English
Hindi

Question

Download Solution PDF

The given mathematical representation belongs to:

y(t) = x(t - T)

This question was previously asked in
DFCCIL Executive S&T 29 Sept 2021 Official Paper
Download PDF Attempt in App
View all DFCCIL Executive Papers >
  1. time multiplication
  2. time shifting
  3. time scaling
  4. time reversal

Answer (Detailed Solution Below)

Option 2 : time shifting
Free Tests
View all Free tests >
Free
RRB NTPC ASM CBAT Psycho Full Practice Set 1 (Easy to Moderate)
165 Qs. 130 Marks 48 Mins
Start Now

Detailed Solution

Download Solution PDF

Time-shifting property: When a signal is shifted in time domain it is said to be delayed or advanced based on whether the signal is shifted to the right or left.

For example:

Download Solution PDF
Latest DFCCIL Executive Updates

Last updated on Jun 28, 2025

-> DFCCIL Executive exam date 2025 has been released. DFCCIL exam date is July 10 & 11.

-> DFCCIL Executive city intimation slip has been released. 

-> DFCCIL admit card 2025 for Executives will be released on July 7.

->  DFCCIL Executive Recruitment 2025 Correction window is open from 31st March, to 4th April 2025.

-> Candidates can make corrections in their application form, if they have made any mistake. There will be 100/- fee for correction in form.

-> DFCCIL Executive Recruitment 2025 application deadline has been extended.

-> Eligible and Interested candidates had applied from 18th January 2025 to 22nd March 2025.  

-> A total of 175 Vacancies have been announced for multiple posts like Executive (Civil, Electrical, Signal and Telecommunication).

-> Candidates who will get a successful selection under the DFCCIL Recruitment 2025 for the Executive selection process will get a salary range between Rs. 30,000 to Rs. 1,20,000.

-> Candidates must refer to the DFCCIL Executive Previous Year Papers to prepare well for the exam.

Exams Tests Super Practice

More Properties of Fourier Transform Questions

Q1.The Laplace transform of x(t) is \(\sqrt{\frac{2}{s-3}}\).  Then Laplace transform of e−6tx(t) is :
Q2.Which type of property is shown by the following function. L{K f(t)} = K F(s)
Q3.Let x1(t) = e-tu(t) and x2(t) = u(t) - u(t - 2), where u(⋅) denotes the unit step function. If y(t) denotes the convolution of x1(t) and x2(t), then \(\displaystyle \lim_{t\rightarrow\infty}y(t)=\) __________ (rounded off to one decimal place).
Q4.The given mathematical representation belongs to: y(t) = x(t - T)
Q5.The Fourier transform of x*[-n] is
Q6.If x(t) ↔ X(f) denotes a Fourier transform (FT) pair, \(\Pi \left(\dfrac{t}{T}\right)\) denotes a rectangular pulse of width T and '⋆' denotes the convolution operation, then the FT of the signal \(x(t)=\Pi \left(\dfrac{t}{T}\right) * \Pi \left(\dfrac{t}{T}\right)\) is
Q7.Let z(t) be the output of the first system and the input to the second system in the cascade. Find the output y(t).
Q8.Fourier transform of a function f(at) is given by
Q9.Consider Fourier representation of continuous and discrete-time systems. The complex exponentials (i.e., signals), which arise in such representation, have
Q10.Consider the following transfer functions: 1. \(\frac{1}{{j\omega + 1}}\) 2. \(\frac{1}{{{{\left( {j\omega + 1} \right)}^2}}}\)  3. \(\frac{1}{{\left( {j\omega + 1} \right)\left( {j\omega + 2} \right)}}\)  The transfer functions which have a linear phase are:

More Fourier Transform Questions

Q1.The Fourier Transform of an real and even function results in:
Q2.Sinc pulse shaping is derived from the Fourier Transform of a _______ function.
Q3.The Laplace transform of x(t) is \(\sqrt{\frac{2}{s-3}}\).  Then Laplace transform of e−6tx(t) is :
Q4.Which one of the following is the correct relation ? (a > 0) 
Q5.Which type of property is shown by the following function. L{K f(t)} = K F(s)
Q6.In the table shown below, match the signal type with its spectral characteristics. Signal type Spectral characteristics I. Continuous, aperiodic a. Continuous, aperiodic II. Continuous, periodic b. Continuous, periodic III. Discrete, aperiodic c. Discrete, aperiodic IV. Discrete, periodic d. Discrete, periodic
Q7.The Fourier transform 𝑋(πœ”) of \(\rm x(t)=e^{-t^2}\) is Note: \(\rm \int_{-\infty}^{\infty}e^{-y^2}dy=\sqrt{\pi}\)
Q8.Let π‘š(𝑑) be a strictly band-limited signal with bandwidth 𝐡 and energy 𝐸. Assuming πœ”0 = 10𝐡, the energy in the signal π‘š(𝑑) cos πœ”0𝑑 is 
Q9.A signal π‘₯(𝑑) is band-limited between 100 Hz and 200 Hz. A signal 𝑦(𝑑) is related to π‘₯(𝑑) as follows: 𝑦(𝑑) = π‘₯(2𝑑 − 5) The statement that is always true is______
Q10.Which symmetry does the Fourier transform of a real valued time signal contain?
Suggested Test Series
View All >
DFCCIL Executive 2025 Mock Test
576 Total Tests with 3 Free Tests
Start Free Test
AE & JE Civil Engg. Exams Previous Year Papers Mock Test
469 Total Tests with   3 Free Tests
Start Free Test

More Signals and Systems Questions

Q1.The Fourier Transform of an real and even function results in:
Q2.Sinc pulse shaping is derived from the Fourier Transform of a _______ function.
Q3.What type of distortion occurs if a signal that contains frequency components up to 15 kHz is sampled using 20 kHz?
Q4.Which one of the following systems described by the following input-output relations is time invariant ? 
Q5.The equation for voltage waveform v(t) shown below is (where u(t) is unit step input) :
Q6.A continuous-time signal x(t) is defined as : \(x(\mathrm{t})=\left\{\begin{array}{cc} 5 & -2 \leq \mathrm{t} \leq 2 \\ 0 & \text { otherwise } \end{array}\right.\) The energy of signal x(t) is : 
Q7.If Z(un) = f(z), then Z(a − nun) (where Z denotes z-transform) equals to :
Q8.The Laplace transform of x(t) is \(\sqrt{\frac{2}{s-3}}\).  Then Laplace transform of e−6tx(t) is :
Q9.Which one of the following is the correct relation ? (a > 0) 
Q10.What is the formula of finding the final value of any time varying function f(t)?
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright Β© 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti joy mod apk teen patti party teen patti master 2023 teen patti club apk