Ehlers MESA Adaptive Moving Average [LazyBear]

Another one to add to Ehlers collection.

The MESA Adaptive Moving Average ( MAMA ) adapts to price movement based on the rate of change of phase as measured by the Hilbert Transform Discriminator. This method features a fast attack average and a slow decay average so that composite average rapidly ratchets behind price changes and holds the average value until the next ratchet occurs. Consider FAMA (Following AMA) as the signal.

Here are some of the options:

Fill MAMA /FAMA region (ribbon mode):

Mark Crossovers:

The above options (along with the bar colors) allow this to be used as a standalone system.

BTW, John Ehlers calls MAMA , "Mother of all Adaptive Moving Averages", lemme know what you think :)

More info:
- MESA Adaptive Moving Average , Stocks and Commodities Magazine, August 2001

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List of my app-store indicators:

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Open-source script

In true TradingView spirit, the author of this script has published it open-source, so traders can understand and verify it. Cheers to the author! You may use it for free, but reuse of this code in a publication is governed by House Rules. You can favorite it to use it on a chart.


The information and publications are not meant to be, and do not constitute, financial, investment, trading, or other types of advice or recommendations supplied or endorsed by TradingView. Read more in the Terms of Use.

Want to use this script on a chart?
// @author LazyBear 
// List of my public indicators: 
// List of my app-store indicators: 
study("Ehlers MESA Adaptive Moving Average [LazyBear]", shorttitle="EMAMA_LB", overlay=true, precision=3)
src=input(hl2, title="Source")
fl=input(.5, title="Fast Limit")
sl=input(.05, title="Slow Limit")
sp = (4*src + 3*src[1] + 2*src[2] + src[3]) / 10.0
dt = (.0962*sp + .5769*nz(sp[2]) - .5769*nz(sp[4])- .0962*nz(sp[6]))*(.075*nz(p[1]) + .54)
q1 = (.0962*dt + .5769*nz(dt[2]) - .5769*nz(dt[4])- .0962*nz(dt[6]))*(.075*nz(p[1]) + .54)
i1 = nz(dt[3])
jI = (.0962*i1 + .5769*nz(i1[2]) - .5769*nz(i1[4])- .0962*nz(i1[6]))*(.075*nz(p[1]) + .54)
jq = (.0962*q1 + .5769*nz(q1[2]) - .5769*nz(q1[4])- .0962*nz(q1[6]))*(.075*nz(p[1]) + .54)
i2_ = i1 - jq
q2_ = q1 + jI
i2 = .2*i2_ + .8*nz(i2[1])
q2 = .2*q2_ + .8*nz(q2[1])
re_ = i2*nz(i2[1]) + q2*nz(q2[1])
im_ = i2*nz(q2[1]) - q2*nz(i2[1])
re = .2*re_ + .8*nz(re[1])
im = .2*im_ + .8*nz(im[1])
p1 = iff(im!=0 and re!=0, 360/atan(im/re), nz(p[1]))
p2 = iff(p1 > 1.5*nz(p1[1]), 1.5*nz(p1[1]), iff(p1 < 0.67*nz(p1[1]), 0.67*nz(p1[1]), p1))
p3 = iff(p2<6, 6, iff (p2 > 50, 50, p2))
p = .2*p3 + .8*nz(p3[1])
spp = .33*p + .67*nz(spp[1])
phase = atan(q1 / i1)
dphase_ = nz(phase[1]) - phase
dphase = iff(dphase_< 1, 1, dphase_)
alpha_ = fl / dphase
alpha = iff(alpha_ < sl, sl, iff(alpha_ > fl, fl, alpha_))
mama = alpha*src + (1 - alpha)*nz(mama[1])
fama = .5*alpha*mama + (1 - .5*alpha)*nz(fama[1])
pa=input(false, title="Mark crossover points")
plotarrow(pa?(cross(mama, fama)?mama<fama?-1:1:na):na, title="Crossover Markers")
fr=input(false, title="Fill MAMA/FAMA Region")
duml=plot(fr?(mama>fama?mama:fama):na, style=circles, color=gray, linewidth=0, title="DummyL")
mamal=plot(mama, title="MAMA", color=red, linewidth=2)
famal=plot(fama, title="FAMA", color=green, linewidth=2)
fill(duml, mamal, red, transp=70, title="NegativeFill")
fill(duml, famal, green, transp=70, title="PositiveFill")
ebc=input(false, title="Enable Bar colors")