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 :)

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

- MAMA: http://www.mesasoftware.com/papers/MAMA.pdf

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

- MAMA: http://www.mesasoftware.com/papers/MAMA.pdf

**List of my public indicators:**http://bit.ly/1LQaPK8**List of my app-store indicators:**http://blog.tradingview.com/?p=970// // @author LazyBear // // List of my public indicators: http://bit.ly/1LQaPK8 // List of my app-store indicators: http://blog.tradingview.com/?p=970 // 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") bc=mama>fama?lime:red barcolor(ebc?bc:na)

List of my free indicators: http://bit.ly/1LQaPK8

List of my indicators at Appstore: http://blog.tradingview.com/?p=970

List of my indicators at Appstore: http://blog.tradingview.com/?p=970

Currently, the profits are calculated using the candle close price after the buy/sell signal is given by the line MAMA/FAMA cross. You can adjust the trade amount, but default is 10 units. Can anyone edit these calculations so that it is using the candle open price of the next candle after the signal is given? I think this would give a more accurate profit estimate.

Unfortunately in the case of MESA - this indicator is simply incorrect and does not work as expected - sadly.

I coded quite a number of indis by now from Ehlers original presentations and books, and at first I could not quite grasp why LB MESA doe not look like anything in Ehlers presentations. You can check how it should look in Ehlers presentation here:

http://www.mesasoftware.com/papers/MAMA.pdf

The stringently examining LazyBear's code I figured where the problem - it is actually in the two crucial parts of calculating the period and phase value.

The issue is that TV uses radians in trigonometric functions, whereas Ehlres formula refers to degrees - and the conversion is required for the formula to work properly.

Period, line 21 must

wrong:

p1 = iff(im!=0 and re!=0, 360/atan(im/re), nz(p))

right:

p1 = iff(im!=0 and re!=0, 2*pi/atan(im/re), nz(p)), where pi = 3.14.5926

Phase, line 30

wrong:

phase = atan(q1 / i1)

right:

phase = 180/pi * atan(q1 / i1)

Until these corrections are made - the alpha value for MAM on line 34 is always bigger than fl=0.5, and as a result it never changes in the later calculation of the EMA. This MESA simply does not adapt to price changes. The alpha value stays constant 0.5 resulting in plotting the EMA(3) basically all the time. And the FAMA becomes EMA(7) of MAMA.

I believe I spotted similar coding issue in some other Ehlers based indicators, I can't unfortunately recall anymore which ones.

But apart from that I can only wish LazyBear to continue his great work for the community, big respect!

And this is how my version of MESA looks like

The choppiness of MESA is the confirmation of its adaptive nature. On fast price advances, it quickly slides along, whereas in the congested areas it flattens on retracements, because the alpha decreases and the EMA period increases.

Hope this brings big profits to everybody, all the best!

Final correction:

>>where pi = 3.14.5926

pi = 3.1415926 indeed.

I can't code the corrections you made, error message...

Thank a lot for your contribution!!!

Once again:

Add between line 10 and 11:

pi = 3.1415926

Change line 21 (old count before you added pi)

p1 = iff(im!=0 and re!=0, 2*pi/atan(im/re), nz(p))

line 30 (old count again):

phase = 180/pi * atan(q1 / i1)

that should be all.

And I think I've finally figured out what causes earlier submission of my messages = if I paste a piece of code that has an invisible end-of-line character (cr/lf), the form treats it as ENTER button and submits the message. maybe this his something TradingView team can fix?

EHLERS MESA ADAPTIVE MOVING AVERAGE by Lazybear copy.

I don't know where my error is

p

without that, the script throws an error during compile,

Error: Undeclared identifier `p`;

please confirm your working script contains p

so the prior post, you need p[1] typed using html entity code

p open square bracket 1 closed square bracket

here is the chart with Lazy Bears original script (green & red lines), vs the modifications by ekoronin (pink & aqua lines)

Lazy Bear's script hugs the price closer, which helps you get in/ out faster with a change in the trend at the ma crossover. that seems to be better for reversion to the mean instruments such as forex.

Ekoronin's modification may be truer to Ehler's original script, which may be targeted toward equities with strong trends and help you stay in the trade longer (months) without being stopped out due to pullbacks, which is described by Ehler in his original paper.

Ekoronin I appreciate the mods you have made, but for my use in 2 hour forex binary trades, I will stick with the original script, even if it is technically incorrect ;)

I compared this script vs 2 exp moving averages, and it behaves very close to EMA 8 hl2 and EMA 3 hl2, on both 5 min bars and 2 hr bars.

so now I'm probably dropping this concept.

I searched for Ehler because I just listened to his interview on Better Systems Trader podcast, and his comments on the MESA stuff sounded great. Now I'm having doubts. I'll check out some more of LB's Ehler scripts to see if those work better for my needs.