Laguerrefilter — Indicators and Strategies

Dynamic Laguerre Filter Bands | Otto This indicator combines trend-following and volatility analysis by enhancing the traditional Laguerre filter with a dynamic, volatility-adjusted band system. Instead of using fixed thresholds, the bands adapt in real-time to changing market conditions by applying smoothed standard deviation calculations. This design keeps the indicator responsive to significant price movements while effectively filtering out short-term market noise, resulting in more accurate trend identification and breakout signals. Core Concept The indicator is built around the following key components: Laguerre Filter: The Laguerre filter is designed to smooth out price data by reducing market noise while still being quick enough to detect real changes in price direction. Its goal is to create a clear, smooth trend line that helps traders/investors focus on the overall market trend without getting distracted by small, random price swings. It uses a parameter called gamma to control how it balances smoothness and responsiveness: A lower gamma gives more weight to recent price data, making the filter react faster to new price changes. This means the trend line is more sensitive but may also be less smooth and more prone to small fluctuations. A higher gamma gives more weight to past price data, making the filter smoother and less sensitive to quick changes. This helps reduce noise and produces a steadier trend line, but it also introduces more lag, meaning the filter reacts slower to new price moves. By adjusting gamma, the Laguerre filter lets you choose the balance between following price changes quickly and having a stable, noise-free trend signal. Standard Deviation: shows how much price varies from the mean. In this indicator, it’s used to measure market volatility. Volatility Bands: The upper and lower bands are based on an EMA-smoothed standard deviation of price. The EMA reduces sudden jumps in volatility, creating smoother and more stable bands that still respond to changing market conditions. These bands are plotted around the Laguerre filter line, expanding and contracting in a controlled way to stay aligned with real market movement while avoiding short-term noise. Signal Logic: A long signal is triggered when the close price crosses above the upper band. A short signal occurs when the close price falls below the lower band. ⚙️ Inputs Source: Price source used in calculations Gamma: Adjusts how much the Laguerre filter responds to price changes. Lower gamma values make the filter react more to recent prices, while higher values give more influence to older data, making the line smoother but slower to respond. Volatility Length: Period used to calculate standard deviation Volatility Smoothing Length: EMA smoothing length for standard deviation Multiplier: Scales the width of the bands based on volatility 📈 Visual Output Laguerre Filter Line: Plots the laguerre filter line, colored dynamically based on signal direction (green for bullish, purple for bearish) Upper & Lower Bands: Volatility-based bands that adjust with market conditions. (green for bullish, purple for bearish) Glow Effect: Optional glow layer to enhance visibility of the laguerre filter trend line (green for bullish, purple for bearish) Bar Coloring: Candlesticks and bar colors reflect the active signal state for fast visual interpretation (green for bullish, purple for bearish) How to Use Apply the indicator to your chart and monitor for signal events: Long Signal: When price closes above the upper band Short Signal: When price closes below the lower band 🔔 Alerts This indicator supports optional alert conditions you can enable for: Long Signal: Close price crossing above the upper band Short Signal: Close price crossing below the lower band ⚠️ Disclaimer: This indicator is intended for educational and informational purposes only. Trading/investing involves risk, and past performance does not guarantee future results. Always test and evaluate indicators/strategies before applying them in live markets. Use at your own risk.

Laguerre Stochastic | Adulari Description: The Laguerre Stochastic is similar to a 4-period regular Stochastic, except that a Laguerre transform has been applied for price smoothing. The Laguerre transform is a mathematical technique that allows smooth indicators to be built using small amounts of data. How do I use it? Never use this indicator as standalone trading signal, it should be used as confluence. When the value is above the middle line this shows the bullish trend is strong. When the value is below the middle line this shows the bearish trend is strong. When the value crosses above the upper line this indicates the trend may reverse downwards. When the value crosses below the lower line this indicates the trend may reverse upwards. When the value crosses above the signal this indicates the current bearish trend is getting weak and may reverse upwards. When the value crosses below the signal this indicates the current bullish trend is getting weak and may reverse downwards. Features: Oscillator value indicating the difference between highs and lows fractioned by the close price. %D value acting as a smoothed version of the %K. Horizontal lines such as oversold, overbought and middle lines, indicating possible interest zones. How does it work? 1 — Calculate regular Stochastic value. 2 — Apply the Laguerre transform. 3 — Calculate %D value by applying smoothing to the %K value.

