[blackcat] L2 Ehlers Synthetic Prices Candles

1 พ.ย. 2020

Level: 2

Background

John F. Ehlers create Synthetic Prices Using Random Numbers with Memory in his "Cycle Analytics for Traders" chapter 8 on 2013.


Function

Peter Swerling is best known for the class of statistically “fluctuating target” scattering models he developed in the early 1950s to characterize the performance of pulsed radar systems, referred to as Swerling targets. He noted that the return radar echoes were noisy because of semirandom reflections from different parts of the aircraft because of the changing aspect of aircraft relative to the radar transmitter. There were different kinds of fluctuations due to target shape and size, radar wavelength, and so on. Some fluctuations would occur pulse to pulse, and others would vary more slowly, such as from scan to scan of the antenna. In fact, his early work led to the design of modern stealthy aircraft. The noisy radar echoes were successfully modeled as a constant plus a random number with memory. In terms recognized by traders, the echoes were modeled as an exponential moving average (EMA) passes numbers. The time constant of the EMA was different for the various models, and more complex models included several EMAs. The Swerling model is entirely consistent with the 1/F α spectral model that uses random inputs with long-term memory.

Since there has been a mountain of opinion regarding the randomness of the market, it is reasonable to apply a Swerling-like model toward the generation of synthetic data. The result is subjective, but appears to be a reasonable approximation to real market movement. There is no relationship between the real prices and the synthetic prices. Since random numbers are used, the display will change every time the indicator is computed. Since synthetic prices created by taking an EMA of random numbers are a reasonable approximation to real market prices, the prices can be viewed as random numbers with memory. A logical extension is that we can gain insight into market activity by correlating current prices with prices in the recent history to take advantage of the memory part of the model. At least that was Dr. Ehlers premise.


Key Signal

Cls--> Synthetic Close Prices
Hgh--> Synthetic High Prices
Lw --> Synthetic Low Prices
Opn--> Synthetic Open Prices

Pros and Cons

I am sorry this script is NOT 100% as original Ehlers works but I modified it accordingly which demostrated with better visual effect.

Remarks

The 46th script for Blackcat1402 John F. Ehlers Week publication.

Courtesy of @ midtownsk8rguy for random number generation.


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.