B.TechSemester 42021-22Signal SystemKEC403
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Signal System (KEC403) - AKTU Question Paper 2021-22

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 2021-22. 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:2021-22
University:AKTU / UPTU

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Questions Asked in 2021-22

Signal System (KEC403) — extracted question text

Section AAttempt all q u e s t i o n s i n b r i e f . 2*10 = 20
  • a
    Define a signal with example. 1
  • b
    Draw the signal u(n) – u(n-3). 1
  • c
    Check whether the given system is causal and Time variant y (t) = t.x(t). 1
  • d
    State Nyquist theorem. 5
  • e
    Determine the sufficient c ondition for the existence of CTFT. 3
  • f
    Find Z-Transform of the signal x(n) = ሺ1/2ሻ௡.𝑢(𝑛) and its ROC. 4
  • g
    Determine the fundamental period of the following, if the s ignal is periodic x(t) = cos(πt) + cos(2πt)
  • h
    State the expression of Convolution Integral. 2 (i) Compare CTFT and DTFT. 3 (j) Find the z trans form of u(n). 4
Section BAttempt any three o f t h e f o l l o w i n g : 10*3 = 30
  • a
    i) State and prove the freque ncy shifting theorem of CTFT. ii) Explain the principle of Linearity property corresponding to CTFT
  • b
    Consider x(t) = Cos (2π𝑓௢𝑡ሻ. Determine it is a power signal or energy signal
  • c
    Determine the even and odd c omponents of the following signals
    i) x(t) = cos (t) + sin (t) + cos (t). sin (t)
ii) x(n) = { 1,1,1,1,1}
  • d
    Find the Fourier transform of the signal given below: x(t) = 𝑒ି௔௧ 𝑢ሺ𝑡ሻ and sketch the magnitude and phase spectrum
  • e
    Using Fourier transfor m, find the convolution of
Section CAttempt any one p a r t o f t h e f o l l o w i n g : 10*1 = 10
  • a
    Find the inverse Lap lace of the following ሺ𝑺ା𝟒ሻሺ𝒔ି𝟏ሻ if the region of convergence is
  • b
    Using Laplace transform obtain the impulse response of the given second-order system
  • a
    Determine the Z transform of x(n) = cos(⍵on) u(n) and sketch the ROC
  • b
    Determine the inverse Z tr ansform of the following function ሺ𝒛ା𝟎.𝟒ሻሺ𝒛ି𝟎.𝟐ሻ ROC : |z|>0.4
  • a
    Explain and proof Par seval’s Theorem. 3
  • b
    Analyze the Discrete Time F ourier Transform of the following
  • a
    Implement the Convolution integral on the signals x(t) = e -2t u(t) and
  • b
    Implement the Convolution sum on the signals x(n) = an u(n) and h(n)
  • a
    State and prove the Sampli ng theorem and discuss the effect of under- sampling
  • b
    Explain reconstruction of signal from its samples using Int erpolation. 5

Question text is extracted from the official AKTU question paper PDF above. Check the original PDF for equations, diagrams and complete wording. Extracted: 2026-08-23.

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