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John F. Ehlers' article, “Decyclers”, presented a simple decycler and his Decycle Oscillator. The formulas for these indicators are listed below: Simple Decycler: Code:ti:= 125;{time periods}
alpha1:= (Cos(.707*360/ti) + Sin(.707*360/ti) -1)/Cos(.707*360/ti);
HP:= (1-alpha1/2)*(1-alpha1/2)*(C - Ref(2*C,-1) + Ref(C,-2)) +
2*(1-alpha1)*PREV - (1-alpha1)*(1-alpha1)*Ref(PREV,-1);
decycle:= C - hp;
Decycle;
1.005*decycle;
0.995*decycle
Decycle Oscillator: Code:ti:= 125;{time periods}
K:= 1; {scaler}
alpha1:= (Cos(.707*360/ti) + Sin(.707*360/ti) -1)/Cos(.707*360/ti);
HP:= (1-alpha1/2)*(1-alpha1/2)*(C - Ref(2*C,-1) + Ref(C,-2)) +
2*(1-alpha1)*PREV - (1-alpha1)*(1-alpha1)*Ref(PREV,-1);
decycle:= C - hp;
alpha2:= (Cos(.707*360/(.5*ti)) + Sin(.707*360/(.5*ti)) -1)/Cos(.707*360/(.5*ti));
DecycleOsc:= (1-alpha2/2)*(1-alpha2/2)*(decycle - Ref(2*decycle,-1) + Ref(decycle,-2)) + 2*(1-alpha2)*PREV - (1-alpha2)*(1-alpha2)*Ref(PREV,-1);
100*k*DecycleOsc/C
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