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docs: standardize .md template — add PineScript links, blockquotes, bullet summaries
- Eeo.md: full rewrite to canonical template (blockquote, table, 3 bullets, paragraph) - Ac.md: add PineScript row - Ao.md: add PineScript row - Fisher04.md: add table, PineScript row, 3 bullets, paragraph - TtmWave.md: add PineScript row - Dstoch.md: full rewrite header (blockquote, canonical table, 3 bullets, paragraph) - Net.md: add blockquote, canonical table, PineScript row, 3 bullets, paragraph
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# EEO: Ehlers Elegant Oscillator
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A bounded zero-crossing oscillator that applies the Inverse Fisher Transform to RMS-normalized 2-bar momentum, then smooths the result with a 2-pole Super Smoother filter. Output is approximately bounded to [-1, +1].
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> *Where DSO shouts through a megaphone, EEO whispers through a compressor — the Inverse Fisher Transform tames extremes into a clean bounded signal.*
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| Property | Value |
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|:-------------- |:--------------------------------------------- |
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| **Category** | Oscillators |
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| **Author** | John F. Ehlers |
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| **Source** | TASC, February 2022 |
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| **Article** | "An Elegant Oscillator: Inverse Fisher Transform Redux" |
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| **Input** | Single series (Close) |
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| **Parameters** | BandEdge (default 20) |
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| **Output** | Bounded ≈ [-1, +1] |
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| **Hot after** | 50 + BandEdge bars |
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| **PineScript** | [eeo.pine](eeo.pine) |
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| Property | Value |
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| ---------------- | -------------------------------- |
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| **Category** | Oscillator |
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| **Inputs** | Source (close) |
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| **Parameters** | `bandEdge` (default 20) |
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| **Outputs** | Single series (Eeo) |
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| **Output range** | Bounded ≈ [-1, +1] |
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| **Warmup** | `50 + bandEdge` bars |
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| **PineScript** | [eeo.pine](eeo.pine) |
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- EEO (Elegant Oscillator) applies the Inverse Fisher Transform (tanh) to RMS-normalized 2-bar momentum, then smooths the result with a 2-pole Super Smoother filter, producing a bounded zero-crossing oscillator.
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- **Similar:** [DSO](../dso/Dso.md), [RSIH](../rsih/Rsih.md) | **Complementary:** ADX for trend confirmation | **Trading note:** Output bounded ≈ [-1, +1]; ±0.5 levels indicate strong momentum. Unlike DSO (unbounded), EEO compresses extremes via tanh.
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- No external validation libraries implement EEO. Validated through self-consistency and behavioral testing.
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EEO is Ehlers' 2022 refinement of his earlier DSO (2018). Where DSO applies the Fisher Transform (arctanh) to expand a normalized signal, EEO applies the **Inverse Fisher Transform** (tanh) to compress it. The IFT naturally bounds the output to [-1, +1] without the ±0.99 clamping that DSO requires. A Super Smoother post-filter then removes residual noise. The fixed 50-bar RMS normalization window provides a stable volatility baseline independent of the BandEdge parameter.
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## Historical Context
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Ehlers' 2022 "Elegant Oscillator" is a refinement of his earlier DSO (2018). Where DSO applies the Fisher Transform (arctanh) to expand a normalized signal, EEO applies the **Inverse Fisher Transform** (tanh) to compress it. The IFT naturally bounds the output to [-1, +1] without needing the ±0.99 clamping that DSO requires. A Super Smoother post-filter then removes residual noise.
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John F. Ehlers published the Elegant Oscillator in the February 2022 issue of *Technical Analysis of Stocks & Commodities* magazine under the title "An Elegant Oscillator: Inverse Fisher Transform Redux." The article presents EEO as a deliberate counterpart to his 2018 Deviation-Scaled Oscillator (DSO). While DSO uses the Fisher Transform (arctanh) to stretch readings near zero into large excursions, EEO uses the Inverse Fisher Transform (tanh) to compress them — producing a naturally bounded output without the artificial clamping that DSO requires.
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## Architecture & Physics
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