Radix 2 DIT FFT algorithm (Part 2) || EC Academy
Автор: EC Academy
Загружено: 2025-08-31
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In this second part, we go beyond the basics of the Radix-2 Decimation-in-Time (DIT) FFT. We’ll practice butterfly computations step-by-step, understand twiddle factor handling, and work through complete 8-point & 16-point examples. You’ll also learn bit-reversal indexing, in-place computation tricks, and common pitfalls so you can implement FFTs confidently in MATLAB/Python and embed them in DSP projects.
What you’ll learn
Quick refresher: DFT vs FFT, Radix-2 DIT recap
Butterfly structure: flow, complex multiplications, symmetry, Twiddle factors: generation, reuse, angle mapping
Bit-reversal permutation: why & how (manual + code logic)
In-place vs out-of-place implementations
Worked examples: 8-point & 16-point FFT (intermediate stages shown)
Complexity & memory considerations
Numerical issues: scaling, overflow, fixed-point nodes.
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