Long-form
Essays
Technical arguments you can manipulate: intuition, equations, implementation and the places where each model breaks.
01
The Fourier transform, made visible
Compose a signal, then inspect the magnitude and phase that describe it.
02Aliasing is everywhere
See why different continuous signals can become identical after sampling.
03Convolution: FIR filters → CNNs → fast computation
Follow one operation across filtering, learned kernels and frequency space.
04Sinusoidal positional encodings, from first principles
Build a vector representation of position from paired periodic coordinates.
05Building a GPU STFT pipeline
Map a time–frequency transform from equations to buffers and execution.