit-step sequence and 0 < |a| < |b| < 1. The region of convergence (ROC) of the z-transform of x[n] is

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Q492

Open question

A signals m(t) with bandwidth 500 Hz is first multiplied by a signal g(t) where

g (t) = k = - \infty \sum \infty (- 1)^{k} δ (t - 0.5 \times 10^{- 4} k)

The resulting signal is then passed through an ideal low pass filter with bandwidth 1 kHz. The output of the low pass filter would be

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Q493

Open question

Two independent random signals X and Y are known to be Gaussian with mean values x₀ and y₀ and variance

σ_{x}^{2}

and

σ_{y}^{2} .

A signal Z = X - Y is obtained from them. The mean z₀, variance

σ_{z}^{2}

and p.d.f. p(z) of the signal Z are given by:

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Q494

Open question

Three analog signals, having bandwidth of 1200 Hz, 600 Hz and 600 Hz are sampled at their respective Nyquist rates, encoded with 12 bit words and time division multiplexed. The bit rate for the multiplexed signal is

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Q495

Open question

A stable Linear Time Invariant (LTI) system has a transfer function

H (s) = \frac{1}{s ^{2} + s - 6} .

To make this system causal it needs to be cascaded with another LTI system having a transfer function H₁(s). A correct choice for H₁(s) among the following option is

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Q496

Open question

A square wave is defined by

x (t) = ⎩ ⎨ ⎧ A, 0 < t < \frac{T _{0}}{2} \hfill - A, \frac{T _{0}}{2} < t < T_{0} \hfill

It is periodically extended outside this interval. What is the general coefficient a_n in the Fourier expansion of this wave?

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Signal Processingpractice.

Signal Processing
practice.