STD-Filtered, ATR-Adaptive Laguerre Filter [Loxx]STD-Filtered, ATR-Adaptive Laguerre Filter is a standard Laguerre Filter that is first made ATR-adaptive and the passed through a standard deviation filter. This helps reduce noise and refine the output signal. Can apply the standard deviation filter to the price, signal, both or neither. What is the Laguerre Filter? The Laguerre RSI indicator created by John F. Ehlers is described in his book "Cybernetic Analysis for Stocks and Futures". The Laguerre Filter is a smoothing filter which is based on Laguerre polynomials. The filter requires the current price, three prior prices, a user defined factor called Alpha to fill its calculation. Adjusting the Alpha coefficient is used to increase or decrease its lag and it's smoothness. Included: Bar coloring Signals Alerts Loxx's Expanded Source Types

Jurik-Filtered, Adaptive Laguerre PPO [Loxx]Jurik-Filtered, Adaptive Laguerre PPO is an indicator used to find reversals. Smoothing with a Jurik Filter reduces noise and better identifies reversal points. What is Laguerre Filter? The Adaptive Laguerre is based on the Laguerre filter, described by John Ehlers in his paper “Time Warp – Without Space Travel”. It applies a variable gamma factor, based on how well the filter is tracking previous price movement. As with other adaptive moving averages, the Adaptive Laguerre tracks trending markets closely but will see less changes in range-bound markets. The Adaptive Laguerre filter allows for an adjustment of the simple Laguerre filter. When price moves away from the filter, it becomes faster. When price moves sideward, the filter gets slower. Accordingly, this indicator belongs to the same class of moving average as the Kaufman Adaptive Moving Average (KAMA). It similar to the Volatility Index Dynamic Average (VIDYA) developed by Tushar Chande. The Adaptive Laguerre filter is smoother than the VIDYA and will adjust slower to price action after consolidations. What is Jurik Volty? One of the lesser known qualities of Juirk smoothing is that the Jurik smoothing process is adaptive. "Jurik Volty" (a sort of market volatility ) is what makes Jurik smoothing adaptive. The Jurik Volty calculation can be used as both a standalone indicator and to smooth other indicators that you wish to make adaptive. What is the Jurik Moving Average? Have you noticed how moving averages add some lag (delay) to your signals? ... especially when price gaps up or down in a big move, and you are waiting for your moving average to catch up? Wait no more! JMA eliminates this problem forever and gives you the best of both worlds: low lag and smooth lines. Ideally, you would like a filtered signal to be both smooth and lag-free. Lag causes delays in your trades, and increasing lag in your indicators typically result in lower profits. In other words, late comers get what's left on the table after the feast has already begun. Included: -Toggle on/off bar coloring

Ehlers Laguerre Relative Strength Index [CC]The Laguerre Relative Strength Index was created by John Ehlers and this is essentially his version of the RSI but I find that the buy and sell signals work better with his version as you can see. Buy when the line turns green and sell when the line turns red. Let me know if there are any other indicators you want me to publish!

