HHT Signal Analyzer (Refined)HHT Signal Analyzer
The HHT Signal Analyzer provides a real-time, smoothed approximation of the Hilbert-Huang Transform (HHT), designed to reveal adaptive cycles and phase changes in price action. It emulates Intrinsic Mode Functions (IMFs) using a double exponential moving average (EMA) filter to extract short-term oscillatory signals from price.
This indicator is helpful for identifying subtle shifts in market behavior, such as when a trend is transitioning or weakening, and is especially effective when paired with trend-based tools like GRJMOM.
How it works:
Applies a double EMA to the price (EMA of EMA)
Calculates the difference between the fast and slow EMA to emulate IMF behavior
Amplifies the signal for clear visual feedback
Highlights cycle slope changes with background coloring (green = rising, red = falling)
Use Cases:
Use slope direction to detect early phase shifts in the market
Combine with trend indicators to confirm or fade moves
Helps visualize when the market is entering a cycle crest or trough
Best for:
Traders looking to capture short-term reversals, cycle timing, or divergence with smooth and adaptive signals
Can be used on any timeframe
Cerca negli script per "Cycle"
Fast Fourier Transform [ScorsoneEnterprises]The SCE Fast Fourier Transform (FFT) is a tool designed to analyze periodicities and cyclical structures embedded in price. This is a Fourier analysis to transform price data from the time domain into the frequency domain, showing the rhythmic behaviors that are otherwise invisible on standard charts.
Instead of merely observing raw prices, this implementation applies the FFT on the logarithmic returns of the asset:
Log Return(𝑚) = log(close / close )
This ensures stationarity and stabilizes variance, making the analysis statistically robust and less influenced by trends or large price swings.
For a user-defined lookback window 𝑁:
Each frequency component 𝑘 is computed by summing real and imaginary projections of log-returns multiplied by complex exponential functions:
𝑒^−𝑖𝜃 = cos(𝜃)−𝑖sin(𝜃)
where:
θ = 2πkm / N
he result is the magnitude spectrum, calculated as:
Magnitude(𝑘) = sqrt(Real_Sum(𝑘)^2 + Imag_Sum(𝑘)^2)
This spectrum represents the strength of oscillations at each frequency over the lookback period, helping traders identify dominant cycles.
Visual Analysis & Interpretation
To give traders context for the FFT spectrum’s values, this script calculates:
25th Percentile (Purple Line)
Represents relatively low cyclical intensity.
Values below this threshold may signal quiet, noisy, or trendless periods.
75th Percentile (Red Line)
Represents heightened cyclical dominance.
Values above this threshold may indicate significant periodic activity and potential trend formation or rhythm in price action.
The FFT magnitude of the lowest frequency component (index 0) is plotted directly on the chart in teal. Observing how this signal fluctuates relative to its percentile bands provides a dynamic measure of cyclical market activity.
Chart examples
In this NYSE:CL chart, we see the regime of the price accurately described in the spectral analysis. We see the price above the 75th percentile continue to trend higher until it breaks back below.
In long trending markets like NYSE:PL has been, it can give a very good explanation of the strength. There was confidence to not switch regimes as we never crossed below the 75th percentile early in the move.
The script is also usable on the lower timeframes. There is no difference in the usability from the different timeframes.
Script Parameters
Lookback Value (N)
Default: 30
Defines how many bars of data to analyze. Larger N captures longer-term cycles but may smooth out shorter-term oscillations.
Altseason Index | AlchimistOfCrypto
🌈 Altseason Index | AlchimistOfCrypto – Revealing Bitcoin-Altcoin Dominance Cycles 🌈
"The Altseason Index, engineered through advanced mathematical methodology, visualizes the probabilistic distribution of capital flows between Bitcoin and altcoins within a multi-cycle paradigm. This indicator employs statistical normalization principles where ratio coefficients create mathematical boundaries that define dominance transitions between cryptographic asset classes. Our implementation features algorithmically enhanced rainbow visualization derived from extensive market cycle analysis, creating a dynamic representation of value flow with adaptive color gradients that highlight critical phase transitions in the cyclical evolution of the crypto market."
📊 Professional Trading Application
The Altseason Index transcends traditional sentiment models with a sophisticated multi-band illumination system that reveals the underlying structure of crypto sector rotation. Scientifically calibrated across different ratios (TOTAL2/BTC, OTHERS/BTC) and featuring seamless daily visualization, it enables investors to perceive capital transitions between Bitcoin and altcoins with unprecedented clarity.
- Visual Theming 🎨
Scientifically designed rainbow gradient optimized for market cycle recognition:
- Green-Blue: Altcoin accumulation zones with highest capital flow potential
- Neutral White: Market equilibrium zone representing balanced capital distribution
- Yellow-Red: Bitcoin dominance regions indicating defensive capital positioning
- Gradient Transitions: Mathematical inflection points for strategic reallocation
- Market Phase Detection 🔍
- Precise zone boundaries demarcating critical sentiment shifts in the crypto ecosystem
- Daily timeframe calculation ensuring consistent signal reliability
- Multiple ratio analysis revealing the probabilistic nature of market capital flows
🚀 How to Use
1. Identify Market Phase ⏰: Locate the current index relative to colored zones
2. Understand Capital Flow 🎚️: Monitor transitions between Bitcoin and altcoin dominance
3. Assess Mathematical Value 🌈: Determine optimal allocation based on zone location
4. Adjust Investment Strategy 🔎: Modulate position sizing based on dominance assessment
5. Prepare for Rotation ✅: Anticipate capital shifts when approaching extreme zones
6. Invest with Precision 🛡️: Accumulate altcoins in lower zones, reduce in upper zones
7. Manage Risk Dynamically 🔐: Scale portfolio allocations based on index positioning
Smart Trend Tracker Name: Smart Trend Tracker
Description:
The Smart Trend Tracker indicator is designed to analyze market cycles and identify key trend reversal points. It automatically marks support and resistance levels based on price dynamics, helping traders better navigate market structure.
Application:
Trend Analysis: The indicator helps determine when a trend may be nearing a reversal, which is useful for making entry or exit decisions.
Support and Resistance Levels: Automatically marks key levels, simplifying chart analysis.
