[blackcat] L2 Ehlers Homodyne Discriminator Period Measurer

2020년 10월 22일

Level: 2

Background

John F. Ehlers introuced Homodyne Discriminator Cycle Period Measurer in his "Rocket Science for Traders" chapter 7. Homodyne means we are multiplying the signal by itself. More precise, we want to multiply the signal of the current bar with the complex conjugate of the signal 1 bar ago. The complex conjugate is, by definition, a complex number whose sign of the imaginary component has been reversed.


Function
blackcat L2 Ehlers Homodyne Discriminator Cycle Period Measurer is used to measure Dominant Cycle (DC). This is one of John Ehlers three major methods to measure DC. Mode. Dr. Ehlers conclude that the Homodyne is overall more accurate in measurement of cycles when the market is in a Trend Mode. For all these reasons Dr. Ehlers conclude that the Homodyne Discriminator is the superior approach among the three methods.


Key Signal

Smooth --> 4 bar WMA w/ 1 bar lag
Detrender --> The amplitude response of a minimum-length HT can be improved by adjusting the filter coefficients by
trial and error. HT does not allow DC component at zero frequency for transformation. So, Detrender is used to remove DC component/ trend component.
Q1 --> Quadrature phase signal
I1 --> In-phase signal
Period --> Dominant Cycle in bars
SmoothPeriod --> Period with complex averaging

Pros and Cons

100% John F. Ehlers definition translation of original work, even variable names are the same. This help readers who would like to use pine to read his book. If you had read his works, then you will be quite familiar with my code style.

Remarks

The 3rd 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.

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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.