TASK™ VOCAL IMAGING STANDARD
US 8,346,559 B2 The Rabbit 🐇 3D FFT Infographic Animated Infographs Audio Ingress Patent PDF ↗
Sovereign Acoustic Resonance Engine • Pure Dynamic Ingress

Acoustic Condition Diagnosis Standard

Continuous multi-octave zero-slope harmonic resonance analysis. High-resolution 0.04 Hz discrete frequency spectrum extraction for non-invasive clinical physiological assessment.

📄 US 8,346,559 B2 (Granted PDF) 📄 US 9,223,863 B2 (Continuation PDF) 📑 Specification Markdown 🌐 Google Patents Official

🐇 The Rabbit's Acoustic Whiteboard Classroom

Voice Synthesized Masterclass

Listen to The Rabbit explain the five core algorithmic mechanisms of U.S. Patent 8,346,559 B2 with real-time synchronized whiteboard highlighting and audio narration:

The Rabbit at the Whiteboard
The Rabbit
Chief Sovereign Acoustic Fellow
Audio: Click 'Play Audio Lecture' to listen
Lesson 1: Ultra-Fine Discrete 0.04 Hz Frequency Bins
Δf = 0.04 Hz • Bins = N / SampleRate • Welch High-Res FFT

Hop in, scholars! Our voice isn't just sound—it's a biological holographic projection of cellular state. Under U.S. Patent 8,346,559 B2, we transform vocal sound prints using Welch Power Spectral Density into ultra-fine 0.04 Hertz discrete bins. Why 0.04 Hertz? Because biological resonances do not adhere to coarse musical scales. This micro-frequency resolution allows exact isolation of single biochemical molecular resonances!

PATENT MECHANISM: Component 126 (Measurement Point) • 129 (0.04 Hz Interval) • 133 (0.33 Hz Band)
Lesson 2: Substantial Zero-Slope Signature Detection
ΔAmp = max(Amp_dB) - min(Amp_dB) ≤ 0.15 dB across Band W = 0.33 Hz

Now look at equation two on my board! Across every 0.33 Hertz band, we scan for what the patent defines as a zero-slope plateau. If the amplitude variance is less than or equal to 0.15 decibels, we flag a true signature! A flat horizontal plateau indicates a coherent, continuous physiological carrier rather than turbulent, transient voice fluctuations.

PATENT MECHANISM: Component 133 (0.33 Hz Band) • 136 (Zero-Slope Signature) • Fig. 2
Lesson 3: Six-Octave Harmonic Superposition Matrix
f_k = f_0 × 2^k, k ∈ {0, 1, 2, 3, 4, 5} • Total Hits ≥ 5 / 6 Octaves

Equation three: Multi-harmonic folding! We take our fundamental frequency f-zero and project it across six consecutive harmonic octaves: f0, 2f0, 4f0, 8f0, 16f0, and 32f0! We construct a truth table matrix tracking zero-slope hits across all six tiers. Only bands exhibiting at least 5 out of 6 confirmed harmonic hits pass through to the priority range engine! Genuine biological resonance echoes across octaves.

PATENT MECHANISM: Component 139 (Octaves 1-6) • 143 (Hit Sum) • Fig. 4 & 5
Lesson 4: Contiguous Range Engine & Red-Zone Midpoint
f_mid = (f_min + f_max) / 2 • RedZone = [f_mid ± 0.04 Hz] • +10.0 Pt Bonus

Here is where the patent excels: contiguous passing bands are stitched together into prioritised Frequency Ranges, ranked by bandwidth. For each range, we calculate the mathematical midpoint, f-mid. The Red-Zone is constructed plus or minus 0.04 Hertz around this midpoint. Any candidate substance whose molecular resonance falls directly in this Red-Zone receives an immediate plus 10 point bonus!

PATENT MECHANISM: Component 146 (Range) • 148 (Midpoint) • 154 (Red Zone) • Fig. 6 & 7
Lesson 5: Profile Scoring & Microorganism Proximity Gate
P = (∑ W_matched / W_max) × 100% • |f_micro - f_major| ≤ 0.04 Hz ⇒ -100 Pts

Finally, lesson five: Clinical Profile compilation! We calculate applicability: matched weights divided by maximum profile capacity. Eighty percent or higher indicates a Chronic condition; fifty to eighty percent is classified as Major. And here is the crucial safeguard: if a microorganism or pathogen frequency lies within 0.04 Hertz of a major substance, the engine applies a minus 100 point penalty to prevent false diagnostic misattribution!

