Practice Filtering of Periodic Signals - 3.5.1 | Module 3: Fourier Series Analysis of Continuous-Time Periodic Signals | Signals and Systems
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the main purpose of a filter?

πŸ’‘ Hint: Think about what filters do in music or audio systems.

Question 2

Easy

What does LTI stand for in signal processing?

πŸ’‘ Hint: Focus on the characteristics of systems.

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 primary function of a filter?

  • To amplify all signals equally
  • To selectively modify frequency components
  • To increase noise levels

πŸ’‘ Hint: Consider why we use filters in audio processing.

Question 2

True or False: A high-pass filter allows low frequencies to pass.

  • True
  • False

πŸ’‘ Hint: Think about what happens in an audio signal with low and high tones.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A periodic square wave has a frequency of 1 kHz. If passed through a high-pass filter with a cutoff frequency of 500 Hz, describe how the output would differ from the input.

πŸ’‘ Hint: Consider the harmonic components that would be filtered out.

Question 2

Given a periodic signal represented by a Fourier series, explain how you would implement a low-pass filter in the frequency domain.

πŸ’‘ Hint: Think about how frequency responses affect individual harmonic contributions.

Challenge and get performance evaluation