Signal Processing MCQs with Answers 2027

Q161

A discrete-time signal x[n] = δ[n - 3] + 2δ[n - 5] has z-transform X(z). If Y(z) = X(-z) is the z-transform of another signal y[n], then

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Q162

Open question

For a periodic signal

v (t) = 30 sin 100 t + 10 cos 300 t + 6 sin (500 t + \frac{π}{4}),

the fundamental frequency in rad/s is

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Q163

Open question

The final value theorem is used to find the

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Q164

Open question

The impulse response h[n] of a linear time-invariant system is given by
h[n] = u[n + 3] + u[n - 2] - 2u[n - 7],
where u[n] is the unit step sequence. The above system is

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Q165

Open question

The inverse Laplace transform of the function

\frac{s + 5}{( s + 1 ) ( s + 3 )}

is

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Q166

Open question

If the Laplace transform of a signal y(t) is

Y (s) = \frac{1}{s ( s - 1 )},

then its final value is

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Q167

Open question

Specify the filter type if its voltage transfer function H(s) is given by

H (s) = \frac{K ( s ^{2} + 1 ω _{0}^{2} )}{s ^{2} + ( \frac{ω _{0}}{Q} ) s + ω _{0}^{2}}

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Q168

Open question

Input x(t) and output y(t) of an LTI system are related by the differential equation y"(t) - y'(t) - 6y(t) = x(t). If the system is neither causal nor stable, the impulse response h(t) of the system is

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Q169

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 options is

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Q170

Open question

A signal 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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Q171

Open question

Consider the differential equation

\frac{d x}{d t} = 10 - 0.2 x

with initial conduction x(0) = 1. The response x(t) for t > 0 is

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Q172

Open question

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

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Q173

Open question

The pole-zero pattern of a certain filter is shown in figure. The filter must be of the following type
Signal Processing mcq question image

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Q174

Open question

The ROC of z-transform of the discrete time sequence

x (n) = (\frac{1}{3})^{n} u (n) - (\frac{1}{2})^{n} u (- n - 1)

is

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Q175

Open question

It is desired to find three-tap causal filter which gives zero signal as an output to and input of the form

x [n] = c_{1} exp (- \frac{j π n}{2}) + c_{2} exp (\frac{j π n}{2}),

Where c₁ and c₂ are arbitrary real numbers. The desired three-tap filter is given by
h[0] = 1, h[1] = a, h[2] = b and h[n] = 0 for n < 0 or n > 2.
What are the values of the filter taps a and b if the output is y[n] = 0 for all n, when x[n] is as given above?

\xrightarrow{{x\left[ n \right]}}\boxed{\begin{array}{*{20}{c}} {n = 0} \\ \downarrow \\ {h\left[ n \right] = \left\{ {1,a,b} \right\}} \end{array}}\xrightarrow{{y\left[ n \right] = 0}}

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Q176

Open question

Let δ(t) denote the delta function. The value of the integral

- \infty \int \infty δ (t) cos (\frac{3 t}{2}) d t

is

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Q177

Open question

If a signal f(t) has energy E, the energy of the signal f(2t) is equal to

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Q178

Open question

The input-output relationship of a causal stable LTI system is given as
y[n] = αy[n - 1] + βx[n]. If the impulse response h[n] of this system satisfies the condition

n = 0 \sum \infty h [n] = 2,

the relationship between α and β is

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Q179

Open question

The bilateral Laplace transform of a function

f\left( t \right) = \left\{ {\matrix{ {1,} & {{\rm{if}}\,a \le t \le b} \\ 0 & {{\rm{otherwise}}} \\ } } \right.

is

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Q180

Open question

{a(n)} is a real-valued periodic sequence with a period N. x(n) and X(k) form N-point Discrete Fourier Transform (DFT) pairs. The DFT Y(k) of the sequence

y (n) = \frac{1}{N} r = 0 \sum N - 1 x (r) x (n + r)

is

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