[blackcat] L2 Ehlers Laguerre Filter Level: 2 Background John F. Ehlers introuced Laguerre Filter in his "Cybernetic Analysis for Stocks and Futures" chapter 14 on 2004. Function The Laguerre transform can be represented as an exponential moving average (EMA) low-pass filter (the first term) followed by a succession of allpass elements instead of unit delays (the k − 1 terms). All terms have exactly the same damping factor γ (gamma). We see that these are all pass networks by examining the frequency response. Dr. Ehlers made a filter using the Laguerre elements instead of the unit delay, whose coefficients are also /6 as with the FIR filter. The difference is that we have warped the time between the delay line taps. Key Signal FIR ---> Laguerre Filter fast line Filt ---> Laguerre Filter slow line Pros and Cons 100% John F. Ehlers definition translation of original work, even variable names are the same. This help readers who would like to use pine to read his book. If you had read his works, then you will be quite familiar with my code style. Remarks The 33th script for Blackcat1402 John F. Ehlers Week publication. Readme In real life, I am a prolific inventor. I have successfully applied for more than 60 international and regional patents in the past 12 years. But in the past two years or so, I have tried to transfer my creativity to the development of trading strategies. Tradingview is the ideal platform for me. I am selecting and contributing some of the hundreds of scripts to publish in Tradingview community. Welcome everyone to interact with me to discuss these interesting pine scripts. The scripts posted are categorized into 5 levels according to my efforts or manhours put into these works. Level 1 : interesting script snippets or distinctive improvement from classic indicators or strategy. Level 1 scripts can usually appear in more complex indicators as a function module or element. Level 2 : composite indicator/strategy. By selecting or combining several independent or dependent functions or sub indicators in proper way, the composite script exhibits a resonance phenomenon which can filter out noise or fake trading signal to enhance trading confidence level. Level 3 : comprehensive indicator/strategy. They are simple trading systems based on my strategies. They are commonly containing several or all of entry signal, close signal, stop loss, take profit, re-entry, risk management, and position sizing techniques. Even some interesting fundamental and mass psychological aspects are incorporated. Level 4 : script snippets or functions that do not disclose source code. Interesting element that can reveal market laws and work as raw material for indicators and strategies. If you find Level 1~2 scripts are helpful, Level 4 is a private version that took me far more efforts to develop. Level 5 : indicator/strategy that do not disclose source code. private version of Level 3 script with my accumulated script processing skills or a large number of custom functions. I had a private function library built in past two years. Level 5 scripts use many of them to achieve private trading strategy.

KINSKI Laguerre Filter Wave The "Laguerre Filter Wave" Indicator usually shows market cycles and is a perfect fit for swing traders who trade with market fluctuations. Upward-trends are shown as green lines and optional bands. Downward trends are represented by the color red. Each of the 18 available lines can be adjusted to your own preferences via a gamma factor. You also have the following display options: - "Up/Down Movements: On/Off" - Shows ascending and descending of lines - "Bands: On/Off" - Fills the space between the lines with colors to indicate up or down trends - "Bands: Transparency" - sets the transparency of the fill color - "MA Line: Size" - sets the width of the lines - "MA Line: Transparency" - sets the transparency of the lines

Ehlers Laguerre Filter [CC]The Laguerre Filter was created by John Ehlers (Cybernetic Analysis For Stocks And Futures pg 216) and this indicator works well with letting you know both the short and long term trend as well as a pretty good moving average. If the indicator line is above the black line then it is a long term uptrend and below the black line is a long term downtrend. Buy when the indicator line is green and sell when it turns red. Let me know if there are other scripts you would like to see me publish or if you want something custom done!

Adaptive Laguerre Filter Adaptive Laguerre Filter indicator script. The Adaptive Laguerre Filter was originally developed and described by John Ehlers in his paper `Time Warp – Without Space Travel`. Thanks to @apozdnyakov for the sorting solution.

FREE INDICATOR: Laguerre RSI About: Averages, and the way they are compared and calculated make up a large amount of the indicators out there, so the fun thing about new averages, is how they open up a whole new group of indicators. Usage: This is Laguerre RSI. You'll notice it acts a little different than your normal RSI, and it can be traded in different ways. It can be used as a switch, or to view bursts of momentum. Combine with your style and see if you notice anything. It might just be what you were looking for! Stay tuned for more scripts & ideas by following me on TradingView. Grab the source code here: pastebin.com Installation video by @ChrisMoody here : blog.tradingview.com ░░░░░░░░░░░░░░░ Feel free to follow me to keep up with my latest scripts! ░░░░░░░░░░░░░░░ ░░░░░░░░░░░░ PLEASE THUMB UP OR STAR IF YOU LIKE THIS INDICATOR! ░░░░░░░░░░░░ I'd like as many people as possible to get it :)