[blackcat] L2 Ehlers Inverse Fisher Cyber Cycle

Background
John F. Ehlers introuced the Inverse Fisher Transform of Cyber Cycle in May, 2004.
Function
"The Inverse Fisher Transform ," describes the calculation and use of the inverse Fisher transform by Dr . Ehlers in 2004. The transform is applied to any indicator with a known probability distribution function, but this script offers a sample transforms: Cyber Cycle . I have created inputs for the trigger levels for entry and exit so that the user may adjust these levels as desired.
In his article, Dr . Ehlers states the inverse Fisher transform can work with any oscillator, and that values between -1 and 1 are more suited for the transform calculations. Here is one version of the inverse Fisher transform of Cyber Cycle . This version takes the highest and lowest value of the Cyber Cycle and normalizes the scale to a range of -1 to 1. John Ehlers shows how to use the inverse Fisher transform ( IFT ) to compress oscillator-type indicators to give clear trading indications of when to buy or sell. The IFT is a nonlinear transformation that changes the probability distribution, so for example, unbounded indicators can be transformed into bounded indicators with a high probability of being either +1 or -1.
Key Signal
ICycle--> Inverse Fisher Transform of Cyber Cycle fast line
Trigger--> Inverse Fisher Transform of Cyber Cycle slow line
Pros and Cons
100% John F. Ehlers definition translation, even variable names are the same. This help readers who would like to use pine to read his book.
Remarks
The 69th script for Blackcat1402 John F. Ehlers Week publication.
Readme
In real life, I am a prolific inventor. I have successfully applied for more than 60 international and regional patents in the past 12 years. But in the past two years or so, I have tried to transfer my creativity to the development of trading strategies. Tradingview is the ideal platform for me. I am selecting and contributing some of the hundreds of scripts to publish in Tradingview community. Welcome everyone to interact with me to discuss these interesting pine scripts.
The scripts posted are categorized into 5 levels according to my efforts or manhours put into these works.
Level 1 : interesting script snippets or distinctive improvement from classic indicators or strategy. Level 1 scripts can usually appear in more complex indicators as a function module or element.
Level 2 : composite indicator/strategy. By selecting or combining several independent or dependent functions or sub indicators in proper way, the composite script exhibits a resonance phenomenon which can filter out noise or fake trading signal to enhance trading confidence level.
Level 3 : comprehensive indicator/strategy. They are simple trading systems based on my strategies. They are commonly containing several or all of entry signal, close signal, stop loss, take profit, re-entry, risk management, and position sizing techniques. Even some interesting fundamental and mass psychological aspects are incorporated.
Level 4 : script snippets or functions that do not disclose source code. Interesting element that can reveal market laws and work as raw material for indicators and strategies. If you find Level 1~2 scripts are helpful, Level 4 is a private version that took me far more efforts to develop.
Level 5 : indicator/strategy that do not disclose source code. private version of Level 3 script with my accumulated script processing skills or a large number of custom functions. I had a private function library built in past two years. Level 5 scripts use many of them to achieve private trading strategy.
FEATURES
• Advanced cyber cycle calculation with smoothing
• Inverse Fisher Transform application
• Dual buy/sell signal generation
• Visual trigger line comparison
• Horizontal reference lines at key levels
• Color-coded fill area between main and trigger lines
• Customizable parameters for optimization
HOW TO USE
Configure the following inputs:
• Price source (default: HL2)
• Alpha smoothing factor (default: 0.07)
• Buy/Sell line thresholds (default: ±0.5)
• Secondary buy/sell lines (default: ±0.5)
Monitor the indicator for trading signals:
• Buy signals occur when ICycle crosses above either buy line
• Sell signals occur when ICycle crosses below either sell line
LIMITATIONS
• Requires sufficient historical data for accurate calculations
• Performance may vary across different market conditions
• Parameter sensitivity requires careful calibration
NOTES
• The indicator uses Ehlers' proprietary inverse Fisher transform methodology
• Default settings are optimized for general market conditions
• Consider adjusting parameters based on your trading timeframe and strategy
Skrip sumber terbuka
Dalam semangat sebenar TradingView, pencipta skrip ini telah menjadikannya sumber terbuka supaya pedagang dapat menilai dan mengesahkan kefungsiannya. Terima kasih kepada penulis! Walaupun anda boleh menggunakannya secara percuma, ingat bahawa menerbitkan semula kod ini adalah tertakluk kepada Peraturan Dalaman kami.
Untuk akses pantas pada carta, tambah skrip ini kepada kegemaran anda — ketahui lebih lanjut di sini.
Penafian
Skrip sumber terbuka
Dalam semangat sebenar TradingView, pencipta skrip ini telah menjadikannya sumber terbuka supaya pedagang dapat menilai dan mengesahkan kefungsiannya. Terima kasih kepada penulis! Walaupun anda boleh menggunakannya secara percuma, ingat bahawa menerbitkan semula kod ini adalah tertakluk kepada Peraturan Dalaman kami.
Untuk akses pantas pada carta, tambah skrip ini kepada kegemaran anda — ketahui lebih lanjut di sini.