B.TechSemester 32022-23Basic Signals SystemsKEE-303
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Basic Signals Systems (KEE-303) - AKTU Question Paper 2022-23

B.Tech · Semester 3 · Free PDF Download

This is the official AKTU Basic Signals Systems Previous Year Question Paper for B.Tech Semester 3, academic session 2022-23. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:B.Tech
Semester:Semester 3
Session:2022-23
University:AKTU / UPTU

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Questions Asked in 2022-23

Basic Signals Systems (KEE-303) — complete question paper

Section AAttempt all questions in brief. 2 x 10 = 20
  • a
    Differentiate between an ener gy signal and power signal, give a n e x a m p l e f o r both
  • b
    What are standard signals? Give the relations between unit ste p and unit ramp signals
  • c
    State and prove time Shifti ng of Fourier Transform
  • d
    Find the Fourier Transform of the signal, )2()( 3   tuetx t
  • e
    What is meant by Region of Conve rgence in Laplace Transform?
  • f
    Define transfer function of a system
  • g
    Find the Z-Transform of the sequence given as
  • h
    What will be the location of the poles in the case of stable s ystem, in z-domain? (i) Discuss the advantages of state space analysis in comparison w ith the transfer function approach. (j) List the properties of state transition matrix
Section BAttempt any three of the following: 10x3=30
  • a
    Differentiate between the fol lowing with suitable examples (i) Linear system and non-linear system (ii) Causal and non-causal system
  • b
    ( i ) What are the conditions to be satisfied for the existence of Fo urier series of a periodic signal? (ii) Derive the Fourier coefficients of the trigonometric Fourier series
  • c
    (i) State and prove initial valu e theorem for Laplace Transform. (ii) Consider the transfer function of a network given by:  ssss ssssZ . Find the initial and final value of the function
  • d
    Discuss the properties of Regi on of Convergence (ROC) of z-transform
  • e
    A network is characterized by the following state space equations
    ;
Obtain (i) Transfer Function of the system, )(
(iii) State Transition Matrix
Section CAttempt any one part of the following: 10x1=10
  • a
    (i) Express the signal 𝑥ሺ𝑡ሻ shown in Fig. 1 in terms of unit ramp and unit step function. Fig. 1 (ii) Find the even and odd part of the signal; x(t)
  • b
    (i) Develop the electrical analogous c ircuit of the system shown in Fig. 2 using force-voltage analogy. Assuming wheels are frictionless (i.e. 𝐷ଵ ൌ𝐷 ଷ ൌ0 ). Fig. 2 (ii) Write down the differential equations of the dynamic system
  • a
    A continuous time periodic signal is given as (i) Calculate the fundamental frequency 𝜔଴ and the Fourier series coefficients 𝑎௞ such that 𝑥ሺ𝑡ሻ ൌ ∑ 𝑎௞𝑒௝௞ఠబ௧ஶ (ii) Draw the magnitude and phase spectrum
  • b
    (i) Determine the time domain signals corresponding to the following Fourier Transforms jwjw (ii) For the system whose transfer function is given as )()(  jwjwX jwYjwH Find the system response for the input tetx 2)( 
  • a
    (i) Derive the relation between Continuous Time Fourier Transf orm (CTFT) and Laplace Transform. (ii) Find the unilateral Laplace transform of the signal shown in Fig. 3. Fig. 3
  • b
    Solve for i(t) in circuit in Fig.4 which 3F capacitor is initi ally charged to 20V, the 6 F capacitor to 10V, and the switch is closed at t=0. Also draw the transformed circuit. Fig.4
  • a
    Using long division method, deter mine the inverse z-transform of the function zX with ROC : 2
  • b
    Determine the impulse response of the Discrete Time system
  • a
    A system is described by ௗ௧మ ൅3 𝑦ሺ𝑡ሻ ൌ6 𝑢ሺ𝑡ሻ,Represent the system in state space, in phase variable form
  • b
    Obtain output response, y(t) of t he system described by the state equations if the input is unit step function 1െ 1ቃ and

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.

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