Reversal Signals: Provides visual signals for potential reversal points, which can be used for counter-trend trading strategies.
How It Works:
Candlestick Sequence Analysis: The indicator tracks the number of consecutive candles in one direction (up or down). If the price continues to move N bars in a row in one direction, the system records this as an impulse phase.
Trend Exhaustion Detection: After a series of directional bars, the market may reach an overbought or oversold point. If the price continues to move in the same direction but with weakening momentum, the indicator records a possible trend slowdown.
Chart Display: The indicator marks potential reversal points with numbers or special markers. It can also display support and resistance levels based on key cycle points.
Settings:
Cycle Length: The number of bars after which the possibility of a reversal is assessed.
Trend Sensitivity: A parameter that adjusts sensitivity to trend movements.
Dynamic Levels: Setting for displaying key levels.
Название: Smart Trend Tracker
Описание:
Индикатор Smart Trend Tracker предназначен для анализа рыночных циклов и выявления ключевых точек разворота тренда. Он автоматически размечает уровни поддержки и сопротивления, основываясь на динамике цены, что помогает трейдерам лучше ориентироваться в структуре рынка.
Применение:
Анализ трендов: Индикатор помогает определить моменты, когда тренд может быть близок к развороту, что полезно для принятия решений о входе или выходе из позиции.
Определение уровней поддержки и сопротивления: Автоматически размечает ключевые уровни, что упрощает анализ графика.
Сигналы разворота: Индикатор предоставляет визуальные сигналы о возможных точках разворота, что может быть использовано для стратегий, основанных на контртрендовой торговле.
Как работает:
Анализ последовательности свечей: Индикатор отслеживает количество последовательных свечей в одном направлении (вверх или вниз). Если цена продолжает движение N баров подряд в одном направлении, система фиксирует это как импульсную фазу.
Выявление истощения тренда: После серии направленных баров рынок может достичь точки перегрева. Если цена продолжает двигаться в том же направлении, но с ослаблением импульса, индикатор фиксирует возможное замедление тренда.
Отображение на графике: Индикатор отмечает точки потенциального разворота номерами или специальными маркерами. Также возможен вывод уровней поддержки и сопротивления, основанных на ключевых точках цикла.
Настройки:
Длина цикла (Cycle Length): Количество баров, после которых оценивается возможность разворота.
Фильтрация тренда (Trend Sensitivity): Параметр, регулирующий чувствительность к трендовым движениям.
Уровни поддержки/сопротивления (Dynamic Levels): Настройка для отображения ключевых уровней.
Triad QT - BetaQT Profiler is the ultimate tool for Quarterly Theory traders. It's great both for trading and backtesting purposes.
The indicator includes the following features:
- accurate plotting of quarters for cycles from micro to quadrennial, consistent across different markets
- plotting previous quarter high and previous quarter low with possibility of projecting it into next quarters
- plotting DFR for each cycle in convenient, clear way
- plotting True Opens with possibility of looking up higher cycle quarters on lower timeframe charts (you can look up even TYO on micro cycle!) in consistent manner
- plotting SSMTs both for present, as well as historical charts in vey fast fashion - priceless for backtesting and trading purposes
- 3 SSMT detection ways : wick above previous quarter high, close above previous quarter's high, close above previous quarter's highest close (vice versa for lows)
- possibility of choosing the triad you're using from drop down list, as well as setting up your custom triad
- fast performance due to unique coding solutions
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Brought to you by Triad Trading Community
EmKa
Phase-Accumulation Adaptive EMA w/ Expanded Source Types [Loxx]Phase-Accumulation Adaptive EMA w/ Expanded Source Types is a Phase Accumulation Adaptive Exponential Moving Average with Loxx's Expanded Source Types. This indicator is meant to better capture trend movements using dominant cycle inputs. Alerts are included.
What is Phase Accumulation?
The phase accumulation method of computing the dominant cycle is perhaps the easiest to comprehend. In this technique, we measure the phase at each sample by taking the arctangent of the ratio of the quadrature component to the in-phase component. A delta phase is generated by taking the difference of the phase between successive samples. At each sample we can then look backwards, adding up the delta phases.When the sum of the delta phases reaches 360 degrees, we must have passed through one full cycle, on average.The process is repeated for each new sample.
The phase accumulation method of cycle measurement always uses one full cycle’s worth of historical data.This is both an advantage and a disadvantage.The advantage is the lag in obtaining the answer scales directly with the cycle period.That is, the measurement of a short cycle period has less lag than the measurement of a longer cycle period. However, the number of samples used in making the measurement means the averaging period is variable with cycle period. longer averaging reduces the noise level compared to the signal.Therefore, shorter cycle periods necessarily have a higher out- put signal-to-noise ratio.
Included:
-Toggle on/off bar coloring
-Alerts
Take Profit ScreenerI'm going to introduce you to the Take Profit Screener tool.
It allows you to manually scan your watchlist to determine at a glance the assets that have the best profitability potential.
It is a 2 in 1 tool that allows you to :
identify where your Take Profit ratios are located whether you are in SHAD or Cycle Strategy
identify the potential reward percentages when approaching the key Fibonacci levels
Before you start using it, you need to:
sort your watchlist according to the price (Last) in order to have price ranges more or less close to each other when jumping from a symbol to another
disable the Auto Scale and Magnet feature
select your first symbol
display the tool (the indicator more exactly)
The settings dialog box is organised in 3 sections:
Strategy : By setting this section, you will answer the question " Where do my Take Profit ratios stand in relation to my entry price, and according to Risk Management Strategy adopted (SHAD or Cycle)? "
Fibonacci : By setting this section, you will answer the question " What percentage gain can I expect as I approach one of the key Fibonacci levels? "
Layout : This is the settings for the look and feel
Strategy Section
Active : This part of the indicator won't display on your chart if unchecked
Type : Choose between SHAD or Cycle Strategy. When choosing SHAD, you can select 2, 4, 8 or 16 SHAD Levels. When choosing Cycle, you can enter whatever ratio value you wish in the Strategy Ratio (Cycle only) input.
SHAD xNN : When choosing SHAD Strategy, you should select at least one level and more if need be.
Strategy Ratio (Cycle only) : When choosing Strategy Type Cycle, you can enter whatever ratio value you wish there.
