Q.1
14 Marks(b)
Explain the classification of signals
Gujarat Technological UniversitySummer 2025 examination
GTU 3150912 Signals and Systems Summer 2025 Question Paper & PDF
B.E. · Electrical Engineering · Semester 5 · Subject code 3150912
- Total
- 70 marks
- To pass
- 23 marks (33%)
- Duration
- 2.5 Hours 2:30 PM – 5:00 PM
- Questions
- 5 with internal choice
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12 of 25 questions on this paper were also asked in other years. 5 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.2
14 Marks(b)
If signal cos(13πt)+ 2sin(4πt) is periodic or not? If it is periodic then find its fundamental period.
Also asked in Winter 2025 Q2b
OR
(c)
Determine whether the system is
i)Linear
ii)causal,
iii)time -invariant(iv)
stable .y(n)=nx(n)
Also asked in Summer 2026 Q2c, Winter 2025 Q2c OR, Winter 2023 Q1c
Q.3
14 Marks(a)
Explain Aliasing and its effects and how to remove it.
Also asked in Summer 2026 Q4c, Winter 2025 Q3a OR
(b)
Determine the Nyquist sampling rate and Nyquist sampling interval for x(t)=2sinc(100πt).
Also asked in Winter 2025 Q3b OR
(c)
Find the convolution of the following sequences:
X(n)=3 δ(n+1)-2δ(n)+ δ(n-1)+4δ(n-2) h(n)= 2 δ(n-1)+5δ(n-2)+3 δ(n-3)
Also asked in Winter 2025 Q3c
OR
(b)
Compute convolution: y(n)=x(n)*h(n), x(n)={1,1, 0 ,1,1}.0 is mid point,h(n)={1,- 2,-3, 4}4 is mid point.
(c)
Define convolution and explain the initial value and final value theorem.
Q.4
14 Marks(a)
State and prove Time shifting and Duality properties of continuous time Fourier transform.
(b)
Write modulation property of Fourier Transform. Use frequency differentiation property to find the Fourier Transform of X(t)=t e-at u(t).
Also asked in Summer 2026 Q3b, Winter 2025 Q4b
(c)
find the Fourier Transform of x(t) = e−2t cos 5t u(t)
OR
(a)
Define Z-transform. Explain region of convergence.
Also asked in Summer 2026 Q5a OR, Winter 2023 Q4a
(b)
Explain the trigonometric Fourier series.
(c)
Find Fourier Series representation of full wave rectified sine wave.
Also asked in Winter 2025 Q4c OR
Q.5
14 Marks(a)
Explain Fourier series with any two properties
(b)
Find the Z-transform of the following signals.
1x[n] = u(-n-2)
2x[n] = an-2u[n -2]
(c)
Write a short note on Arduino and Interfacing of the sensors and actuators with Arduino.
Also asked in Winter 2025 Q4b OR, Winter 2023 Q5c OR
OR
(b)
Determine the inverse Z-transform of the following X(z)
Also asked in Winter 2025 Q5b OR, Winter 2023 Q4c OR
More Signals and Systems papers
Questions repeat across sessions. Working through two or three papers shows you which topics GTU asks most.
Other Semester 5 subjects
BE Electrical
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About this paper
Official Gujarat Technological University (GTU) examination paper for Signals and Systems (Summer 2025, 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.