John F. Ehlers introuced adding the Fisher Transform to the Adaptive RSI in his "Cycle Analytics for Traders" chapter 15 on 2013.
Function
The purpose of the Fisher transform is to take any indicator having a nominally zero mean and bounded between the limits of −1 to +1 and convert the amplitude so that the transformed indicator has an approximate normal probability distribution. The variable MyRSI ranges between zero and one, and therefore to accommodate the conditions for the Fisher transform, this variable must be translated and dilated to range between −1 and +1. If the MyRSI variable does not range fully between zero and one, you can shorten the RSI lookback period to be less than half the measured dominant cycle, or you can simply multiply it by a magnification factor as Dr. Ehlers have done in the code fragment. The amplifying factor was selected to make the indicator rarely exceed the two sigma points in the output. The amplified RSI is then limited to be within the range of −0.999 to +0.999 to avoid a computer crash, and then is used to compute the Fisher transform. The plus and minus two standard deviation levels are included in the indicator display.
Key Signal
Fish --> Fisher Adaptive RSI fast line Trigger --> Fisher Adaptive RSI 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 61th 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.
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