Curved Radius Supertrend [BOSWaves]Curved Radius Supertrend — Adaptive Parabolic Trend Framework with Dynamic Acceleration Geometry
Overview
The Curved Radius Supertrend introduces an evolution of the classic Supertrend indicator - engineered with a dynamic curvature engine that replaces rigid ATR bands with parabolic, radius-based motion. Traditional Supertrend systems rely on static band displacement, reacting linearly to volatility and often lagging behind emerging price acceleration. The Curved Radius Supertend model redefines this by integrating controlled acceleration and curvature geometry, allowing the trend bands to adapt fluidly to both velocity and duration of price movement.
The result is a smoother, more organic trend flow that visually captures the momentum curve of price action - not just its direction. Instead of sharp pivots or whipsaws, traders experience a structurally curved trajectory that mirrors real market inertia. This makes it particularly effective for identifying sustained directional phases, detecting early trend rotations, and filtering out noise that plagues standard Supertrend methodologies.
Unlike conventional band-following systems, the Curved Radius framework is time-reactive and velocity-aware, providing a nuanced signal structure that blends geometric precision with volatility sensitivity.
Theoretical Foundation
The Curved Radius Supertrend draws from the intersection of mathematical curvature dynamics and adaptive volatility processing. Standard Supertrend algorithms extend from Average True Range (ATR) envelopes - a linear measure of volatility that moves proportionally with price deviation. However, markets do not expand or contract linearly. Trend velocity typically accelerates and decelerates in nonlinear arcs, forming natural parabolas across price phases.
By embedding a radius-based acceleration function, the indicator models this natural behavior. The core variable, radiusStrength, controls how aggressively curvature accelerates over time. Instead of simply following price distance, the band now evolves according to temporal acceleration - each bar contributes incremental velocity, bending the trend line into a radius-like curve.
This structural design allows the indicator to anticipate rather than just respond to price action, capturing momentum transitions as curved accelerations rather than binary flips. In practice, this eliminates the stutter effect typical of standard Supertrends and replaces it with fluid directional motion that better reflects actual trend geometry.
How It Works
The Curved Radius Supertrend is constructed through a multi-stage process designed to balance price responsiveness with geometric stability:
1. Baseline Supertrend Core
The framework begins with a standard ATR-derived upper and lower band calculation. These define the volatility envelope that constrains potential price zones. Directional bias is determined through crossover logic - prices above the lower band confirm an uptrend, while prices below the upper band confirm a downtrend.
2. Curvature Acceleration Engine
Once a trend direction is established, a curvature engine is activated. This system uses radiusStrength as a coefficient to simulate acceleration per bar, incrementally increasing velocity over time. The result is a parabolic displacement from the anchor price (the price level at trend change), creating a curved motion path that dynamically widens or tightens as the trend matures.
Mathematically, this acceleration behaves quadratically - each new bar compounds the previous velocity, forming an exponential rate of displacement that resembles curved inertia.
3. Adaptive Smoothing Layer
After the radius curve is applied, a smoothing stage (defined by the smoothness parameter) uses a simple moving average to regulate curve noise. This ensures visual coherence without sacrificing responsiveness, producing flowing arcs rather than jagged band steps.
4. Directional Visualization and Outer Envelope
Directional state (bullish or bearish) dictates both the color gradient and band displacement. An outer envelope is plotted one ATR beyond the curved band, creating a layered trend visualization that shows the extent of volatility expansion.
5. Signal Events and Alerts
Each directional transition triggers a 'BUY' or 'SELL' signal, clearly labeling phase shifts in market structure. Alerts are built in for automation and backtesting.
Interpretation
The Curved Radius Supertrend reframes how traders visualize and confirm trends. Instead of simply plotting a trailing stop, it maps the dynamic curvature of trend development.
Uptrend Phases : The band curves upward with increasing acceleration, reflecting the market’s growing directional velocity. As curvature steepens, conviction strengthens.
Downtrend Phases : The band bends downward in a mirrored acceleration pattern, indicating sustained bearish momentum.
Trend Change Points : When the direction flips and a new anchor point forms, the curve resets - providing a clean, early visual confirmation of structural reversal.
Smoothing and Radius Interplay : A lower radius strength produces a tighter, more reactive curve ideal for scalping or short timeframes. Higher values generate broad, sweeping arcs optimized for swing or positional analysis.
Visually, this curvature system translates market inertia into shape - revealing how trends bend, accelerate, and ultimately exhaust.
Strategy Integration
The Curved Radius Supertrend is versatile enough to integrate seamlessly into multiple trading frameworks:
Trend Following : Use BUY/SELL flips to identify emerging directional bias. Strong curvature continuation confirms sustained momentum.
Momentum Entry Filtering : Combine with oscillators or volume tools to filter entries only when the curve slope accelerates (high momentum conditions).
Pullback and Re-entry Timing : The smooth curvature of the radius band allows traders to identify shallow retracements without premature exits. The band acts as a dynamic, self-adjusting support/resistance arc.
Volatility Compression and Expansion : Flattening curvature indicates volatility compression - a potential pre-breakout zone. Rapid re-steepening signals expansion and directional conviction.
Stop Placement Framework : The curved band can serve as a volatility-adjusted trailing stop. Because the curve reflects acceleration, it adapts naturally to market rhythm - widening during momentum surges and tightening during stagnation.
Technical Implementation Details
Curved Radius Engine : Parabolic acceleration algorithm that applies quadratic velocity based on bar count and radiusStrength.
