Signal Processing

concepts · 13 notes linked

Related: Fourier Transform · Sampling Theorem · Aliasing · Fourier Analysis · Harry Nyquist · Claude Shannon · Information Theory · Harmonic Analysis

Notes

• Banjo Physics 411 AND Resonator Guitar Physics 412 — Physics research on banjo and resonator guitar acoustics and inharmonic partials
• Circles Sines and Signals — Interactive tutorial on aliasing and limits of discrete signal interpolation
• Convolution - Wikipedia — Integral operation computing weighted overlap of two functions at all shifts
• Discrete cosine transform - Wikipedia — Cosine-based transform for signal compression used in JPEG, MPEG, MP3
• Fourier analysis - Wikipedia — Decomposing functions into sums of trigonometric or complex exponential components
• Fourier transform for dummies — Intuitive explanations of Fourier transform from physics and engineering perspectives
• ICA Example — Infomax ICA separates brain and artifact sources from 100-channel EEG data
• Nyquist–Shannon sampling theorem - Wikipedia — Fundamental theorem defining minimum sampling rate for lossless reconstruction
• Single Pixel Camera — DIY single-pixel camera using Radon Transform reconstruction
• Stochastic resonance and the benefits of noise - from ice ages to crayfish and SQUIDs — Noise enhances weak signal detection in nonlinear systems via stochastic resonance
• Understanding Wavelets — Wavelet transform as a signal analysis tool preserving time-frequency locality
• Understanding the FFT Algorithm — Cooley-Tukey FFT algorithm mechanics explained with Python implementations
• Wavelet - Wikipedia — Time-frequency localized oscillation for signal decomposition and compression