Simple FFT and Filter Implementations

The author mentions: As a first-time contributor, I'm still learning the ropes and would appreciate your guidance! I'd like to share some fundamental knowledge about implementing simple FFT algorithms and digital filter designs in programming, hoping this proves useful. The FFT implementation typically involves recursive or iterative Cooley-Tukey algorithms for efficient frequency domain transformation, while basic filters may include FIR (Finite Impulse Response) designs using windowing methods or IIR (Infinite Impulse Response) filters via bilinear transformation. I've also supplemented additional relevant content to better explain these concepts, including code structure considerations and parameter optimization approaches. These enhancements aim to enrich your understanding of practical signal processing implementation techniques, covering essential aspects like frequency bin calculation for FFT and filter coefficient derivation for various response types.