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Product Deposition: Smart Shoe Platform

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Embedded shoe sensor signals decompose into multiple decaying harmonics — each step is a sum of exponentially fading oscillations. The Harmonic Decay deposition provides the mathematical framework for extracting gait data from noisy sensor streams.
First to market

Publicly online since 2010 · U.S. patent applications since 2012 · inventions offered since 2014. The work of Christopher Gabriel Brown, independently documented.

First posted: · Last updated:
Links
PRODUCT DEPOSITION

Harmonic Decay in Wearable Sensor Signal Processing

Product: Smart Shoe Platform

Classification: Applied — IoT Wearable Technology

Notice: This is reading material only. No IP is transferred.

Core Formula

S(t) = Sum(k=1..K) A_k * e^(-lambda_k * t) * cos(omega_k * t + phi_k) + noise(t)

Simplified

Embedded shoe sensor signals decompose into multiple decaying harmonics — each step is a sum of exponentially fading oscillations. The Harmonic Decay deposition provides the mathematical framework for extracting gait data from noisy sensor streams.

Plain Language

When you step in a smart shoe, pressure sensors detect a complex vibration pattern. Each footfall creates waves that ring and fade — like tapping a drum. The math separates these fading rings into individual components to figure out how you walk, how hard you step, and where you are.

What You Get

  • Complete product-specific mathematical deposition (HTML, print-ready)
  • Core formula with three interpretation levels
  • Multiple detailed technical analysis sections
  • Foundation reference to general CGB deposition series
  • Declaration of Faith and academic references
Base Deposition: Deposition 1 — Harmonic Decay

Acquisition Path

This product is available through CGB's 4-step acquisition path. The current price is shown in your cart and on the live storefront page.

  • Step 1 — Proof of Function: public, $1.69 each.
  • Step 2 — Mathematical Deposition: reading material under mutual NDA.
  • Step 3 — Evaluation License: hands-on evaluation under NDA; fee credits toward Step 4.
  • Step 4 — Full Acquisition:

See the acquisition path overview →

Full size Smart Shoe Platform

© Christopher Gabriel Brown 2026

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