Gujarat Technological UniversitySummer 2026 examination

GTU 3150912 Signals and Systems Summer 2026 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 2:30 PM – 5:00 PM
Questions
5 with internal choice
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7 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 with a mathematical equation.

Also asked in Winter 2023 Q1a

(b)
4 marks

Write an equation for continuous time energy signal & power signal. Prove following.

i)The power of the energy signal is zero over infinite time.
ii)The energy of the power signal is infinite over infinite time
(c)
7 marks

Define even and odd components of signal x(t)=cos (𝜔0𝑡 + 𝜋 3 ) 𝑎𝑛𝑑 show that x(t) is the composition of its even and odd component.

Q.2

14 Marks
(a)
3 marks
What is convolution? Write the convolution integral and sum formulae.
(b)
4 marks
Sketch the following signals.
i)u(t+4) u(-t+4)
ii)r(-t) u(t+2)
(c)
7 marksSame type asked in 4 of 4 papers

Prove the following system y(n) is dynamic, causal, non-linear and time- invariant. y(n) = x(n) x(n-6).

Also asked in Winter 2025 Q2c OR, Summer 2025 Q2c OR, Winter 2023 Q1c

(c)
7 marks

Define stable and unstable systems. The system given below equation h(t) is stable or unstable. h(t) = 1 𝑅𝐶 𝑒−𝑡/𝑅𝐶𝑢(𝑡).

Q.3

14 Marks
(a)
3 marks

Write the conditions under which any periodic waveform is expressed using Fourier series.

(b)
4 marksSame type asked in 3 of 4 papers
Find the Fourier transform of x(t) = t𝑒−𝑎𝑡𝑢(𝑡).

Also asked in Winter 2025 Q4b, Summer 2025 Q4b

(c)
7 marks

State and prove time shifting and frequency shifting properties of Fourier transform.

(a)
3 marks
State advantages and limitations of Laplace transforms.
(b)
4 marks
Find Z – transform of y(n) = x(n-1) u(n).
(c)
7 marks
State and prove linearity and time-scaling properties of Laplace transform.

Q.4

14 Marks
(a)
3 marksAsked in 2 of 4 papers
Find the Z-transform of the unit step sequence u(n).

Also asked in Winter 2025 Q5a

(b)
4 marksAsked in 2 of 4 papers
Find Laplace transform and its ROC for x(t0 = t u(t).

Also asked in Winter 2023 Q3b

(c)
7 marksAsked in 3 of 4 papers
What is aliasing? When does it occur and how can it be avoided?

Also asked in Winter 2025 Q3a OR, Summer 2025 Q3a

(a)
3 marks
Write an equation of the exponential Fourier series with its coefficients.
(b)
4 marks
Perform convolution of x(t) = t u(t); h(t) = t u(t)
(c)
7 marks

Explain the Zero-order hold and First-order hold methods to reconstruct the signals.

Q.5

14 Marks
(a)
3 marks
Write the properties of the Impulse function.
(b)
4 marksAsked in 2 of 4 papers
Explain the different types of Actuators.

Also asked in Winter 2023 Q5a OR

(c)
7 marksAsked in 3 of 4 papers
What are the different types of sensors commonly used in IoT applications?

Also asked in Winter 2025 Q5c OR, Winter 2023 Q5a

(a)
3 marksAsked in 3 of 4 papers
Define Z-transform. What is the condition for Z-transform to exist?

Also asked in Summer 2025 Q4a OR, Winter 2023 Q4a

(b)
4 marks
What are the effects of under-sampling of a signal?
(c)
7 marks
Describe how an Arduino-based system operates with a suitable example.

More Signals and Systems papers

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

Winter 202570 marks · 5 questions
Summer 202570 marks · 5 questions
Winter 202470 marks · 5 questions
Summer 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 (Summer 2026, 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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