Freeze Entry Price & Value : Leave it unchecked whenever the current price of the asset is located within your desired area (i.e. Reload Zone) while attempting to estimate its potential reward. Conversely, keep it checked whenever the current price of the asset is outside your desired area, but you need to anticipate the potential reward of this asset if its price reaches a certain level, your Entry price. Enter this price there and check the box.
Show price : If checked, both Take Profit ratio and Price are displayed. If unchecked, then price is hidden.
Extend Line : If checked, then lines showing Take Profit levels extend to the left.
Label Offset : If checked, then the label that displays Take Profit ratio and price shift to the right by a value that ranges from 0 to 100 candles.
Label Style : You can choose between Right or Top. This will determine the orientation of the label.
Fibonacci Section
Active : This part of the indicator won't display on your chart if unchecked
Type : Choose between SHAD or Cycle Strategy. When choosing SHAD, you can select 2, 4, 8 or 16 SHAD Levels. When choosing Cycle, you can enter whatever ratio value you wish in the Strategy Ratio (Cycle only) input.
SHAD xNN : When choosing SHAD Strategy, you should select at least one level and more if need be.
Strategy Ratio (Cycle only) : When choosing Strategy Type Cycle, you can enter whatever ratio value you wish there.
Freeze Entry Price : Leave it unchecked whenever the current price of the asset is located within your desired area (i.e. Reload Zone) while attempting to estimate its potential reward. Conversely, keep it checked whenever the current price of the asset is outside your desired area, but you need to anticipate the potential reward of this asset if its price reaches a certain level, your Entry price. Enter this price there and check the box.
Color : You can define the color of Fibonacci line levels
Trend Condition [TradersPro]
OVERVIEW
The Trend Condition Indicator measures the strength of the bullish or bearish trend by using a ribbon pattern of exponential moving averages and scoring system. Trend cycles naturally expand and contract as a normal part of the cycle. It is the rhythm of the market. Perpetual expansion and contraction of trend.
As trend cycles develop the indicator shows a compression of the averages. These compression zones are key locations as trends typically expand from there. The expansion of trend can be up or down.
As the trend advances the ribbon effect of the indicator can be seen as each average expands with the price action. Once they have “fanned” the probability of the current trend slowing is high.
This can be used to recognize a powerful trend may be concluding. Traders can tighten stops, exit positions or utilize other prudent strategies.
CONCEPTS
Each line will display green if it is higher than the prior period and red if it is lower than the prior period. If the average is green it is considered bullish and will score one point in the bullish display. Red lines are considered bearish and will score one point in the bearish display.
The indicator can then be used at a quick glance to see the number of averages that are bullish and the number that are bearish.
A trader may use these on any tradable instrument. They can be helpful in stock portfolio management when used with an index like the S&P 500 to determine the strength of the current market trend. This may affect trade decisions like possession size, stop location and other risk factors.
even_better_sinewave_mod
Description:
Even better sinewave was an indicator developed by John F. Ehlers (see Cycle Analytics for Trader, pg. 159), in which improvement to cycle measurements completely relies on strong normalization of the waveform. The indicator aims to create an artificially predictive indicator by transferring the cyclic data swings into a sine wave. In this indicator, the modified is on the weighted moving average as a smoothing function, instead of using the super smoother, aim to be more adaptive, and the default length is set to 55 bars.
Sinewave
smoothing = (7*hp + 6*hp_1 + 5*hp_2+ 4*hp_3 + 3*hp_4 + 2*hp5 + hp_6) /28
normalize = wave/sqrt(power)
Notes:
sinewave indicator crossing over -0.9 is considered to beginning of the cycle while crossing under 0.9 is considered as an end of the cycle
line color turns to green considered as a confirmation of an uptrend, while turns red as a confirmation of a downtrend
confidence of using indicator will be much in confirmation paired with another indicator such dynamic trendline e.g. moving average
as cited within Ehlers book Cycle Analytic for Traders, the indicator will be useful if the satisfied market cycle mode and the period of the dominant cycle must be estimated with reasonable accuracy
Other Example
Transfer Function Filter [theUltimator5]The Transfer Function Filter is an engineering style approach to transform the price action on a chart into a frequency, then filter out unwanted signals using Butterworth-style filter approach.
This indicator allows you to analyze market structure by isolating or removing different frequency components of price movement—similar to how engineers filter signals in control systems and electrical circuits.
🔎 Features
Four Filter Types
1) Low Pass Filter – Smooths price data, highlighting long-term trends while filtering out short-term noise. This filter acts similar to an EMA, removing noisy signals, resulting in a smooth curve that follows the price of the stock relative to the filter cutoff settings.
Real world application for low pass filter - Used in power supplies to provide a clean, stable power level.
2) High Pass Filter – Removes slow-moving trends to emphasize short-term volatility and rapid fluctuations. The high pass filter removes the "DC" level of the chart, removing the average price moves and only outputting volatility.
Real world application for high pass filter - Used in audio equalizers to remove low-frequency noise (like rumble) while allowing higher frequencies to pass through, improving sound clarity.
3) Band Pass Filter – Allows signals to plot only within a band of bar ranges. This filter removes the low pass "DC" level and the high pass "high frequency noise spikes" and shows a signal that is effectively a smoothed volatility curve. This acts like a moving average for volatility.
Real world application for band pass filter - Radio stations only allow certain frequency bands so you can change your radio channel by switching which frequency band your filter is set to.
4) Band Stop Filter – Suppresses specific frequency bands (cycles between two cutoffs). This filter allows through the base price moving average, but keeps the high frequency volatility spikes. It allows you to filter out specific time interval price action.
Real world application for band stop filter - If there is prominent frequency signal in the area which can cause unnecessary noise in your system, a band stop filter can cancel out just that frequency so you get everything else
Configurable Parameters
• Cutoff Periods – Define the cycle lengths (in bars) to filter. This is a bit counter-intuitive with the numbering since the higher the bar count on the low-pass filter, the lower the frequency cutoff is. The opposite holds true for the high pass filter.
• Filter Order – Adjust steepness and responsiveness (higher order = sharper filtering, but with more delay).
• Overlay Option – Display Low Pass & Band Stop outputs directly on the price chart, or in a separate pane. This is enabled by default, plotting the filters that mimic moving averages directly onto the chart.
