[blackcat] L2 Ehlers DC using the Phase Accumulation

8 nov 2020

Level: 2

Background

John F. Ehlers introuced Measuring the Dominant Cycle using the Phase Accumulation in his "Cycle Analytics for Traders" chapter 14 on 2013.

Function

With Hilbert transformer, the next algorithm to compute the dominant cycle is the phase accumulation method. The phase accumulation method of computing the dominant cycle is perhaps the easiest to comprehend. In this technique, we measure the phase at each sample by taking the arctangent of the ratio of the quadrature component to the in-phase component. A delta phase is generated by taking the difference of the phase between successive samples. At each sample we can then look backwards, adding up the delta phases. When the sum of the delta phases reaches 360 degrees, we must have passed through one full cycle, on average. The process is repeated for each new sample.

The phase accumulation method of cycle measurement always uses one full cycle's worth of historical data. This is both an advantage and a disadvantage. The advantage is the lag in obtaining the answer scales directly with the cycle period. That is, the measurement of a short cycle period has less lag than the measurement of a longer cycle period. However, the number of samples used in making the measurement means the averaging period is variable with cycle period. Longer averaging reduces the noise level compared to the signal. Therefore, shorter cycle periods necessarily have a higher output signal-to-noise ratio.

Key Signal

DomCycle --> Dominant Cycle

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 60th 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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