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Thanks Rakesh. I've tried underneath mentioned AFL code for Fourier analysis. It does something but I have some questions :
1. I have the feeling that the code uses a lot of computer power. When modifying the parameters it takes several seconds ( about 5 sec ) before I have a result on the graph. I am using a Ghz 2.6 CPU with 1GB internal and have never seen my computer so slow. Do you have the same experience ?
2. What I would like to see is a couple of sine waves being the harmonics of the original time series. So more or less the same picture as Fred's Cycles. But that's not what I get. Also the calculations for the Fourier analysis does not look familiar to me. Where can I find the logical background behind these formulas ?
Ton.
----- Original Message -----
From: Rakesh Sahgal
To: amibroker@xxxxxxxxxxxxxxx
Sent: Tuesday, September 05, 2006 2:12 PM
Subject: Re: [amibroker] Re: Cycles and Mesa
If you are interested in Fourier Analysis in AB environment you should refer to the work of Dmitris Tsokasis who shared his work on Fourier Analysis with the group. Am pasting below his code. I have never used it and would not know how to apply it in a meaningful manner. Hope you find it useful.
R
===============================
// Elementary Fourier analysis, by D. Tsokakis, May 2004
t=Cum(1)-1;
A=Param("Rsi",50,1,100,1);
B=Param("smooth",100,1,120,1);
C1=MA(RSI(A),B);
start=Cum(IsTrue(C1))==1;
t1=ValueWhen(start,t);
PlotShapes(shapeDownTriangle*start,colorYellow);
C10=ValueWhen(start,C1);Plot(C1,"C1",colorBlack,8);
GraphXSpace=2;
x = Cum(1);
lastx = LastValue( x );
Daysback = LastValue(Cum(IsTrue(C1)));
aa = LastValue( LinRegIntercept( C1, Daysback) );
bb = LastValue( LinRegSlope( C1, Daysback ) );
yy = Aa + bb * ( x - (Lastx - DaysBack) );
yy=IIf( x >= (lastx - Daysback), yy, -1e10 );
Plot( yy, "yy", colorRed );
detrend=C1-yy;
new1=detrend;Hor=LastValue(Cum(new1)/Cum(IsTrue(C1)));
pi=4*atan(1);n=12;
// Fundamental period, crude approximation
error00=10000;per01=0;g01=0;phi01=0;stg0=0.5;stp0=100;
for(phi=0;phi<2*pi;phi=phi+pi/n)
{
for(g=0.5;g<=8;g=g+stg0)
{
for(per=300;per<=1000;per=per+stp0)
{f=1/per;
y=Hor+g*sin(2*pi*f*(t-t1)+phi);
error=LastValue(Cum(abs(y-new1)));
if(error<error00)
{error00=error;per01=per;g01=g;phi01=phi;}
}}}
f01=1/per01;y01=Hor+g01*sin(2*pi*f01*(t-t1)+phi01);
Plot(y01+yy,"y01",colorSkyblue,4);
Title=Name()+" [ Sample="+WriteVal(Daysback,1.0)+" bars ]"+"\nyS0="+WriteVal(Hor,1.2)+
"\nyS01="+
WriteVal(g01,1.1)+"*sin(2*pi*(1/"+
WriteVal(per01,1.0)+")*(t-t1)+"+
WriteVal(12*phi01/pi,1.0)+"*pi/"+WriteVal(n,1.0)+"), Error1 ="+
WriteVal(LastValue(Cum(abs(y01-new1))),1.0)+", Error1/bar ="+
WriteVal(2*LastValue(Cum(abs(y01-new1)))/Daysback,1.2)+" %";;
// Fundamental period, detailed approximation
error0=10000;per1=0;g1=0;phi1=0;stg=0.5;stp=10;
for(phi=0;phi<2*pi;phi=phi+pi/n)
{
for(g=0.5;g<=8;g=g+stg)
{
for(per=per01-stp0;per<=per01+stp0;per=per+stp)
{f=1/per;
y=Hor+g*sin(2*pi*f*(t-t1)+phi);
error=LastValue(Cum(abs(y-new1)));
if(error<error0)
{error0=error;per1=per;g1=g;phi1=phi;}
}}}
f1=1/per1;y1=Hor+g1*sin(2*pi*f1*(t-t1)+phi1);
Plot(y1+yy,"y1",colorBlue,4);
Title=Title+
"\nyS1="+
WriteVal(g1,1.1)+"*sin(2*pi*(1/"+
WriteVal(per1,1.0)+")*(t-t1)+"+
WriteVal(12*phi1/pi,1.0)+"*pi/"+WriteVal(n,1.0)+"), Error1 ="+
WriteVal(LastValue(Cum(abs(y1-new1))),1.0)+", Error1/bar ="+
WriteVal(2*LastValue(Cum(abs(y1-new1)))/Daysback,1.2)+" %";;
// 2nd Harmonic
error0=10000;
for(phi=0;phi<2*pi;phi=phi+pi/n)
{
for(g=0;g<=8;g=g+0.1)
{
per2=per1/2;f=1/per2;
y2=y1+g*sin(2*pi*f*(t-t1)+phi);
error2=LastValue(Cum(abs(y2-new1)));
if(error2<error0)
{error0=error2;g2=g;phi2=phi;}
}}
f2=1/per2;y2=y1+g2*sin(2*pi*f2*(t-t1)+phi2);
Plot(y2+yy,"y1",colorYellow,8);
Title=Title+
"\nyS2="+
WriteVal(g2,1.1)+"*sin(2*pi*(1/"+
WriteVal(per2,1.0)+")*(t-t1)+"+
WriteVal(12*phi2/pi,1.0)+"*pi/"+WriteVal(n,1.0)+"), Error2 ="+
WriteVal(LastValue(Cum(abs(y2-new1))),1.0)+", Error2/bar ="+
WriteVal(2*LastValue(Cum(abs(y2-new1)))/Daysback,1.2)+" %";;
// 3rd Harmonic
error0=10000;
for(phi=0;phi<2*pi;phi=phi+pi/n)
{
for(g=0;g<=8;g=g+0.1)
{
per3=per2/2;f=1/per3;
y3=y2+g*sin(2*pi*f*(t-t1)+phi);
error3=LastValue(Cum(abs(y3-new1)));
if(error3<error0)
{error0=error3;g3=g;phi3=phi;}
}}
f3=1/per3;y3=y2+g3*sin(2*pi*f3*(t-t1)+phi3);
Plot(y3+yy,"y1",colorWhite,8);
Title=Title+
"\nyS3="+
WriteVal(g3,1.1)+"*sin(2*pi*(1/"+
WriteVal(per3,1.0)+")*(t-t1)+"+
WriteVal(12*phi3/pi,1.0)+"*pi/"+WriteVal(n,1.0)+"), Error3 ="+
WriteVal(LastValue(Cum(abs(y3-new1))),1.0)+", Error3/bar ="+
WriteVal(2*LastValue(Cum(abs(y3-new1)))/Daysback,1.2)+" %";
/*
===============================
On 9/5/06, Ton Sieverding <ton.sieverding@xxxxxxxxxx> wrote:
I certainly like what I see Fred. But do you have the AFL code for this picture also ?
Is this based on Fourier stuff ? I have tried to find the FTT instructions in AFL but cannot find them. Do they exist in AFL or did you use some special DLL ?
Kind regards,
Ton Sieverding.
----- Original Message -----
From: Fred Tonetti
To: amibroker@xxxxxxxxxxxxxxx
Sent: Tuesday, September 05, 2006 6:18 AM
Subject: [amibroker] Re: Cycles and Mesa
For example ?
<<...>>
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