Practice Rectangular Pulse (rect(t/t)) (4.4.1) - Fourier Transform Analysis of Continuous-Time Aperiodic Signals
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Rectangular Pulse (rect(t/T))

Practice - Rectangular Pulse (rect(t/T))

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the mathematical representation of the rectangular pulse?

💡 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?

💡 Hint: Consider the relationship between the time domain and frequency domain.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the Fourier Transform of a rectangular pulse?

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

💡 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

💡 Hint: Reflect on the relationship between time duration and frequency.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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

💡 Hint: Apply the formula and look for the dimensions of the sinc function.

Challenge 2 Hard

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

💡 Hint: What happens to signals when they are transmitted and overlaid?

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Reference links

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