• Source Selection – Apply filters to close, open, high, low, or custom sources.
Histograms for Comparison
• BS–LP Histogram – Shows distance between Band Stop and Low Pass filters.
• BP–HP Histogram – Highlights differences between Band Pass and High Pass filters.
Histograms give the visualization of a pseudo-MACD style indicator
Visual & Informational Aids
• Customizable colors for each filter line.
• Optional zero-line for histogram reference.
• On-chart info table summarizing active filters, cutoff settings, histograms, and filter order.
📊 Use Cases
Trend Detection – Use the Low Pass filter to smooth noise and follow underlying market direction.
Volatility & Cycle Analysis – Apply High Pass or Band Pass to capture shorter-term patterns.
Noise Suppression – Deploy Band Stop to remove specific choppy frequencies.
Momentum Insight – Watch the histograms to spot divergences and relative filter strength.
BigNuts MacroScript that overlays key events that are coming up as the US economy shifts into fiscal dominance and global liquidity may peak. The specified dates were cross referenced from many cycle theories including Benner and Kondratieff key cycle dates as well work of Michel Howell for Global liquidity cycles and Luke Gromen analysis for Marco. The script also then cross references all these dates with any key celestial events that have had previous historical significance for market timing. The celestial events are key dates to watch but can be toggled on and off.
Fourier Oscillator Suite [SeerQuant]| Fourier Oscillator Suite |
WHY THE FOURIER TRANSFORM?
The Discrete Fourier Transform (DFT) extracts dominant cyclical patterns from market price data. Fourier analysis allows for the decomposition of price movements into frequency components, distinguishing trend-driven behaviour from noise and identifying oscillatory cycles within the market. This approach is effective in detecting dominant cycles in data, filtering out random fluctuations, and providing insights into price behaviour beyond conventional indicators.
This indicator applies a Fourier transform to the selected price source, converting it into a frequency-based signal. Instead of directly working with raw price data, the transformed signal acts as a smoothed and cycle-adjusted input for multiple technical indicators, enhancing their ability to adapt to market conditions dynamically.
Once the Fourier transform is applied, the extracted signal is processed through a suite of technical indicators, which are then normalized and aggregated into a single, actionable metric.
FEATURES AND BENEFITS
✅ Multi-Factor Aggregation:
By blending volatility, momentum, and volume-based oscillators, this indicator provides a comprehensive view of market conditions.
✅ Enhanced Signal Clarity:
Fourier transformation filters noise, revealing more reliable trading signals.
✅ Adaptive Market Sensitivity:
Unlike static oscillators, the Fourier-enhanced input dynamically adjusts to price shifts.
INDICATOR COMPONENTS
The Fourier Oscillator Suite aggregates the output of the transformed signal into three primary market components:
1. Volatility-Based Metrics
Commodity Channel Index (CCI) – Measures price deviation from a moving average.
Bollinger Band %B (BB%) – Evaluates price positioning within the Bollinger Bands.
Relative Volatility Index (RVI) – Identifies periods of heightened or subdued volatility.
2. Momentum Indicators
Relative Strength Index (RSI) – Gauges trend momentum and overbought/oversold levels.
Coppock Curve – A long-term momentum oscillator, often used for detecting major trend shifts.
Momentum (MOM), TRIX, and Stochastic Momentum Index (SMI) – Further refine momentum analysis.
3. Volume-Based Oscillators
Money Flow Index (MFI) – Measures price strength relative to volume.
Volume Zone Oscillator (VZO) – Detects accumulation and distribution phases.
Elder's Force Index (EFI) & Klinger Volume Oscillator (KVO) – Assess money flow strength.
These individual metrics are first normalized within a defined period and then smoothed using the selected moving average type. The final composite signal is derived from a weighted combination of the volatility, momentum, and volume components, each of which can be customized by the user.
SETTINGS
The indicator includes an extensive set of options for users to tailor its performance:
📌 Fourier Transform Parameters
Source Selection – Choose which price input (e.g., HLC3) is used for Fourier analysis.
Fourier Period – Defines the number of cycles analyzed for signal extraction.
📌 Aggregation Settings
Normalization Period – Controls how indicator values are scaled.
Smoothing Length – Adjusts the sensitivity of moving averages applied to oscillators.
Weight Adjustments – Fine-tune the impact of volatility, momentum, and volume-based inputs on the final signal.
📌 White Noise Control
White Noise Amplitude & Period – Filters out excessive market noise to improve signal clarity.
Enable/Disable White Noise Overlay – Provides optional visualization of filtered noise levels.
📌 Custom Styling & Visual Enhancements
Selectable Color Schemes – Choose from Default, Modern, Cool, or Monochrome.
Bull & Bear Color Customization – Define custom colors for positive/negative momentum shifts.
Adaptive Gradient Fills – Highlights market conditions dynamically based on oscillator movements.
The Fourier Oscillator Suite is designed for advanced traders seeking a noise-reduced, multi-dimensional view of market dynamics. By incorporating Fourier-transformed signals into a broad range of oscillators, this tool offers a highly adaptive, filter-enhanced, and customizable approach to momentum and trend analysis. Whether you are a trend follower, mean reversion trader, or volume analyst, this suite provides actionable insights with enhanced clarity.
Next Moon Phases 2025Next Moon Phases 2025
This custom indicator marks both past and future moon phases with vertical lines on your chart, providing a unique way to incorporate lunar cycles into your trading strategy.
This indicator is best used on the Daily timeframe. The lunar cycle is most effective when viewed in daily bars, providing the clearest correlation between moon phases and market trends.
Key Features:
Past Moon Phases (2016–2024): Marks the key lunar phases—New Moon, First Quarter, Full Moon, and Last Quarter—with vertical lines on the chart. Perfect for backtesting and analyzing the historical relationship between moon phases and market movements.
Future Moon Phases (2025): Unlike most indicators, this tool also projects upcoming moon phases for 2025, allowing you to plan ahead and anticipate potential market reactions based on future lunar events.
Adjustable Visibility: Customize which moon phases are displayed by toggling the visibility of each phase (New Moon, First Quarter, Full Moon, Last Quarter) with a simple control.
