Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the frequency shift property in Fourier series?
💡 Hint: Think about what happens to frequencies when you multiply by an exponential function.
Question 2
Easy
What does the parameter 'M' represent in the frequency shift property?
💡 Hint: Recall how modulation affects signal frequencies.
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 happens to the frequency components of a signal when it is multiplied by a complex exponential?
- They are amplified
- They remain unchanged
- They are shifted
💡 Hint: Consider the role of modulation in shifting frequencies.
Question 2
True or False? The amplitude of a signal is affected by frequency shifting.
- True
- False
💡 Hint: Think about how we represent signal amplitudes and frequencies separately.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider a periodic square wave with a Fourier series given by its coefficients c_k. If this wave is multiplied by e^(j5t), express the new coefficients.
💡 Hint: Remember how we derived the new coefficients based on the frequency shift property.
Question 2
Analyze how frequency shifting can affect communication bandwidth when multiple signals are modulated onto a carrier frequency.
💡 Hint: Think about how different frequency components can share the same medium if modulated properly.
Challenge and get performance evaluation