LazyBear

Ehlers Smoothed Stochastic & RSI with Roofing Filters

Roofing filters, first discussed by Mr.John Ehlers, act as a passband, filtering out unwanted noise from market data and accentuating turning points.

I have included 2 indicators with filters enabled. Both support double smoothing via options page. All the parameters are configurable.

Info on Roofing Filter and Ehlers Super Smoother:
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The Ehlers' Roofing Filter is an expansion on Ehlers Super Smoother Filter, both being smoothing techniques based on analog filters. This filter aims at reducing noise in price data.

In Super Smoother Filter, regardless of the time frame used, all waves having cycles of less than 10 bars are considered noise (customizable via options page). The Roofing Filter uses this principle, however, it also creates a so-called "roof" by eliminating wave components having cycles greater than 48 bars which are perceived as "spectral dilation". Thus, the filter only passes those spectral components whose periods are between 10 and 48 bars. This technique noticeably reduces indicator lag and also helps assess turning points more accurately.

More info:
- Spectral dilation paper: www.mesasoftware.com...SpectralDilation.pdf
- John Ehlers presentation: www.youtube.com/watch?v=BR5pDiPY...

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If you want to use RSI %B and Bandwidth, follow this guide to "Make mine" this chart and get access to the source:
drive.google.co...mNrZUY1dTA/edit?usp=sharin...

For the complete list of my indicators, check this post:

List of my free indicators: bit.ly/1LQaPK8
List of my indicators at Appstore: blog.tradingview.com/?p=970
开源脚本

本着真正的TradingView精神,该脚本的作者将其开源发布,以便交易者可以理解和验证它。为作者喝彩!您可以免费使用它,但在出版物中重复使用此代码受网站规则的约束。 您可以收藏它以在图表上使用。

免责声明

这些信息和出版物并不意味着也不构成TradingView提供或认可的金融、投资、交易或其它类型的建议或背书。请在使用条款阅读更多信息。

想在图表上使用此脚本?
//
// @author LazyBear 
// List of all my indicators: https://www.tradingview.com/v/4IneGo8h/
//
study("Ehlers Smoothed Stochastic [LazyBear]", shorttitle="ESSTOCH_LB")
PI=3.14159265359
applyDoubleSmoothing=input(false, type=bool)
length = input (14, title="Stoch Length")
lengthMA=input (3, title="Stoch MA Length")
over_bought = input (.8)
over_sold = input (.2)
src=close
roofingBandUpper=input(48)
roofingBandLower=input(10)

EhlersSuperSmootherFilter(price, lower) =>
	a1 = exp(-PI * sqrt(2) / lower)
	coeff2 = 2 * a1 * cos(sqrt(2) * PI / lower)
	coeff3 = - pow(a1,2)
	coeff1 = 1 - coeff2 - coeff3
	filt = coeff1 * (price + nz(price[1])) / 2 + coeff2 * nz(filt[1]) + coeff3 * nz(filt[2]) 
	filt

EhlersRoofingFilter(price, smoothed, upper, lower) =>  
	alpha1 = (cos(sqrt(2) * PI / upper) + sin (sqrt(2) * PI / upper) - 1) / cos(sqrt(2) * PI / upper)
	highpass = pow(1 - alpha1 / 2, 2) * (price - 2 * nz(price[1]) + nz(price[2])) + 
 	            2 * (1 - alpha1) * nz(highpass[1]) - pow(1 - alpha1, 2) * nz(highpass[2])
	smoothed ? EhlersSuperSmootherFilter(highpass, lower) : highpass
    
EhlersStochastic(price, length, applyEhlerSmoothing, roofingBandUpper, roofingBandLower) =>
	filt = EhlersRoofingFilter(price, applyEhlerSmoothing, roofingBandUpper, roofingBandLower)
	highestP = highest(filt, length)
	lowestP = lowest(filt, length)
	iff ((highestP - lowestP) != 0, (filt - lowestP) / (highestP - lowestP),  0)


stoch=EhlersSuperSmootherFilter(EhlersStochastic(src, length, applyDoubleSmoothing, roofingBandUpper, roofingBandLower), roofingBandLower)
hline (over_bought)
hline (over_sold)
hline((over_bought+over_sold)/2)
plot(sma(stoch, lengthMA), color=red, linewidth=1)
plot(stoch, color=blue, linewidth=1)