This script plots three moving averages on the price chart: a fast EMA or SMA with 10 periods, a slow EMA or SMA with 20 periods, and a trend EMA or SMA with 100 periods. It signals trend changes by drawing a white cross when the fast moving average crosses ab
Indicator · Pine Script v4 · On the chart
Butterworth Filter
The Butterworth Filter indicator applies digital signal processing techniques to smooth price data directly on the main price chart.
GitHub stars948on the repository
Pine versionv4older, still runs
Lines of code56
Settings4inputs
LicenceGPL-3.0
Last update10 days ago18 Oct 2026
Add It to Your TradingView Chart
- 1Copy the scriptPress Copy script above, or the copy button on the code below.
- 2Open the Pine EditorOpen a TradingView chart and choose Pine Editor at the bottom of the screen.
- 3Paste over the templateCreate a new indicator, select all of the template text and paste. Press Save and give it a name.
- 4Add it to the chartPress Add to chart, then adjust the settings with the gear icon next to its name.
Source Code
56 lines of Pine Script v4 from movings/butterworth_filter.pine, published under GPL-3.0. Keep the author's credit and licence lines when you reuse it.
//@version=4
// Copyright (c) 2018-present, Alex Orekhov (everget)
// Butterworth Filter script may be freely distributed under the terms of the GPL-3.0 license.
study("Butterworth Filter", shorttitle="BF", overlay=true)
length = input(title="Length", type=input.integer, minval=1, defval=14)
poles = input(title="Poles", type=input.integer, defval=2, options=[2, 3])
src = input(title="Source", type=input.source, defval=close)
highlight = input(title="Highlight ?", type=input.bool, defval=true)
PI = 2 * asin(1)
_bf2(src, length) =>
a = exp(-sqrt(2) * PI / length)
b = 2 * a * cos(sqrt(2) * PI / length)
src1 = nz(src[1], src)
src2 = nz(src[2], src1)
bf = 0.0
bf1 = nz(bf[1], src)
bf2 = nz(bf[2], bf1)
bf :=
b * bf1 -
pow(a, 2) * bf2 +
(1 - b + pow(a, 2)) / 4 * (src + 2 * src1 + src2)
bf
_bf3(src, length) =>
a = exp(-PI / length)
b = 2 * a * cos(1.738 * PI / length)
c = pow(a, 2)
src1 = nz(src[1], src)
src2 = nz(src[2], src1)
src3 = nz(src[3], src2)
bf = 0.0
bf1 = nz(bf[1], src)
bf2 = nz(bf[2], bf1)
bf3 = nz(bf[3], bf2)
bf :=
(b + c) * bf1 -
(c + b * c) * bf2 +
pow(c, 2) * bf3 +
(1 - b + c) * (1 - c) / 8 * (src + 3 * src1 + 3 * src2 + src3)
bf
bf = poles == 2
? _bf2(src, length)
: _bf3(src, length)
bfColor = highlight ? bf > bf[1] ? color.green : color.red : #6d1e7f
plot(bf, title="BF", linewidth=2, color=bfColor, transp=0)
Overview
Butterworth Filter calculates either a two-pole or three-pole filter based on a customizable length parameter and price source. When optional color highlighting is active, the filter line dynamically changes color—turning green when sloping upward and red when sloping downward—to assist traders in identifying current trend direction. It plots directly on the main chart pane.
- 2-pole and 3-pole digital filtering
- Dynamic trend color highlighting
- Customizable filter length and price source
- Price overlay indicator line
Details
Published by
everget on GitHub
Type
Indicator, Pine Script v4
Draws
On the price chart
Category
Trend, Moving averages
Markets
Any symbol
Timeframes
Any timeframe
Risk Notes
No repainting, lookahead or stacked entries were found in its code or README. That says nothing about how well it works: test it first.
Repository
Topics
pinepinescripttechnical-indicatorsindicatorsoscillatorbandsaveragetradingviewindicatormoving-average
Settings
The inputs you can change from the gear icon on the chart. Defaults are the author's.
| Setting | Type | Default | Variable |
|---|---|---|---|
| Length | int | 14 | length |
| Poles | int | 2 | poles |
| Source | source | close | src |
| Highlight ? | bool | true | highlight |
Third-party code. ForexR did not write, test or endorse this script, and the summary above was generated automatically from its code and README. Indicators describe the past, and a strategy's backtest can look better than live trading, especially when a script repaints. Check it in the Strategy Tester and on a demo account before you rely on it.
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