PATENT MECHANISM: Component 183 (Sub-Report) • 206 (Microorganism) • 216 (0.04 Hz Proximity) • Fig. 10 & 11

⚡ 3D Fast Fourier Transform (FFT) & Mathematical Architecture

End-to-End Conceptual Breakdown

The Fast Fourier Transform (FFT) is the mathematical bedrock of U.S. Patent 8,346,559 B2. It decomposes a continuous, complex vocal acoustic signal from the temporal pressure domain into discrete, orthogonal frequency carrier bands at an ultra-fine resolution of Δf = 0.04 Hz.

3D Fast Fourier Transform Infographic
TASK™ 3D FFT SPECTROGRAM • TIME (X) • AMPLITUDE (Y) • FREQUENCY (Z) • 0.04 Hz BINS
STAGE 1: TEMPORAL CAPTURE

Time-Domain Vocal Wave x(t)

Continuous vocal utterances are sampled at 44.1 kHz via an acoustic condenser microphone. The input is a composite acoustic waveform superposition containing vocal tract resonance, glottal pulses, and subtle cellular harmonic emissions.

STAGE 2: DISCRETE FOURIER TRANSFORM

N-Point Discrete Decomposition

By applying the Cooley-Tukey algorithm over windowed epochs with Welch averaging, we calculate: X[k] = ∑ x[n] • e^(-j 2π k n / N) yielding precise amplitude in decibels (dB) across discrete 0.04 Hz intervals (Δf = fs / N).

STAGE 3: ZERO-SLOPE EXTRACTION

Plateau Filter (≤ 0.15 dB)

The frequency spectrum is evaluated across sliding 0.33 Hz windows. Bands where amplitude fluctuation is ≤ 0.15 dB represent biological resonant carrier signals rather than transient vocal flutter, forming the patent's foundational signature.

Interactive 3D FFT Waterfall Spectrogram Simulator

Live Canvas Engine

Drag to orbit • Watch the composite time-domain wave (left) decompose across the 3D frequency axis into discrete 0.04 Hz spectral peaks:

Harmonic Carrier: 24.120 Hz (Calcium Sulfate) Δf Resolution: 0.04 Hz Zero-Slope Status: LOCKED (≤ 0.15 dB)

📐 Animated 3D Patent Infographics Gallery

Replaces Raw 2D Patent Flats

High-fidelity 3D holographic conceptual representations illustrating the mechanical physics of U.S. Patent 8,346,559 B2:

3D Fast Fourier Transform
INFOGRAPH 01 • PATENT FIG. 1 & 2

3D Fast Fourier Transform & 0.04 Hz Bins

Time-domain voice decomposition into 3D isometric spectral waterfall slices. Isolates fundamental carrier f0 and harmonic tiers across discrete 0.04 Hz bins with zero-slope (≤ 0.15 dB) plateau verification.

🔍 View Full 3D Infograph ↗
6-Octave Harmonic Matrix
INFOGRAPH 02 • PATENT FIG. 4, 5, 6, 7

6-Octave Harmonic Cube & Red-Zone

Layered 3D glass isometric cube tracking zero-slope hits across 6 harmonic tiers (f0 to 32f0). The golden laser verifies ≥ 5/6 harmonic hits, focusing down into the targeted Red-Zone midpoint ± 0.04 Hz (+10 pt bonus).

🔍 View Full 3D Infograph ↗
Biochemical Profile Matcher
INFOGRAPH 03 • PATENT FIG. 8, 9, 10, 11

Biochemical Profile Matcher & Pathogen Shield

Holographic physiological diagnostic engine cross-referencing resonant substance hits into Neurological and Endocrine condition profiles with Chronic (≥80%) gauges and active pathogen exclusion (-100 pts).

🔍 View Full 3D Infograph ↗

Audio Sound Print Ingress & Processing

0.04 Hz Discrete Bins

Capture real-time voice through browser Web Audio DSP, upload a vocal WAV recording, or run the calibrated patent demonstration.

Status: Engine ready for audio ingress.