Discrete Fourier Transforms (DFT/FFT), Z-Transform, FIR/IIR Digital Filters, Spectral Estimation & Wavelets.
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N-point DFT implementations, radix-2 Cooley-Tukey algorithms, zero-padding resolution effects, and windowing functions (Hamming, Hann, Blackman, Kaiser) for leakage reduction.
Linear-phase FIR conditions (Type I, II, III, IV), window design techniques, and equiripple Parks-McClellan optimization (firpm / remez).
Butterworth, Chebyshev Type I/II, and Elliptic analog prototypes, bilinear transformation frequency warping compensations, and second-order section (SOS) numerical stabilization.
LMS and RLS adaptive noise cancellation algorithms, continuous wavelet transform (CWT), discrete multi-level wavelet decomposition, and audio spectrogram analysis.
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