*In TASC 8/24, John Ehlers presented a new algorithm for separating the trend line from a price curve, using spectral analysis functions. Trend lines are only useful for trading when they have little lag, so that trend changes can immediately trigger trade signals. The usual suspects like SMA, WMA, EMA are too laggy for this. Let’s see how good this new algorithm works. The functions below are a 1:1 conversion from Ehlers’ TradeStation code to C.*

var HighPass3(vars Data, int Length) { var f = 1.414*PI/Length; var a1 = exp(-f); var c2 = 2*a1*cos(f); var c3 = -a1*a1; var c1 = (1+c2-c3)/4; vars HP = series(0,4); return HP[0] = c1*(Data[0] - 2*Data[1] + Data[2]) + c2*HP[1] + c3*HP[2]; } var TROC; var Trend(vars Data,int Length1,int Length2) { var HP1 = HighPass3(Data,Length1); var HP2 = HighPass3(Data,Length2); vars Trends = series(HP1-HP2,2); TROC = (Length2/6.28)*(Trends[0]-Trends[1]); return Trends[0]; }

The filter name is **HighPass3** because Zorro got already threee other highpass filters in its library. We apply the **trend** function to an ES chart from 2022-2024, and plot also the highpass filter and the intermediate TROC variable:

void run() { BarPeriod = 1440; StartDate = 20221001; EndDate = 20240401; LookBack = 250; assetAdd("ES","YAHOO:ES=F"); asset("ES"); plot("HP",HighPass3(seriesC(),250),NEW,RED); plot("Trend",Trend(seriesC(),250,40),NEW,RED); plot("ROC",TROC,0,BLUE); }

The resulting chart:

We can see that the red trend line in the bottom chart gives a pretty good approximation of the price curve trend with no noticable lag. The code can be downloaded from the 2024 script repository.

Apologies for my rookie naivete here (still learning), but how might one use this for trade entry/exit signals?

Have two of these and look for crossovers?

Genuinely curious. It seems like it follows price closely, as you stated, but couldn’t I just track price directly in that case?

Again, pardon the likely triviality of this question.

Normally you enter and exit at the valleys and peaks of a trend line.

Why not use the price curve directly? Because it has a lot more valleys and peaks and will produice a lot false signals.

Thank you for sharing this–looks very promising. I’m keen to use it as a broader market trend indicator. Thanks again. K

Hello sorry to disturb, but what is the code in c# please ?

thank you very much

The code itself should be easy to convert, only problem is that I know no C# platform that supports a ‘series’ function.