Q.1
14 Marks(a)
Explain the test signals.
(b)
Sketch signal x(t) = u(t+2) – u(t-2) + u(t+1) – u(t-1).
Gujarat Technological UniversityWinter 2025 examination
GTU 3150912 Signals and Systems Winter 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 10:30 AM – 1:00 PM
- Questions
- 5 with internal choice
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13 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 10 t + sin 20 t is periodic or not? If it is periodic then find its fundamental period.
Also asked in Summer 2025 Q2b
OR
(c)
Determine whether the system is
i)Linear
ii)causal,
iii)time-invariant(iv)
static .y(n)= an u(n)
Also asked in Summer 2026 Q2c, Summer 2025 Q2c OR, Winter 2023 Q1c
Q.3
14 Marks(b)
Explain the initial value and final value theorem.
(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 Summer 2025 Q3c
OR
(a)
Explain Aliasing and its effects and how to remove it
Also asked in Summer 2026 Q4c, Summer 2025 Q3a
(b)
Determine the Nyquist sampling rate and Nyquist sampling interval for x(t)=2sinc(100πt).
Also asked in Summer 2025 Q3b
(c)
Define convolution. Write properties of Convolution.
Q.4
14 Marks(a)
State and prove Time shifting and Linearity 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, Summer 2025 Q4b
(c)
Explain Time variant and Time invariant System with examples.
OR
(a)
Explain with linearity and time-shifting properties of the Fourier series.
(b)
Write a short note on Arduino and Interfacing of the sensors
Also asked in Summer 2025 Q5c, Winter 2023 Q5c OR
(c)
Find Fourier Series representation of half wave rectified sine wave.
Also asked in Summer 2025 Q4c OR
Q.5
14 Marks(b)
List the properties of the region of convergence (ROC) for the z-transform.
Also asked in Winter 2023 Q4b
OR
(b)
Determine the inverse Z-transform of the following X(z)
Also asked in Summer 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 (Winter 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.