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Previous year question hub

Signals, Sampling and Transforms - Signals and Systems - Instrumentation Engineering Previous Year Questions

Practice Signals, Sampling and Transforms - Signals and Systems - Instrumentation Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

21Papers
18Years
92Questions
1Topics

Signals, Sampling and Transforms question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Signals, Sampling and Transforms. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 59 64.1%
Medium 32 34.8%
Hard 1 1.1%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 70 76.1%
Numerical Answer Type (NAT) 19 20.7%
Fill in the blanks 2 2.2%
MSQ 1 1.1%

Subject weightage

Top subjects by unique question coverage.

Instrumentation Engineering
92 Qs

Most asked topics

Top topics across the included previous year papers.

Signals and Systems
92 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Signals, Sampling and Transforms
92 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Instrumentation Engineering (IN) 2026
4 Qs
Instrumentation Engineering (IN) 2025
3 Qs
Instrumentation Engineering (IN) 2024
6 Qs
Instrumentation Engineering (IN) 2023
4 Qs
Instrumentation Engineering (IN) 2022
4 Qs
Instrumentation Engineering (IN) 2021
3 Qs
Instrumentation Engineering (IN) 2020
5 Qs
Instrumentation Engineering (IN) 2019
4 Qs
Instrumentation Engineering (IN) 2018
6 Qs
Instrumentation Engineering (IN) 2017
7 Qs
Instrumentation Engineering (IN) 2016
5 Qs
Instrumentation Engineering (IN) 2014
2 Qs
Instrumentation Engineering (IN) 2013 [Session 1]
4 Qs
Instrumentation Engineering (IN) 2013 [Session 2]
4 Qs
Instrumentation Engineering (IN) 2013 [Session 3]
4 Qs
Instrumentation Engineering (IN) 2013 [Session 4]
4 Qs
Instrumentation Engineering (IN) 2011
7 Qs
Instrumentation Engineering (IN) 2010
5 Qs
Instrumentation Engineering (IN) 2009
3 Qs
Instrumentation Engineering (IN) 2008
4 Qs
Instrumentation Engineering (IN) 2007
4 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Instrumentation Engineering (IN) 202620264View paper
Instrumentation Engineering (IN) 202520253View paper
Instrumentation Engineering (IN) 202420246View paper
Instrumentation Engineering (IN) 202320234View paper
Instrumentation Engineering (IN) 202220224View paper
Instrumentation Engineering (IN) 202120213View paper
Instrumentation Engineering (IN) 202020205View paper
Instrumentation Engineering (IN) 201920194View paper
Instrumentation Engineering (IN) 201820186View paper
Instrumentation Engineering (IN) 201720177View paper
Instrumentation Engineering (IN) 201620165View paper
Instrumentation Engineering (IN) 201420142View paper
Instrumentation Engineering (IN) 2013 [Session 1]20134View paper
Instrumentation Engineering (IN) 2013 [Session 2]20134View paper
Instrumentation Engineering (IN) 2013 [Session 3]20134View paper
Instrumentation Engineering (IN) 2013 [Session 4]20134View paper
Instrumentation Engineering (IN) 201120117View paper
Instrumentation Engineering (IN) 201020105View paper
Instrumentation Engineering (IN) 200920093View paper
Instrumentation Engineering (IN) 200820084View paper
Instrumentation Engineering (IN) 200720074View paper

All Signals, Sampling and Transforms previous year questions

Practice every matching question in batches of 20, with every available option.