Why Moon Phases Matter in Trading:
Many traders believe that the lunar cycle can influence market sentiment and behavior. For example:
New Moon is often associated with new beginnings and potential market reversals.
Full Moon is thought to bring increased volatility and market climaxes.
First Quarter and Last Quarter may indicate periods of consolidation or momentum shifts.
By including both past and future moon phases, this indicator allows you to examine historical data while also planning for upcoming lunar events, giving you a strategic edge for both short-term and long-term trading decisions.
E9 PLRRThe E9 PLRR (Power Law Residual Ratio) is a custom-built indicator designed to evaluate the overvaluation or undervaluation of an asset, specifically by utilizing logarithmic price data and a power law-based model. It leverages a dynamic regression technique to assess the deviation of the current price from its expected value, giving insights into how much the price deviates from its long-term trend.
This indicator is primarily used to detect market extremes and cycles, often used in the analysis of long-term price movements in assets like Bitcoin, where cyclical behavior and significant price deviations are common.
This chart is back from 2019 and shows (From left to right) 2018 Bear market bottom at $3.5k (Dark Blue) , following a peak at 12k (dark red) before the Covid crash back down to EUROTLX:4K (Dark blue)
Key Components
Logarithmic Price Data:
The indicator works with logarithmic price data (ohlc4), which represents the average of open, high, low, and close prices. The logarithmic transformation is crucial in financial modeling, especially when analyzing long-term price data, as it normalizes exponential price growth patterns.
Dynamic Exponent 𝑘:
The model calculates a dynamic exponent k using regression, which defines the power law relationship between time and price. This exponent is essential in determining the expected power law price return and how far the current price deviates from that expected trend.
Power Law Price Return:
The power law price return is computed using the dynamic exponent
k over a defined period, such as 365 days (1 year). It represents the theoretical price return based on a power law relationship, which is used to compare against the actual logarithmic price data.
Risk-Free Rate:
The indicator incorporates an adjustable risk-free rate, allowing users to model the opportunity cost of holding an asset compared to risk-free alternatives. By default, the risk-free rate is set to 0%, but this can be modified depending on the user's requirements.
Volatility Adjustment:
A key feature of the PLRR is its ability to adjust for price volatility. The indicator smooths out short-term price fluctuations using a moving average, helping to detect longer-term cycles and trends.
PLRR Calculation:
The core of the indicator is the calculation of the Power Law Residual Ratio (PLRR). This is derived by subtracting the expected power law price return and risk-free rate from the logarithmic price return, then multiplying the result by a user-defined multiplier.
Color Gradient:
The PLRR values are represented visually using a color gradient. This gradient helps the user quickly identify whether the asset is in an undervalued, fair value, or overvalued state:
Dark Blue to Light Blue: Indicates undervaluation, with increasing blue tones representing a higher degree of undervaluation.
Green to Yellow: Represents fair value, where the price is aligned with the expected power law return.
Orange to Dark Red: Indicates overvaluation, with increasing red tones representing a higher degree of overvaluation.
Zero Line:
A zero line is plotted on the indicator chart, serving as a reference point. Values above the zero line suggest potential overvaluation, while values below indicate potential undervaluation.
Dots Visualization:
The PLRR is plotted using dots, with each dot color-coded based on the PLRR value. This dot-based visualization makes it easier to spot significant changes or reversals in market sentiment without overwhelming the user with continuous lines.
Bar Coloring:
The chart’s bars are colored in accordance with the PLRR value at each point in time, making it visually clear when an asset is potentially overvalued or undervalued.
Indicator Functionality
Cycle Identification : The E9 PLRR is especially useful for identifying cyclical market behavior. In assets like Bitcoin, which are known for their boom-bust cycles, the PLRR can help pinpoint when the market is likely entering a peak (overvaluation) or a trough (undervaluation).
Overvaluation and Undervaluation Detection: By comparing the current price to its expected power law return, the PLRR helps traders assess whether an asset is trading above or below its fair value. This is critical for long-term investors seeking to enter the market at undervalued levels and exit during periods of overvaluation.
Trend Following: The indicator helps users identify the broader trend by smoothing out short-term volatility. This makes it useful for both momentum traders looking to ride trends and contrarian traders seeking to capitalize on market extremes.
Customization
The E9 PLRR allows users to fine-tune several parameters based on their preferences or specific market conditions:
Lookback Period:
The user can adjust the lookback period (default: 100) to modify how the moving average and regression are calculated.
Risk-Free Rate:
Adjusting the risk-free rate allows for more realistic modeling of the opportunity cost of holding the asset.
Multiplier:
The multiplier (default: 5.688) amplifies the sensitivity of the PLRR, allowing users to adjust how aggressively the indicator responds to price movements.
This indicator was inspired by the works of Ashwin & PlanG and their work around powerLaw. Thank you. I hall be working on the calculation of this indicator moving forward to make improvements and optomisations.
Ehlers Stochastic Center Of Gravity [CC]The Stochastic Center Of Gravity Indicator was created by John Ehlers (Cybernetic Analysis For Stocks And Futures pgs 79-80), and this is one of the many cycle scripts that I have created but not published yet because, to be honest, I don't use cycle indicators in my everyday trading. Many of you probably do, so I will start publishing my big backlog of cycle-based indicators. These indicators work best with a trend confirmation or some other confirmation indicator to pair with it. The current cycle is the length of the trend, and since most stocks generally change their underlying trend quite often, especially during the day, it makes sense to adjust the length of this indicator to match the stock you are using it on. As you can see, the indicator gives constant buy and sell signals during a trend which is why I recommend using a confirmation indicator.
I have color-coded it to use lighter colors for normal signals and darker colors for strong signals. Buy when the line turns green and sell when it turns red.
Let me know if there are any other scripts you would like to see me publish!
BTC Power-Law Decay Channel Oscillator (0–100)🟠 BTC Power-Law Decay Channel Oscillator (0–100)
This indicator calculates Bitcoin’s position inside its long-term power-law decay channel and normalizes it into an easy-to-read 0–100 oscillator.
🔎 Concept
Bitcoin’s long-term price trajectory can be modeled by a log-log power-law channel.
A baseline is fitted, then an upper band (excess/euphoria) and a lower band (capitulation/fear).
