MESA adaptive moving average (MA) is the indicator for Omega Tradestation.
An attempt MESA combination method with the Hilbert transform to construct adaptive moving average.
MESA Adaptive Moving Averages (MA) are adapted to the movement of prices for new and unusual way. The adaptation is based on the change in value of the phase, which is calculated based on the Hilbert transform, the basic concepts are given in Stocks & Commodities 12, 2000.
This work shows the Hilbert transform, as a result of which you can get the actual (abscissa) and imaginary (ordinate) components of the radius vector of prices. Arc tangent to the imaginary component of the relationship really gives phase or the phase angle for a given point in time. Since the summation value of the phase change from bar to bar is 360 degrees for a full cycle, the discriminator computes Hilbert dominant cycle based on the average of the phase difference.
The advantage of this method of adaptation is that it shows the average number of fast attacks, and the average number of slow-downs so that the adaptive moving average begins to quickly and abruptly adjust to price change and remains constant or slightly alter it before the next movement.
As a result, the indicator uses a variable interval of averaging, which allows MOM better describe the behavior of prices. Abrupt switching between short and long averaging periods, leads to the fact that the indicator chart or sharp jerks or smoothly moves along with the price and has the form of steps.