B.TechSemester 42024-25Signal SystemBEC403

Signal System (BEC403) - AKTU Question Paper 2024-25

B.Tech · Semester 4 · Free PDF Download

This is the official AKTU Signal System Previous Year Question Paper for B.Tech Semester 4, academic session 2024-25. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech

Semester:Semester 4

Session:2024-25

University:AKTU / UPTU

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Questions Asked in 2024-25

Signal System (BEC403) — complete question paper · 70 marks · 3 Hours

Section AAttempt all questions in brief. 02 x 7 = 14

a
Define energy and power signals with examples
b
State and explain the properties of linear systems
c
What is convolution? Write its significance in LTI systems
d
Compare the Fourier series and the Fourier Transform
e
Define Region of Convergence (ROC) in Z-transform
f
Explain aliasing in the c ontext of sampling
g
What are eigenfunctions of LSI systems?

Section BAttempt any three of the following: 07 x 3 = 21

a
Define even and odd signal. Determine the even and odd compo nents of the signal: 𝑥ሺ𝑡ሻ ൌ 𝑐 𝑜 𝑠 ሺ𝑡ሻ ൅ 𝑠 𝑖 𝑛 ሺ𝑡ሻ ൅ 𝑐 𝑜 𝑠 ሺ𝑡ሻ ⋅ 𝑠 𝑖 𝑛 ሺ 𝑡 ሻ
b
An LTI system is described by differential equation: Find the impulse response of the system
c
Using Fourier transform, fi nd the convolution of the following signals
d
State and prove the time-shifting and frequency-shifting pro perties of the Z-transform. Illustrate each property with an example
e
Explain the reconstruction o f a signal from its samples using Interpolation

Section CAttempt any one part of the following: 07 x 1 = 07

a
Test the system defined by yሺtሻ ൌ t⋅ x ሺ t ሻ for the following properties: i. Linearity ii. Time-invariance iii. Causality
b
A signal 𝑥ሺ𝑡ሻ ൌ 𝑒ିହ௧𝑢ሺ𝑡ሻ is given. Determine whether it is an energy or
a
power signal, and determine its energy and power
a
Compute the Convolution integral on the signals 𝑥 ሺ 𝑡 ሻ ൌ 𝑒ିଷ௧ 𝑢ሺ𝑡ሻ and
b
A system has an impulse response given by
1
Determine the step response s(t) of the system
2
Check whether the system is BIBO stable and causal or not
a
Find the inverse Laplace of the following: ሺௌାସሻሺ௦ିଵሻ ; if the region of convergence is -4 < Re{s} < 1
b
Analyze the Discrete Time Four ier Transform of the following
a
Determine the Z transform of 𝑥ሺ𝑛ሻ ൌ 𝑠𝑖𝑛ሺ⍵଴𝑛ሻ 𝑢ሺ𝑛ሻ and sketch the ROC
b
Determine the inverse Z transf orm of the following function
a
State and prove the Sampling th eorem and discuss the effect of under- sampling
b
A continuous-time signal x(t) =cos(500πt)+sin(700πt) is sampled at a rate i. Determine whether aliasing will occur. ii. Justify your answer using the Nyquist criterion. iii. If aliasing occurs, compute the aliased frequency

Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.