The oscillator shows where the current price sits between those bands:
0 = near the lower band (historical bottoms)
100 = near the upper band (historical tops)
📊 How to Read
Oscillator > 80 → euphoric excess, often cycle tops
Oscillator < 20 → capitulation, often cycle bottoms
Works best on weekly or bi-weekly timeframes.
⚙️ Adjustable Parameters
Anchor date: starting point for the power-law fit (default: 2011).
Smoothing days: moving average applied to log-price (default: 365 days).
Upper / Lower multipliers: scale the bands to align with historical highs and lows.
✅ Best Use
Combine with other cycle signals (dominance ratios, macro indicators, sentiment).
Designed for long-term cycle analysis, not intraday trading.
Fractal Wave MarkerFractal Wave Marker is an indicator that processes relative extremes of fluctuating prices within 2 periodical aspects. The special labeling system detects and visually marks multi-scale turning points, letting you visualize fractal echoes within unfolding cycles dynamically.
What This Indicator Does
Identifies major and minor swing highs/lows based on adjustable period.
Uses Phi in power exponent to compute a higher-degree swing filter.
Labels of higher degree appear only after confirmed base swings — no phantom levels, no hindsight bias. What you see is what the market has validated.
Swing points unfold in a structured, alternating rhythm . No two consecutive pivots share the same hierarchical degree!
Inspired by the Fractal Market Hypothesis, this script visualizes the principle that market behavior repeats across time scales, revealing structured narrative of "random walk". This inherent sequencing ensures fractal consistency across timeframes. "Fractal echoes" demonstrate how smaller price swings can proportionally mirror larger ones in both structure and timing, allowing traders to anticipate movements by recursive patterns. Cycle Transitions highlight critical inflection points where minor pivots flip polarity such as a series of lower highs progress into higher highs—signaling the birth of a new macro trend. A dense dense clusters of swing points can indicate Liquidity Zones, acting as footprints of institutional accumulation or distribution where price action validates supply and demand imbalances.
Visualization of nested cycles within macro trend anchors - a main feature specifically designed for the chartists who prioritize working with complex wave oscillations their analysis.
111D SMA / (350D SMA * 2)Indicator: Pi Cycle Ratio
This custom technical indicator calculates a ratio between two moving averages that are used for the PI Cycle Top indicator. The PI Cycle Top indicator triggers when the 111-day simple moving average (111D SMA) crosses up with the 350-day simple moving average (350D SMA *2).
The line value is ratio is calculated as:
Line Value = 111DSMA / (350D SMA × 2)
When the 111D SMA crosses with the 350D SMA triggering the PI Cycle Top, the value of the ratio between the two lines is 1.
This visualizes the ratio between the two moving averages into a single line. This indicator can be used for technical analysis for historical and future moves.
The Investment Clock Orbital GraphThe Investment Clock Orbital Graph is an advanced visualization tool designed to help traders and investors track economic cycles using a dynamic scatter plot of GDP growth vs. CPI inflation rates.
This indicator is a fusion of two powerful TradingView indicators:
LuxAlgo ’s Relative Strength Scatter Plot – A robust scatter plot for tracking relative strength.
The Investment Clock Indicator – A cycle-based approach to market rotation. This indicator contains more information regarding The Investment Clock.
By combining these approaches, the Investment Clock Orbital Graph enables traders to visualize economic momentum and inflationary trends in a unique, orbital-style scatter plot.
Key Features & Improvements
Orbital Graph Representation – Displays GDP growth and CPI inflation as a dynamic, evolving scatter plot, showing how the economy moves through different phases.
Quadrant-Based Market Regimes – Identifies four key economic phases:
1)🔥 Overheating (High Growth, High Inflation)
2)📉 Stagflation (Low Growth, High Inflation)
3)🤒 Recovery (High Growth, Low Inflation)
4)🎈 Reflation (Low Growth, Low Inflation)
Data-Driven Analysis – Utilizes FRED (Federal Reserve Economic Data) for accurate real-world GDP & CPI data.
Trailing Path of Economic Evolution – Tracks historical economic cycles over time to show momentum and cyclical movements.
Customizable Parameters – Set sustainable GDP growth and inflation thresholds, adjust trail length, and fine-tune scatter plot resolution.
Auto-Labeled Quadrants & Revised Accurate Market Guidance – Each quadrant includes newly updated tooltips and annotations (like ETF suggestions) to help traders make informed decisions.
Live Macro Forecasting Tool – Helps traders anticipate future market conditions, rate hikes/cuts, and sector rotations.
How to Use for Trading Decisions
The Investment Clock Orbital Graph helps traders and macro investors by identifying market phases and providing insights into asset class performance during different economic conditions.
📌 Step 1: Identify the Current Quadrant
Locate the most recent point on the orbital graph to see if the economy is in Overheating, Stagflation, Recovery, or Reflation.
📌 Step 2: Forecast Market Trends
The trajectory of the points can predict upcoming economic shifts:
Overheating → Stagflation ➡️ Expect economic slowdowns, bearish stock markets.
Stagflation → Reflation ➡️ Interest rate cuts likely, bonds and defensive stocks perform well.
Reflation → Recovery ➡️ Risk-on rally, technology and cyclicals perform best.
Recovery → Overheating ➡️ Commodities surge, inflation rises, and central banks intervene.
📌 Step 3: Align Trading & Investing Strategies
🔥 Overheating – Favor commodities & energy (Oil, Industrial Stocks, Materials).
📉 Stagflation – Favor defensive assets (Cash, Utilities, Healthcare).
🤒 Recovery – Favor growth stocks (Technology, Consumer Discretionary).
🎈 Reflation – Favor bonds, value stocks, and financials.
📌 Step 4: Monitor Trends Over Time
The indicator visualizes economic movement over multiple months, allowing traders to confirm long-term trends vs. short-term noise.
The Investment Clock Orbital Graph is an essential macro trading tool, providing a real-time visualization of economic conditions. By tracking GDP growth vs. CPI inflation, traders and investors can align their portfolios with major macroeconomic shifts, predict sector rotations, and anticipate central bank policy changes.
