What is stochastic resonance?

Stochastic resonance is a phenomenon where adding a specific amount of white noise to a non-linear system actually improves the detection of weak, subthreshold signals rather than degrading them.

How does the KramersRateComputer gadget work?

It computes the frequency at which a system state escapes over a potential barrier (DeltaU) given a specific noise intensity, following the principle of thermal activation.

What is 'Optimal Noise' in this context?

Optimal noise (D*) is the specific noise intensity where the Signal-to-Noise Ratio (SNR) reaches its peak on the noise-benefit curve, providing maximum signal enhancement.

Can this skill be used for BCI development?

Yes, it is designed for integration into Layer 15 of BCI orchestration pipelines, specifically for enhancing weak biological signals before they undergo spectral analysis.

Stochastic Resonance Analyzer

Name: Stochastic Resonance Analyzer
Author: plurigrid

byplurigrid

•

Data Science & ML

Enhances subthreshold signal detection using noise-optimization techniques and Kramers escape rate calculations.

This skill provides specialized tools for analyzing and implementing stochastic resonance, a counter-intuitive phenomenon where additive noise is used to amplify weak signals in non-linear systems. It calculates Kramers escape rates, identifies optimal noise intensities for Signal-to-Noise Ratio (SNR) maximization, and models bistable potential dynamics. It is particularly useful for developers and researchers working on signal processing, multi-sensor arrays, or brain-computer interfaces (BCI) where detecting signals below standard thresholds is a critical requirement.

Key Features

017 GitHub stars

02Calculates Kramers escape rates over double-well potential barriers

03Simulates noise-enhanced detection for subthreshold input signals

04Finds optimal noise intensity (D*) for peak SNR via resonance scanning

05Models coherence resonance and regularity in excitable systems

06Provides DuckDB schemas for structured resonance scan data management

Use Cases

01Enhancing weak signal detection in noisy or low-power sensor environments

02Optimizing neural interface throughput within BCI orchestration pipelines

03Modeling non-linear dynamical systems in physical and biological simulations

What are Skills?·How to Install

Install with 🐟 Skill.Fish

npx skillfish add plurigrid/asi stochastic-resonance

For use in Claude.ai and ChatGPT

Download Skill