1
2009 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2009
The fundamental period of x(t) = 2 sin 2π t + 3 sin 3π t , with t expressed in seconds, is
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2
2009 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2009
For input \(x(t)\), an ideal impulse sampling system produces the output \(y(t) = \sum_{k=-\infty}^{\infty} x(kT) \delta(t-kT)\) where \(\delta(t)\) is the Dirac delta function. The system is
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3
2009 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2009
The root mean squared value of \(x(t) = 3 + 2 \sin(t) \cos(2t)\) is
Open complete paper
4
2010 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2010
\( u(t) \) represents the unit step function. The Laplace transform of \( u(t-\tau) \) is
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5
2010 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2010
\( f(x) \), shown in the adjoining figure is represented by \( f(x) = a_0 + \sum_{n=1}^{\infty} (a_n \cos(nx) + b_n \sin(nx)) \). The value of \( a_0 \) is
Open complete paper
6
2010 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2010
A signal with frequency components 50 Hz, 100 Hz and 200 Hz only is sampled at 150 samples/s. The ideally reconstructed signal will have frequency component(s) of
Open complete paper
7
2010 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2010
The integral \(\int_{-\infty}^{\infty} \delta(t - \pi/6) 6 \sin(t) dt\) evaluates to
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8
2010 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2010
4-point DFT of a real discrete-time signal \(x[n]\) of length 4 is given by \(X[k], n = 0, 1, 2, 3\) and \(k = 0, 1, 2, 3\). It is given that \(X[0] = 5, X[1] = 1+j1, X[2] = 0.5, X[3]\) and \(x[0]\) respectively are
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9
2011 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2011
Consider the signal \(x(t) = \begin{cases} e^{-t}, & t \geq 0 \\ 0, & t < 0 \end{cases}\). Let \(X(\omega)\) denote the Fourier transform of this signal. The integral \(\frac{1}{2\pi} \int_{-\infty}^{\infty} X(\omega) d\omega\) is
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10
2011 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2011
The continuous-time signal \(x(t) = \sin \omega_0 t\) is a periodic signal. However, for its discrete-time counterpart \(x[n] = \sin \omega_0 n\) to be periodic, the necessary condition is
Open complete paper
11
2011 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2011
Consider a periodic signal \(x(t)\) as shown below. It has a Fourier series representation \(x(t) = \sum_{k=-\infty}^{\infty} a_k e^{j(2\pi/T)kt}\). Which one of the following statements is TRUE?
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12
2011 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2011
The integral \(\frac{1}{\sqrt{2\pi}} \int_{-\infty}^{\infty} t^2 e^{-t^2/2} \delta(1-2t) dt\) is equal to
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13
2011 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2011
The continuous time signal \(x(t) = \cos(100\pi t) + \sin(300\pi t)\) is sampled at the rate 100 Hz to get the signal \(x_s(t) = \sum_{n=-\infty}^{\infty} x(nT_s) \delta(t - nT_s)\), \(T_s = sampling period\). The signal \(x_s(t)\) is passed through an ideal low pass filter with cutoff frequency 100 Hz. The output of the filter is proportional to
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14
2011 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2011
A square wave (amplitude ±10 mV, frequency 5 kHz, duty cycle 50%) is passed through an ideal low-pass filter with pass-band gain and cut-off frequency of 0 dB and 10 kHz respectively. The filtered signal is subsequently “buried” additively into a zero-mean noise process of one-sided power-spectral density (PSD) of 25 pW Hz⁻¹ up to a frequency of 2 MHz. The PSD of the noise is assumed to be zero beyond 2 MHz. The signal-to-noise ratio of the output is
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15
2011 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2011

Choose the word from the options given below that is most nearly opposite in meaning to the given word: Frequency

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16
2013 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2013 [Session 1]
For a periodic signal $v(t) = 30\sin(100t) + 10\cos(300t) + 6\sin(500t + \pi/4)$, the fundamental frequency in rad/s is
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17
2013 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2013 [Session 1]

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is

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18
2013 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2013 [Session 1]

The Laplace Transform representation of the triangular pulse shown below is

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19
2013 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2013 [Session 1]
Statement: You can always give me a ring whenever you need.
Which one of the following is the best inference from the above statement?
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20
2013 · Instrumentation Engineering · Signals and Systems · Signals, Sampling and Transforms
Instrumentation Engineering (IN) 2013 [Session 2]
For a periodic signal \( v(t) = 30\sin 100t + 10\cos 300t + 6\sin(500t + \pi/4) \), the fundamental frequency in rad/s is
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Showing 20 of 83 questions