Bitcoin Reversal PredictorOverview
This indicator displays two lines that, when they cross, signal a potential reversal in Bitcoin's price trend. Historically, the high or low of a bull market cycle often occurs near the moment these lines intersect. The lines consist of an Exponential Moving Average (EMA) and a logarithmic regression line fitted to all of Bitcoin's historical data.
Inspiration
The inspiration for this indicator came from the PI Cycle Top indicator, which has accurately predicted past bull market peaks. However, I believe the PI Cycle Top indicator may not be as effective in the future. In that indicator, two lines cross to mark the top, but the extent of the cross has been diminishing over time. This was especially noticeable in the 2021 cycle, where the lines barely crossed. Because of this, I created a new indicator that I think will continue to provide reliable reversal signals in the future.
How It Works
The logarithmic regression line is fitted to the Bitcoin (BTCUSD) chart using two key factors: the 'a' factor (slope) and the 'b' factor (intercept). This results in a steadily decreasing line. The EMA oscillates above and below this regression line. Each time the two lines cross, a vertical colored bar appears, indicating that Bitcoin's price momentum is likely to reverse.
Use Cases
- Price Bottoming:
Bitcoin often bottoms out when the EMA crosses below the logarithmic regression line.
- Price Topping:
In contrast, Bitcoin often peaks when the EMA crosses above the logarithmic regression line.
- Profitable Strategy:
Trading at the crossovers of these lines can be a profitable strategy, as these moments often signal significant price reversals.
Detrended Price Oscillator [NexusSignals]Detrended Price Oscillator (DPO) is a detrended price oscillator, used in technical analysis, strips out price trends in an effort to estimate the length of price cycles from peak to peak or trough to trough.
DPO is not a momentum indicator, instead highlights peaks and troughs in price, which are used to estimate buy and sell points in line with the historical cycle. (cf. to investopedia)
DPO indicator made by NexusSignals components :
a filled area that allow users to see easy the trend of an asset;
a sma moving average on chart (default length is 20)
a 20 sma on oscillator, both ma's are color coded to show uptrend / downtrend
a donchian channel applied to the dpo to show breakouts, breakdowns and resistances/support, reversals
few alerts for price crossing above ma, cross above the 0 dpo line, and for cross above and below the donchian channels top and bottom
How you can use DPO indicator ?
The detrended price oscillator (DPO) can be used for measuring the distance between peaks and troughs in the indicator that may help traders to make future decisions as they can locate the most recent trough and determine when the next one may occur in the meassured distance on oscillator between peaks and troughs.
You can use the indicator to find the potential price reversals, for example when the price of an asset is in a bearish trend and the dpo is bouncing from the donchian channel bottom, that may be a potential swing low for that asset, same thing in a bullish trend when the dpo rejecting at top of donchian channel may be a trend reversal, a pullback or swing high.
When DPO is above the 0 trend is in an uptrend and when dpo is below the zero the asset is possible to move into a downtrend.
Also crosses of DPO above and below the DPO moving average may signalising a trend change.
Fourier For Loop [BackQuant]Fourier For Loop
PLEASE Read the following, as understanding an indicator's functionality is essential before integrating it into a trading strategy. Knowing the core logic behind each tool allows for a sound and strategic approach to trading.
Introducing BackQuant's Fourier For Loop (FFL) — a cutting-edge trading indicator that combines Fourier transforms with a for-loop scoring mechanism. This innovative approach leverages mathematical precision to extract trends and reversals in the market, helping traders make informed decisions. Let's break down the components, rationale, and potential use-cases of this indicator.
Understanding Fourier Transform in Trading
The Fourier Transform decomposes price movements into their frequency components, allowing for a detailed analysis of cyclical behavior in the market. By transforming the price data from the time domain into the frequency domain, this indicator identifies underlying patterns that traditional methods may overlook.
In this script, Fourier transforms are applied to the specified calculation source (defaulted to HLC3). The transformation yields magnitude values that can be used to score market movements over a defined range. This scoring process helps uncover long and short signals based on relative strength and trend direction.
Why Use Fourier Transforms?
Fourier Transforms excel in identifying recurring cycles and smoothing noisy data, making them ideal for fast-paced markets where price movements may be erratic. They also provide a unique perspective on market volatility, offering traders additional insights beyond standard indicators.
Calculation Logic: For-Loop Scoring Mechanism
The For Loop Scoring mechanism compares the magnitude of each transformed point in the series, summing the results to generate a score. This score forms the backbone of the signal generation system.
Long Signals: Generated when the score surpasses the defined long threshold (default set at 40). This indicates a strong bullish trend, signaling potential upward momentum.
Short Signals: Triggered when the score crosses under the short threshold (default set at -10). This suggests a bearish trend or potential downside risk.'
Thresholds & Customization
The indicator offers customizable settings to fit various trading styles:
Calculation Periods: Control how many periods the Fourier transform covers.
Long/Short Thresholds: Adjust the sensitivity of the signals to match different timeframes or risk preferences.
Visualization Options: Traders can visualize the thresholds, change the color of bars based on trend direction, and even color the background for enhanced clarity.
Trading Applications
This Fourier For Loop indicator is designed to be versatile across various market conditions and timeframes. Some of its key use-cases include:
Cycle Detection: Fourier transforms help identify recurring patterns or cycles, giving traders a head-start on market direction.
Trend Following: The for-loop scoring system helps confirm the strength of trends, allowing traders to enter positions with greater confidence.
Risk Management: With clearly defined long and short signals, traders can manage their positions effectively, minimizing exposure to false signals.
Final Note
Incorporating this indicator into your trading strategy adds a layer of mathematical precision to traditional technical analysis. Be sure to adjust the calculation start/end points and thresholds to match your specific trading style, and remember that no indicator guarantees success. Always backtest thoroughly and integrate the Fourier For Loop into a balanced trading system.
Thus following all of the key points here are some sample backtests on the 1D Chart
Disclaimer: Backtests are based off past results, and are not indicative of the future .
