John F. introuced Measuring the Dominant Cycle using the Phase Accumulation in his "Cycle Analytics for Traders" chapter 14 on 2013.
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.
DomCycle --> Dominant Cycle
Pros and Cons
100% John F. definition translation, even variable names are the same. This help readers who would like to use pine to read his book.
The 60th script for Blackcat1402 John F. Week publication.
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