[GYTS] Ultimate Smoother (3-poles + 2 poles)Ultimate Smoother (3-pole)
🌸 Part of GoemonYae Trading System (GYTS) 🌸
🌸 --------- INTRODUCTION --------- 🌸
💮 Release of 3-Pole Ultimate Smoother
This indicator presents a new 3-pole version of John Ehlers' Ultimate Smoother (2024) . This results in an unconventional filter that exhibits effectively zero lag in practical trading applications, regardless of the set period. By using a 2-pole high-pass filter in its design, it responds to price direction changes on the same bar, while still allowing the user to control smoothness.
💮 What is the Ultimate Smoother?
The original Ultimate Smoother is a revolutionary filter designed by John Ehlers (2024) that smooths price data with virtually zero lag in the pass band. While conventional filters always introduce lag when removing market noise, the Ultimate Smoother maintains phase alignment at low frequencies while still providing excellent noise reduction.
💮 Mathematical Foundation
The Ultimate Smoother achieves its remarkable properties through a clever mathematical approach:
1. Instead of directly designing a low-pass filter (like traditional moving averages), it subtracts a high-pass filter from an all-pass filter (the original input data).
2. At very low frequencies, the high-pass filter contributes almost nothing, so the output closely matches the input in both amplitude and phase.
3. At higher frequencies, the high-pass filter's response increasingly matches the input data, resulting in cancellation through subtraction.
The 3-pole version extends this principle by using a higher-order high-pass filter, requiring additional coefficients and handling more terms in the numerator of the transfer function.
🌸 --------- USAGE GUIDE --------- 🌸
💮 Period Parameter Behaviour
The period parameter in the 3-pole Ultimate Smoother works somewhat counterintuitively:
- Longer periods: Result in less smooth, but more responsive following of the price. The filter output more closely tracks the input data.
- Shorter periods: Produce smoother output but may exhibit overshooting (extrapolating price movement) for larger movements.
This is different from most filters where longer periods typically produce smoother outputs with more lag.
💮 When to Choose 3-Pole vs. 2-Pole
- Choose the 3-pole version when you need zero-lag but want to control the smoothness
- Choose the 2-pole version when you are okay with some lag with the benefit of more smoothness.
🌸 --------- ACKNOWLEDGEMENTS --------- 🌸
This indicator builds upon the pioneering work of John Ehlers, particularly from his article April 2024 edition of TASC's Traders' Tips . The original version is published on TradingView by @PineCodersTASC .
This 3-pole extension was developed by @GoemonYae . Feedback is highly appreciated!
Ultimatesmoother
Percent Trend Change [BigBeluga]The Percent Trend Change indicator is a trend-following tool that provides real-time percentage changes during trends based on entry prices. Using John Ehlers’ Ultimate Smoother filter, it detects trend direction, identifies uptrends and downtrends, and tracks percentage changes during the trend. Additionally, it has a channel that can be toggled on or off, and the width can be customized, adding an extra visual layer to assess trend strength and direction.
NIFTY50:
META:
🔵 IDEA
The Percent Trend Change indicator helps traders visualize the progression of a trend with percentage changes from entry points. It identifies trends and marks percentage changes during the trend, making it easier to assess the strength and sustainability of the ongoing trend.
The use of John Ehlers' Ultimate Smoother filter helps detect trend changes based on consecutive price movements over five bars, making it highly responsive to short- and medium-term trends.
🔵 KEY FEATURES & USAGE
◉ Ultimate Smoother Filter for Trend Detection:
The trend is detected using the Ultimate Smoother filter. If the smoothed line rises five times in a row, the indicator identifies an uptrend. If it falls five times in a row, it identifies a downtrend.
◉ Trend Entry with Price Labels:
The indicator marks trend entry points with up (green) and down (red) triangles. These triangles are labeled with the entry price, allowing traders to track the starting price of the trend.
◉ Percentage Change Labels During Trends:
During a trend, the indicator periodically plots percentage change labels based on the bar period set in the settings.
In an uptrend, positive changes are marked in green, while negative changes are marked in orange. In a downtrend, negative changes are marked in red, while positive changes are marked in orange.
Each plotted percentage label also includes a count of the trend points, allowing traders to track how many times the percentage labels have been plotted during the current trend.
These percentage labels help traders understand how much the price has changed since the trend began and can be used to define potential take-profit targets.
◉ Channel Toggle and Width Customization:
The indicator includes a channel that visually highlights the trend. Traders can toggle this channel on or off, and the width of the channel can be adjusted to match individual preferences. The channel helps visualize the overall trend direction and the range within which price fluctuations occur.
🔵 CUSTOMIZATION
Smoother Length: Adjusts the length of the Ultimate Smoother filter, affecting how responsive the indicator is to price fluctuations.
Bars Percent: Defines how many bars must pass before a new percentage label is plotted. A smaller value plots labels more frequently, while a higher value shows fewer labels.
Channel Width & Show Channel: The width of the channel can be customized, and traders can toggle the channel on or off depending on their preferences.
Color Customization: Traders can customize the colors for the uptrend, downtrend, and percentage labels, providing flexibility in how the indicator is displayed on the chart.
By combining trend-following capabilities with percentage change tracking, the Percent Trend Change indicator offers a powerful tool for identifying trend direction and setting potential take-profit targets. The ability to customize the channel and percentage labels makes it adaptable to various trading strategies.
TASC 2024.11 Ultimate Strength Index█ OVERVIEW
This script implements the Ultimate Strength Index (USI) indicator, introduced by John Ehlers in his article titled "Ultimate Strength Index (USI)" from the November 2024 edition of TASC's Traders' Tips . The USI is a modified version of Wilder's original Relative Strength Index (RSI) that incorporates Ehlers' UltimateSmoother lowpass filter to produce an output with significantly reduced lag.
█ CONCEPTS
Many technical indicators, including the RSI, lag due to their heavy reliance on historical data. John Ehlers reformulated the RSI to substantially reduce lag by applying his UltimateSmoother filter to upward movements ( strength up - SU ) and downward movements ( strength down - SD ) in the time series, replacing the standard process of smoothing changes with rolling moving averages (RMAs). Ehlers' recent works, covered in our recent script publications, have shown that the UltimateSmoother is an effective alternative to other classic averages, offering notably less lag in its response.
Ehlers also modified the RSI formula to produce an index that ranges from -1 to +1 instead of 0 to 100. As a result, the USI indicates bullish conditions when its value moves above 0 and bearish conditions when it falls below 0.
The USI retains many of the strengths of the traditional RSI while offering the advantage of reduced lag. It generally uses a larger lookback window than the conventional RSI to achieve similar behavior, making it suitable for trend trading with longer data lengths. When applied with shorter lengths, the USI's peaks and valleys tend to align closely with significant turning points in the time series, making it a potentially helpful tool for timing swing trades.
█ CALCULATIONS
The first step in the USI's calculation is determining each bar's strength up (SU) and strength down (SD) values. If the current bar's close exceeds the previous bar's, the calculation assigns the difference to SU. Otherwise, SU is zero. Likewise, if the current bar's close is below the previous bar's, it assigns the difference to SD. Otherwise, SD is zero.
Next, instead of the RSI's typical smoothing process, the USI's calculation applies the UltimateSmoother to the short-term average SU and SD values, reducing high-frequency chop in the series with low lag.
Finally, this formula determines the USI value:
USI = ( Ult (SU) − Ult (SD)) / ( Ult (SU) + Ult (SD)),
where Ult (SU) and Ult (SD) are the smoothed average strength up and strength down values.