INDEX:BTCUSD
INDEX:ETHUSD
BINANCE:SOLUSD
Grandoc's MTF SeparatorsOverviewThis indicator, known as Grandoc's MTF Separators, draws vertical lines to mark key period boundaries across multiple timeframes (MTF—standing for "Multi-Timeframe," which allows visualization of higher-timeframe structures like daily or weekly pivots directly on lower-timeframe charts, such as 15-minute views). It helps traders align intraday decisions with broader market cycles. Additionally, it includes optional session open/close lines and closing price ranges for major forex sessions (Sydney, Tokyo, Frankfurt, London, New York). By combining customizable timeframe separators with session-specific visuals, it provides a comprehensive tool for multi-timeframe analysis without cluttering the chart. The script is optimized for efficiency, using arrays to manage drawings and respect TradingView's limits.© grandoc
Created: October 12, 2025
Last Modified: October 12, 2025
Version: 1.4 (Improved: Added Frankfurt session with independent toggles for open/close lines and closing range)Key FeaturesMulti-Timeframe (MTF) Separators: Configurable lines for up to four timeframes (e.g., daily, weekly, monthly), plotted as vertical lines extending across the chart. Supports periods from seconds to years—ideal for spotting MTF confluences, like a weekly open aligning with a London session start.
Session Management: Independent toggles for open/close lines and 30-minute closing ranges for five major sessions. Opens use dotted lines by default; closes use solid lines. Frankfurt session added for European traders.
Customization: Select reference points (session start or midnight day start), timezones, colors, line styles, and lookback limits to control visibility and performance.
Efficiency: Arrays limit drawings to user-defined lookback periods, preventing overload on historical data.
Originality and UsefulnessThis script extends standard timeframe detection by integrating session visuals with granular controls, including the new Frankfurt session for better European market coverage. Unlike generic separators, it uses a modular drawSeparator() function for consistent rendering across MTF and sessions, reducing code redundancy. Closing ranges highlight volatility in the final 30 minutes of each session, serving as dynamic support/resistance—unique for session-based strategies.Ideal for forex traders on instruments like EURUSD futures, where aligning intraday trades with higher-timeframe pivots and session transitions reduces noise. For instance, on a 15-minute EURUSD futures chart, daily separators mark session-aligned opens, while London closing ranges flag potential reversal zones before New York handover. The MTF aspect shines here: A weekly separator (orange solid line) crossing a NY open (blue dotted) signals a high-probability setup.How It WorksMulti-Timeframe SeparatorsDetection: Uses ta.change(time(tf, sess, tzz)) to identify period starts, where tf is the timeframe string (e.g., "1D"), sess is "0000-0000" for day-midnight or empty for session-start, and tzz is the timezone.
Drawing: On change, drawSeparator() creates a vertical line via line.new(x1=x_time, x2=x_time, y1=open, y2=open + syminfo.mintick, extend=extend.both). The mintick offset ensures it's a line, not a point. Lines extend both ways for full visibility.
Management: Pushed to dedicated arrays (e.g., sepArray1); excess trimmed with array.shift() and line.delete() based on lookback.
Visibility: Only plots if higher timeframe (timeframe.in_seconds(tf) > timeframe.in_seconds()).
Session Open and Close LinesDetection: For each session (e.g., Sydney: "2200-0700:1234567"), inSession = not na(time(timeframe.period, sessionStr, sessionTz)). Opens trigger on inSession and not inSession ; closes on not inSession and inSession .
Drawing Opens: Calls drawSeparator(true, sessionColor, sessionOpenWidth, sessionOpenStyle, sessionLookback, sessLinesArray) at time (bar open time). Uses global dotted style/width by default for easy identification of new sessions.
Drawing Closes: Similar call, but at time_close (previous bar close) for precise end-time alignment. Uses global solid style/width. All shared in one sessLinesArray for unified trimming.
Navigation Benefit: Dotted opens act as "entry gates" for session momentum; solid closes as "exit signals." Colors differentiate sessions (e.g., green for Sydney), enabling quick scans—e.g., spot Tokyo open overlaps on EURUSD futures for Asian bias.
Closing RangesDetection: For each closing window (e.g., London: "1630-1700:1234567"), inClose = not na(time(timeframe.period, closeStr, sessionTz)).
Tracking: On entry (inClose and not inClose ), initializes high/low at current bar's values and stores bar_index. During session, updates with math.max/min(nz(var, high/low), high/low).
Drawing: On exit (not inClose and inClose ), creates box.new(left=startBar, right=bar_index-1, top=high, bottom=low, border_color=sessionColor, bgcolor=color.new(sessionColor, 80)). 80% transparency for subtle shading; border matches session color.
Management: Pushed to rangeBoxesArray; trimmed like lines. Only draws if toggle enabled (defaults off to avoid clutter).
Navigation Benefit: Ranges visually encapsulate end-of-session volatility—e.g., on EURUSD futures, a tight NY range signals low-risk continuation, while wide ones warn of gaps. Ideal for range-break trades or as next-session S/R.
All session elements use the dedicated sessionTz for consistency, independent of separator timezone.Installation and UsageAdd via TradingView's Public Library (search "Grandoc's MTF Separators").
Settings Navigation: Separators (#1-4): Toggle/enable timeframes (e.g., D1 default); lookback hidden for simplicity.
Style: Per-separator colors/widths/styles (hidden widths); global open/close styles for sessions.
Preferences: "Session" vs. "Day" reference (tooltips explain EURUSD example); timezone (hidden, Day-only).
Session Settings: Unified timezone for all sessions.
Open Lines (g4): Per-session toggles (all on default).
Close Lines (g7): Per-session toggles (all on default).
Closing Ranges (g5): Per-session toggles (all off default—enable for S/R focus).
Session Times (g8): Edit strings (e.g., adjust for DST on EURUSD futures).
Colors & Lookback (g6): Session colors; shared lookback limits.
Apply to EURUSD futures (e.g., 15-min chart) with defaults: See green daily dots, orange weekly solids, session opens/closes in theme colors.
Pro Tip: On futures, set "Session" reference and exchange TZ for accurate rollover alignment; enable ranges for close-of-day liquidity plays. For MTF depth, layer #3 (monthly) over intraday for long-term bias.
LimitationsLines/ranges may cluster on low-timeframe charts; increase lookback or disable lower separators.
Session times are UTC defaults; manual DST tweaks needed for futures like EURUSD.
Time-based; avoid non-standard charts (e.g., Renko).
No built-in alerts—use TradingView's on line/box conditions.
Example Chart Open-source for community reuse (credit © grandoc). Published October 12, 2025. Questions? Comment below!
