Practice - Step 2: Recursive Computation
Practice Questions
Test your understanding with targeted questions
Define the term 'Base Case' in DFT context.
💡 Hint: Think about the simplest example of a DFT.
What is the recursive method used for in FFT?
💡 Hint: Consider how we approach problems step by step.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the base case in the Radix-2 FFT recursion?
💡 Hint: Think about the simplest calculation you can do.
True or False: Recursive computation reduces the complexity of the DFT from O(N²) to O(N log N).
💡 Hint: Consider how many operations are needed for a larger dataset.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given an input sequence of length 8, sketch the tree of recursive calls made in FFT.
💡 Hint: Start with the sequence and divide at each recursive step.
Suppose you need to compute a DFT of size 32. How many two-point computations will occur?
💡 Hint: Think about how many levels of division occur.
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Reference links
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