Signals And Systems (Quiz-3)

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Suddm.kgp
S
Suddm.kgp
Community Contributor
Quizzes Created: 2 | Total Attempts: 705
| Attempts: 235
SettingsSettings
Please wait...
  • 1/5 Questions

    The convolution process associated with the Laplace Transform, in time domain results into

    • Simple multiplication in complex frequency domain
    • Simple division in complex frequency domain
    • Simple multiplication in complex time domain
    • Simple division in complex time domain
Please wait...
About This Quiz

This quiz, titled 'Signals and Systems (Quiz-3)', assesses understanding of signal delays, LTI system responses, system stability, convolution in Laplace Transform, and Z-plane ROC implications. It's essential for learners in signal processing and electrical engineering.

Signals And Systems (Quiz-3) - Quiz

Quiz Preview

  • 2. 

    An LTI system with rational system function having poles at -19, -6 and -1 and ROC is on the right side of the rightmost pole. The system is

    • Causal-Unstable

    • Non-causal-stable

    • Causal-stable

    • Non-causal-unstable

    Correct Answer
    A. Causal-stable
    Explanation
    The given system has poles at -19, -6, and -1. For a system to be causal, all the poles must be in the left half of the complex plane. Since the poles in this system are all negative, the system is causal. Additionally, the system is stable because the region of convergence (ROC) is on the right side of the rightmost pole. Therefore, the correct answer is causal-stable.

    Rate this question:

  • 3. 

    ROC in Z plane excludes unity circle, it signifies….

    • Z transform converges but Fourier transform does not converge

    • Fourier transform converges but Z transform does not converge

    • Both Fourier and Z transform converge

    • Both Fourier and Z transform do no converge

    Correct Answer
    A. Z transform converges but Fourier transform does not converge
    Explanation
    The statement "ROC in Z plane excludes unity circle" indicates that the region of convergence for the Z-transform does not include the unit circle in the complex plane. This implies that the Z-transform converges for certain values of the complex variable z, but not for points on the unit circle. On the other hand, the statement does not provide any information about the convergence of the Fourier transform. Therefore, the correct answer is that the Z-transform converges but the Fourier transform does not converge.

    Rate this question:

  • 4. 

    An LTI system’s transfer function is represented by (1/s). If unit step signal is applied at the input of this system, corresponding output will be

    •  Sinc function 

    • Cosine function  

    • Unit impulse

    • Unit ramp function

    Correct Answer
    A. Unit ramp function
    Explanation
    The transfer function of an LTI system is given by (1/s), which represents a first-order integrator. When a unit step signal is applied at the input of this system, the output will be a unit ramp function. This is because the integral of a unit step function is a ramp function. Therefore, the correct answer is the unit ramp function.

    Rate this question:

  • 5. 

        A signal x(t) is delayed by T time, corresponding ROC in the S – plane will shift by

    • Exponential (-sT)

    • Exponential (sT)

    • T

    • 0

    Correct Answer
    A. 0
    Explanation
    When a signal x(t) is delayed by T time, it means that the signal is shifted to the right by T units on the time axis. However, this delay does not affect the region of convergence (ROC) in the S-plane. The ROC is determined by the properties of the original signal and not by any time shift. Therefore, the correct answer is 0, indicating that the ROC does not shift when the signal is delayed.

    Rate this question:

Quiz Review Timeline (Updated): Dec 26, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Dec 26, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Apr 25, 2019
    Quiz Created by
    Suddm.kgp
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.