Show HN: Resonate – real-time high temporal resolution spectral analysis

Resonate is a low latency, low memory footprint, and low computational cost algorithm to evaluate perceptually relevant spectral information from audio (and other) signals. Overview Resonate builds on a resonator model that accumulates the signal contribution around its resonant frequency in the time domain using the Exponentially Weighted Moving Average (EWMA), also known as a low-pass filter in signal processing. Consistently with on-line perceptual signal analysis, the EWMA gives more weight to recent input values, whereas the contributions of older values decay exponentially. A compact, iterative formulation of the model affords computing an update at each signal input sample, requiring no buffering and involving only a handful of arithmetic operations. Each resonator, characterized by its resonant frequency \(f = \frac{\omega}{2\pi}\), is described by a complex number \(R\) whose amplitude captures the contribution of the input signal component around frequency \(f\). The formu ... Read full article.