Practice Rectangular Pulse (rect(t/T)) - 4.4.1 | Module 4 - Fourier Transform Analysis of Continuous-Time Aperiodic Signals | Signals and Systems
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4.4.1 - Rectangular Pulse (rect(t/T))

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the mathematical representation of the rectangular pulse?

πŸ’‘ Hint: Think about the intervals for which the pulse is active.

Question 2

Easy

What does the sinc function represent in the context of the rectangular pulse?

πŸ’‘ Hint: Consider the relationship between the time domain and frequency domain.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the Fourier Transform of a rectangular pulse?

  • A. T
  • B. T * sinc(omega * T / (2pi))
  • C. 1

πŸ’‘ Hint: Focus on how the pulse shape influences the resulting spectrum.

Question 2

True or False: A longer rectangular pulse implies a wider bandwidth.

  • True
  • False

πŸ’‘ Hint: Reflect on the relationship between time duration and frequency.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a rectangular pulse with a duration of T=3 seconds, calculate its Fourier Transform and describe its key features.

πŸ’‘ Hint: Apply the formula and look for the dimensions of the sinc function.

Question 2

Discuss the implications of using rectangular pulses in digital communication systems. What are the advantages and drawbacks?

πŸ’‘ Hint: What happens to signals when they are transmitted and overlaid?

Challenge and get performance evaluation