Author: Andrey N. Bolkonsky

Ergodic DTI-Oscillator (based on Directional Trend Index) is described by William Blau in the book "Momentum, Direction, and Divergence: Applying the Latest Momentum Indicators for Technical Analysis".

• WilliamBlau.mqh must be placed in terminal_data_folder\MQL5\Include\
• Blau_Ergodic_DTI.mq5 must be placed in terminal_data_folder\MQL5\Indicators\

Ergodic DTI-Oscillator by William Blau

Calculation:

The Ergodic DTI-Oscillator is defined as follows:

where:

• Ergodic_DTI() - Ergodic Line - Directional Trend Index DTI(q,r,s,u);
• SignalLine() - Signal Line - EMA(ul), applied to Ergodic Line;
• ul - smoothing period of a Signal Line.

Input parameters:

• graphic plot #0 - Ergodic Line (Directional Trend Index тренда):
• q - number of bars, used in calculation of DTI (by default q=2);
• r - period of the 1st EMA, applied to DTI (by default r=20);
• s - period of the 2nd EMA, applied to result of the 1st smoothing (by default s=5);
• u - period of the 3rd EMA, applied to result of the 2nd smoothing (by default u=3);
• graphic plot #1 - Signal Line:
• ul - smoothing period of a Signal Line - EMA(ul), applied to Ergodic (by default ul=3);

Notes:

• q>0;
• r>0, s>0, u>0. If  r, s or u are equal to 1, smoothing is not used;
• ul>0. If ul=1, the Signal Line and Ergodic Line are the same;
• Min. rates = (q-1+r+s+u+ul-4+1).