Gujarat Technological UniversityWinter 2023 examination

GTU 3150912 Signals and Systems Winter 2023 Question Paper & PDF

B.E. · Electrical Engineering · Semester 5 · Subject code 3150912
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 10:30 AM – 1:00 PM
Questions
5 with internal choice
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9 of 25 questions on this paper were also asked in other years. 2 more are types of question GTU sets again with new data. Each is marked below with the years it appeared.See all 23 repeated 3150912 questions, most asked first

Q.1

14 Marks
(a)
3 marksAsked in 2 of 4 papers
Define a periodic continuous time and discrete time signal.

Also asked in Summer 2026 Q1a

(b)
4 marks
Give examples of continuous time and discrete time causal systems.
(c)
7 marksSame type asked in 4 of 4 papers
(
i)State whether the following system is linear and time-invariant? y(n)=u[n]2 Marks
ii)State whether the following system is causal, stable and memoryless ? y[n]=nu[n]

Also asked in Summer 2026 Q2c, Winter 2025 Q2c OR, Summer 2025 Q2c OR

Q.2

14 Marks
(a)
3 marksAsked in 2 of 4 papers
Define energy signal and power signal. Give an example of each type.

Also asked in Summer 2025 Q1a

(b)
4 marks

Write the equations for coefficients Cn and C-n of complex exponential Fourier series.

(c)
7 marks

Obtain the complex exponential Fourier series expansion of the signal x(t)=2+3cos 2πt +4 sin 3πt.

(c)
7 marks
Find the Fourier transform of the signum function sgn(t).

Q.3

14 Marks
(a)
3 marks
State and prove time shifting property of Fourier transform.
(b)
4 marksAsked in 2 of 4 papers
Find the Laplace transform of x(t)= tu(t).

Also asked in Summer 2026 Q4b

(c)
7 marks

Find the inverse Laplace transform of F(s)=(2s-1)/(s²+2s+1)

(a)
3 marks
State and prove time scaling property of Fourier transform.
(b)
4 marks
Find Fourier transform of x(t)= 10 sin ω0t.
(c)
7 marks

Find the Fourier transform of a rectangular pulse with amplitude A and width T.

Q.4

14 Marks
(a)
3 marksAsked in 3 of 4 papers
Define Z-transform and its ROC.

Also asked in Summer 2026 Q5a OR, Summer 2025 Q4a OR

(b)
4 marksAsked in 2 of 4 papers
State the properties of ROC of Z-transform.

Also asked in Winter 2025 Q5b

(c)
7 marks
Find the Z-transform of sin ωn u(n).
(a)
3 marks
State any three properties of Z-transform.
(b)
4 marks
Find the Z-transform of 0.5n u(n) + 0.33n u(n)
(c)
7 marksSame type asked in 3 of 4 papers
Find the inverse Z-transform of X(z)= z/(3z²-4z+1) for ROC |z|>1.

Also asked in Winter 2025 Q5b OR, Summer 2025 Q5b OR

Q.5

14 Marks
(a)
3 marksAsked in 3 of 4 papers
List the types of sensors.

Also asked in Summer 2026 Q5c, Winter 2025 Q5c OR

(b)
4 marksAsked in 3 of 4 papers
State and prove the sampling theorem.

Also asked in Winter 2025 Q3a, Summer 2025 Q3a OR

(c)
7 marks
Give an example of Arduino based minor project.
(a)
3 marksAsked in 2 of 4 papers
List the types of actuators.

Also asked in Summer 2026 Q5b

(b)
4 marks
Draw the spectra of sampled signal. Explain aliasing.
(c)
7 marksAsked in 3 of 4 papers
Explain interfacing of sensors and actuators with Arduino.

Also asked in Winter 2025 Q4b OR, Summer 2025 Q5c

More Signals and Systems papers

Questions repeat across sessions. Working through two or three papers shows you which topics GTU asks most.

Summer 202670 marks · 5 questions
Winter 202570 marks · 5 questions
Summer 202570 marks · 5 questions
Winter 202470 marks · 5 questions

Other Semester 5 subjects

BE Electrical

3150910
Electrical Machine- II
3150911
Power System- II
3150913
Disaster Management

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About this paper

Official Gujarat Technological University (GTU) examination paper for Signals and Systems (Winter 2023, B.E. · Electrical Engineering, Sem 5). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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