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 Z-Transform of a signal $x[n] = 2$?
💡 Hint: Think about how constant signals behave in Z-domain.
Question 2
Easy
Describe the linearity property of the Z-Transform.
💡 Hint: Think of combining two musical notes.
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 Z-Transform of $x[n] = n$?
- $X(z) = z/(1 - z^{-1})^2$
- $X(z) = 1/(1 - z)$
- $X(z) = 1/(1 + z)$
💡 Hint: Think about the derivative of a geometric series.
Question 2
True or False: The Z-Transform of a right-sided signal has a ROC extending outward from the origin.
- True
- False
💡 Hint: Remember the characteristics of causal signals.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the signals $x[n] = 2^n u[n]$ and $h[n] = 3^n u[n]$, compute the Z-Transform and demonstrate the convolution in Z-domain.
💡 Hint: Focus on finding each Z-Transform first, then multiply.
Question 2
Apply the Final Value Theorem to find the steady-state value of the signal $x[n] = (0.5)^n u[n]$.
💡 Hint: Identify the Z-Transform first, then follow limits.
Challenge and get performance evaluation