Signal Processing MCQs with Answers 2027

Q121

A half-wave rectified sinusoidal waveform has a peak voltage of 10 V. Its average value and the peak value of the fundamental component are respectively given by

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Q122

Open question

Two sequences [a, b, c] and [A, B, C] are related as,

\left[ {\begin{array}{*{20}{c}} A \\ B \\ C \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 1&1&1 \\ 1&{W_3^{ - 1}}&{W_3^{ - 2}} \\ 1&{W_3^{ - 2}}&{W_3^{ - 4}} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} a \\ b \\ c \end{array}} \right]

where,

W_{3} = e^{i \frac{2 π}{3}} .

If another sequence [p, q, r] is derived as,

\left[ {\begin{array}{*{20}{c}} a \\ b \\ c \end{array}} \right] =

\left[ {\begin{array}{*{20}{c}} 1&1&1 \\ 1&{W_3^1}&{W_3^2} \\ 1&{W_3^2}&{W_3^4} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} 1&0&0 \\ 0&{W_3^2}&0 \\ 0&0&{W_3^4} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {A/3} \\ {B/3} \\ {C/3} \end{array}} \right]

then the relationship between the sequences [p, q, r] and [a, b, c] is

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Q123

Open question

The signal

cos (10 π t + \frac{π}{4})

is ideally sampled at a sampling frequency of 15 Hz. The sampled signal is passed through a filter with impulse response

(\frac{sin ( π t )}{π τ}) cos (40 π t - \frac{π}{2}) .

The filter output is

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Q124

Open question

The voltage across an impedance in a network is V(s) = Z(s). I(s), where V(s), Z(s) and I(s) are the Laplace transform of the corresponding time functions v(t), z(t) and i(t). The voltage v(t) is

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Q125

Open question

The z-transform X[z] of a sequence x[n] is given by

X [z] = \frac{0.5}{1 - 2 z ^{- 1}} .

It is given that the region of convergence of X[z] includes the unit circle. The value of x[0] is

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Q126

Open question

A linear time invariant system has an impulse response e^st, for t > 0. If initial conditions are 0 and the input is e^3t, the output for t > 0 is

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Q127

Open question

The 4-point discrete Fourier Transform (DFT) of a discrete time sequence {1, 0, 2, 3} is

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Q128

Open question

Let x(t) and y(t) (with Fourier transforms X(f) and Y(f) respectively) be related as shown in the figure. Then Y(f) is
Signal Processing mcq question image

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Q129

Open question

If

s L [f (t)] = \frac{ω}{( s ^{2} + ω ^{2} )},

then the value of

t \to \infty lim f (t)

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Q130

Open question

The transfer function of a system is given by

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

The impulse response of the syste is
(* denotes convolution, and u(t) is unit step function)

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Q131

Open question

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 (\frac{t - π}{ω _{0}}),

we can conclude that

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Q132

Open question

If

F (s) = L ∣ f (t) ∣ = \frac{K}{( s + 1 ) ( s ^{2} + 4 )},

then

t \to \infty lim f (t)

is given by

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Q133

Open question

The input to a channel is a bandpass signal. It is obtained by linearly modulating a sinusoidal carrier with a single-tone signal. The output of the channel due to this input is given by

y (t) = (\frac{1}{100}) cos (100 t - 10^{- 6}) cos (10^{6} t - 1.56)

The group delay (t_g) and the phase delay (t_p) in seconds, of the channel are

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Q134

Open question

Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t - 2). The transfer function of the system should be

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Q135

Open question

Let y[n] denote the convolution of h[n] and g[n], where h[n] =

(\frac{1}{2})^{n}

u[n] and g[n] is a causal sequence. If y[0] = 1 and y[1] =

\frac{1}{2},

then g[1] equals

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Q136

Open question

The trigonometric Fourier series of an even function of time does not have

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Q137

Open question

The pole-zero diagram of a causal and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity 4. The impulse response of the system is h[n]. If h[0] = 1, we can conclude
Signal Processing mcq question image

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Q138

Open question

Letx(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, P₃, P₄.
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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Q139

Open question

The z-transform of the following real exponential sequence
x(nT) = aⁿ, nT ≥ 0
= 0, nT < 0, a > 0

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Q140

Open question

Consider a single input single output discrete-time system with x[n] as input and y[n] as output, where the two are related as

y\left[ n \right] = \left\{ {\matrix{ {n\left| {x\left[ n \right]} \right|,} & {{\rm{for}}\,0 \le n \le 10} \\ {x\left[ n \right] - x\left[ {n - 1} \right],} & {{\rm{otherwise}}} \\ } } \right.

Which one of the following statements is true about the system?

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