The Digital PCCI Filter is a specialized technical analysis tool designed to smooth out market noise and identify underlying trends by applying a sophisticated mathematical smoothing process. Unlike standard moving averages that simply average past prices, this script utilizes a high-precision "digital filter" logic to isolate significant price movements from random fluctuations.
Core Operational Logic
The primary objective of this script is to distinguish between "signal" (actual market movement) and "noise" (minor, insignificant price jitter). It achieves this through the following systematic steps:
1. Pre-defined Weighting System The script contains a large, pre-calculated set of mathematical constants (coefficients). These numbers act as a weighting system. Each coefficient determines exactly how much influence a specific past price point has on the current filtered result. This allows the tool to prioritize information in a way that mimics advanced digital signal processing used in engineering and physics.
2. Weighted Cumulative Calculation Instead of treating every price point equally, the logic iterates through a window of historical data. It multiplies each historical price by its corresponding coefficient from the internal list and sums them together. This creates a "theoretical response"—a representation of where the price should be if it were following a clean, uninterrupted trend.
3. Deviation Analysis Once the script calculates this theoretical weighted response, it compares it to the actual current market price. The final value displayed on your chart is the difference between the real-time price and the filtered "response."
Visual Representation and Purpose
By calculating this difference, the indicator effectively filters out the "chatter" of the market. Because the logic is based on a high number of data points (over 100), it provides a more stable view of price dynamics. It helps traders see the underlying momentum by subtracting the expected noise from the current price action, leaving behind a clearer picture of the market's true direction.
Key Characteristics
- Precision Smoothing: By using a specific set of coefficients rather than a simple average, it avoids the significant "lag" typically associated with traditional indicators while maintaining high stability.
- High Data Density: The tool requires a history of at least 106 bars to begin its calculations, ensuring that the mathematical model has enough context to produce accurate results.
- Dynamic Calculation: The script automatically updates with every new price tick, recalculating the weighted sum to ensure the filter remains current with live market conditions.
/*-----------------------------+
| |
| Shared by www.Aptrafx.com |
| |
+------------------------------*/
//+------------------------------------------------------------------+
//| Digital PCCI Filter |
//| Copyright (c) Sergey Iljukhin, Novosibirsk. |
//| mailto:sergey@tibet.ru http://fx.qrz.ru/ |
//+------------------------------------------------------------------+
#property copyright "Copyright (c) 2005, Sergey Iljukhin, Novosibirsk"
#property link "mailto:sergey@tibet.ru"
// --- Parameters: P1=38, D1=28, A1=40
// --- P2=52, D2=31, A2=40, Ripple=0.08, Delay=0
// --- Order [Auto]=106, Calculate method=2
#property indicator_separate_window
#property indicator_buffers 1
#property indicator_color1 Red
//---- buffers
double FilterBuffer[];
double Values[] = {
+0.1177628838235,
+0.1170077388431,
+0.1147601209029,
+0.1110729054065,
+0.1060324421434,
+0.0997560988008,
+0.0923890376402,
+0.0841000389219,
+0.0750766919597,
+0.0655202662708,
+0.0556401583046,
+0.0456482572592,
+0.0357530528012,
+0.02615415804227,
+0.01703731282680,
+0.00856960311288,
+0.000895555708556,
-0.00586627422066,
-0.01162552971203,
-0.01632152444323,
-0.01992414580732,
-0.02243335117589,
-0.02387813894599,
-0.02431430200598,
-0.02382176331725,
-0.02250140527159,
-0.02047075493180,
-0.01786000052706,
-0.01480733499641,
-0.01145463232852,
-0.00794304696010,
-0.00440829083275,
-0.000977238472653,
+0.002235823933755,
+0.00513191787383,
+0.00762972457736,
+0.00966747623918,
+0.01120310303187,
+0.01221499285956,
+0.01270127547603,
+0.01267881242200,
+0.01218165493397,
+0.01125820035359,
+0.00996954486984,
+0.00838605323109,
+0.00658436935337,
+0.00464439195323,
+0.002645759417416,
+0.000666068159555,
-0.001222776729259,
-0.002956488520058,
-0.00448011021214,
-0.00574988855361,
-0.00673332989225,
-0.00741117882839,
-0.00777644547070,
-0.00783388153265,
-0.00759966748743,
-0.00709931269272,
-0.00636769053766,
-0.00544559940274,
-0.00437852874428,
-0.00321542503890,
-0.002005580069262,
-0.000798178859997,
+0.000361723322003,
+0.001433101593600,
+0.002380073229874,
+0.00317453700490,
+0.00379492177651,
+0.00422884523807,
+0.00447038314289,
+0.00452100306476,
+0.00439082398691,
+0.00409492037175,
+0.00365528338580,
+0.003096238149856,
+0.002446112685573,
+0.001736376831290,
+0.000996103380422,
+0.0002557237615143,
-0.000458282529397,
-0.001119581482823,
-0.001704893115208,
-0.002199032152313,
-0.002586916898054,
-0.002861741841535,
-0.003018651749353,
-0.003060101508137,
-0.002997112675297,
-0.002834938217095,
-0.002589089321820,
-0.002272072078644,
-0.001902835889698,
-0.001502872027811,
-0.001077466851623,
-0.000655481642188,
-0.0002511660753314,
+0.0001137882502083,
+0.000426098842482,
+0.000714775119642,
+0.000916639580735,
+0.001063116482197,
+0.001143113996535,
+0.001159315803654,
+0.00922554212244
};
//+------------------------------------------------------------------+
//| Digital filter indicator initialization function |
//+------------------------------------------------------------------+
int init()
{
string short_name;
//---- indicator line
SetIndexStyle(0,DRAW_LINE);
SetIndexBuffer(0,FilterBuffer);
SetIndexDrawBegin(0,106);
//----
return(0);
}
//+------------------------------------------------------------------+
//| Digital filter main function |
//+------------------------------------------------------------------+
int start()
{
int i,counted_bars=IndicatorCounted();
double response = 0.0;
//----
if(Bars<=106) return(0);
//---- initial zero
if(counted_bars<106)
for(i=1;i<=0;i++) FilterBuffer[Bars-i]=0.0;
//----
int limit =Bars-106-1;
if(counted_bars>=106) limit=Bars-counted_bars-1;
for (i=0; i<limit; i++)
{
response = 0.0;
for (int k=0; k<ArraySize(Values); k++)
response += Values[k] * iClose(NULL, 0, i+k);
FilterBuffer[i]=iClose(NULL, 0, i) - response;
}
return(0);
}
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