Signal Processing MCQs with Answers 2027

Q361

A periodic signal x(t) has a trigonometric Fourier series expansion

x (t) = a_{0} + n = 1 \sum \infty (a_{n} cos n ω_{0} t + b_{n} sin n ω_{0} t)

If

x (t) = - x (- t) = - x (t - \frac{π}{ω _{0}}),

we can conclude that

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Q362

Open question

The transfer function of a linear system is the

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Q363

Open question

Match List-I with List-II and select the correct answer using the options given below:

List-I (Function)	List-II (Fourier Transforms)
a. $exp (- α t) u (t), α > 0$	1. $\frac{1}{( α + j 2 π f ) ^{2}}$
b. $exp (- α ∣ t ∣), α > 0$	2. $\frac{1}{α + j 2 π f}$
c. $texp (- α t) u (t), α > 0$	3. $δ (f - \frac{α}{t _{0}})$
d. $exp (j 2 π α t / t_{0})$	4. $\frac{2 α}{α ^{2} + ( 2 π f ) ^{2}}$

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Q364

Open question

The Fourier Transform of a function x(t) is X(f). The Fourier transform of

\frac{d x ( t )}{d t}

will be

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Q365

Open question

A finite duration discrete-time signal x(n) is obtained by sampling the continuous-time signal x(t) = cos(200πt) at sampling instant t = n/400, n = 0, 1, . . . , 7. The 8-point discrete Fourier transform (DFT) of x(n) is defined as

X [k] = n = 0 \sum 7 x [n] e^{\frac{- j π k n}{4}}, k = 0, 1, ....., 7

Which one of the following statements is true?

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Q366

Open question

In inverse DTFT, the . . . . . . . . is defined between -π to π because of the property.

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Q367

Open question

If random process X(t) and Y(t) are orthogonal then

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Q368

Open question

Consider a system whose input x and output y are related by the equation

y (t) = - \infty \int \infty x (t - τ) h (2 τ) d τ

where h(t) is shown in the graph
Which of the following four properties are possessed by the system?
BIBO: Bounded input gives a bounded output
Causal : The system is causal
LP : The system is low pass
LTI : The system is linear and time-invariant
Signal Processing mcq question image

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Q369

Open question

Which of the following is the correct statement?
The region of the convergence of z-transform of x[n] consists of the value of z for which x[n]r^-n is

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Q370

Open question

About the Fourier series expansion of a periodic function it can be said that

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Q371

Open question

A system which has a unique relationship between its input and output is called

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Q372

Open question

Laplace transform of the function v(t) shown in the figure is:
Signal Processing mcq question image

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Q373

Open question

Let x(t) be the input and y(t) be the output of a continuous time system. Match the system properties P₁, P₂ and P₃ with system relations R₁, R₂, R₃, R₄
Properties
P₁: Linear but NOT time-invariant
P₂: Time-invariant but NOT linear
P₃: Linear and time-invariant
Relations
R₁: y(t) = t²x(t)
R₂: y(t)= t|x(t)|
R₃: y(t) = |x(t)|
R₄: y(t) = x(t - 5)

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Q374

Open question

A system whose impulse response is zero outside of some finite interval is termed as

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Q375

Open question

For separating channels in FDM receivers

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Q376

Open question

The probability cumulative distribution function must be monotone and

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Q377

Open question

Given that x₁(t) = e^k₁tu(t) and x₂(t) = e^-k₂tu(t). Which one of the following gives their convolution?

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Q378

Open question

What is the magnitude square function of a normalized Butterworth filter to 1 rad/sec cut-off frequency as

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Q379

Open question

If F(s) and G(s) are the Laplace transform of f(t) and g(t), then their product F(s).G(s) = H(s), where H(s) is the Laplace transform of h(t), is defined as

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Q380

Open question

Which one of the following statements is correct for the given system?

y (n) = x^{2} (n) + \frac{1}{x ^{2} ( n - 1 )}

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