Anchor Logic : Resets curvature at each trend change, establishing a new reference base for directional acceleration.
Smoothing Layer : SMA-based curve smoothing for noise reduction.
Outer Envelope : ATR-derived band offset visualizing volatility extension.
Directional Coloring : Candle and band coloration tied to current trend state.
Signal Engine : Built-in BUY/SELL markers and alert conditions for automation or script integration.
Optimal Application Parameters
Timeframe Guidance :
1-5 min (Scalping) : 0.08–0.12 radius strength, minimal smoothing for rapid responsiveness.
15 min : 0.12–0.15 radius strength for intraday trends.
1H : 0.15–0.18 radius strength for structured short-term swing setups.
4H : 0.18–0.22 radius strength for macro-trend shaping.
Daily : 0.20–0.25 radius strength for broad directional curves.
Weekly : 0.25–0.30 radius strength for smooth macro-level cycles.
The suggested radius strength ranges provide general structural guidance. Optimal values may vary across assets and volatility regimes, and should be refined through empirical testing to account for instrument-specific behavior and prevailing market conditions.
Asset Guidance :
Cryptocurrency : Higher radius and multiplier values to stabilize high-volatility environments.
Forex : Midrange settings (0.12-0.18) for clean curvature transitions.
Equities : Balanced curvature for trending sectors or momentum rotation setups.
Indices/Futures : Moderate radius values (0.15-0.22) to capture cyclical macro swings.
Performance Characteristics
High Effectiveness :
Trending environments with directional expansion.
Markets exhibiting clean momentum arcs and low structural noise.
Reduced Effectiveness :
Range-bound or low-volatility conditions with repeated false flips.
Ultra-short-term timeframes (<1m) where curvature acceleration overshoots.
Integration Guidelines
Confluence Framework : Combine with structure tools (order blocks, BOS, liquidity zones) for entry validation.
Risk Management : Trail stops along the curved band rather than fixed points to align with adaptive market geometry.
Multi-Timeframe Confirmation : Use higher timeframe curvature as a trend filter and lower timeframe curvature for execution timing.
Curve Compression Awareness : Treat flattening arcs as potential exhaustion zones - ideal for scaling out or reducing exposure.
Disclaimer
The Curved Radius Supertrend is a geometric trend model designed for professional traders and analysts. It is not a predictive system or a guaranteed profit method. Its performance depends on correct parameter calibration and sound risk management. BOSWaves recommends using it as part of a comprehensive analytical framework, incorporating volume, liquidity, and structural context to validate directional signals.
Indicadores y estrategias
ZS Master Vision Pro - Advanced Multi-Timeframe Trading SystemZS MASTER VISION PRO - PROFESSIONAL TRADING SUITE
Created by Zakaria Safri
A comprehensive, all-in-one trading system combining multiple proven technical analysis methods into a single, powerful indicator. Designed for traders who demand precision, clarity, and actionable signals across all timeframes.
KEY FEATURES
CORE TREND ALGORITHM
Adaptive ATR-based trend detection with dynamic support and resistance zones. Features Type A and Type B signal modes for different trading styles, strong signal detection in key reversal zones, and optional EMA source smoothing for noise reduction.
MULTI-LAYER EMA CLOUD SYSTEM
Five customizable EMA cloud layers for multi-timeframe analysis with theme-adaptive color coding across five professional themes. Optional line display for detailed MA tracking with configurable periods from scalping to position trading.
WAVE TREND OSCILLATOR
Advanced momentum oscillator with channel-based calculations featuring smart reversal detection at extreme overbought and oversold levels. Includes directional strength confirmation and customizable sensitivity with adjustable reaction periods.
DIVERGENCE SCANNER
Detects four types of divergence automatically:
- Regular Bullish: Price making lower lows while oscillator making higher lows
- Regular Bearish: Price making higher highs while oscillator making lower highs
- Hidden Bullish: Trend continuation signals in uptrends
- Hidden Bearish: Trend continuation signals in downtrends
Automatic fractal-based detection with clear visual labels on chart.
MARKET BIAS INDICATOR
Heikin Ashi-based trend strength analysis with real-time bias calculation showing Bullish or Bearish combined with Strong or Weak conditions. Smoothed for cleaner signals and perfect for trend confirmation.
MOMENTUM SYSTEM
Proprietary momentum calculation using adaptive smoothing with growing and falling state detection. Normalized values for consistent interpretation and responsive to rapid market changes.
DYNAMIC SUPPORT AND RESISTANCE
Automatic pivot-based support and resistance level detection with adjustable left and right bar lookback. Non-repainting levels with visual clarity through color-coded lines.
LIVE INFORMATION DASHBOARD
Real-time market analysis panel displaying current trend direction, market bias based on Heikin Ashi, Wave Trend status and value, and momentum trend with state. Customizable display options with theme-adaptive colors.
VISUAL CUSTOMIZATION
FIVE PROFESSIONAL COLOR THEMES:
Pro - Modern green and red color scheme (default)
Classic - Traditional teal and red combination
Cyberpunk - Neon cyan and magenta contrast
Ocean - Blue and orange contrast
Sunset - Gold and red warmth
SIGNAL STYLES:
Labels with emoji indicators (BUY with rocket, SELL with bear, STRONG with lightning)
Arrows for clean minimal appearance
Triangles for classic approach
DISPLAY OPTIONS:
Color-coded candles following trend direction
Trend background highlighting for instant trend recognition
Optional EMA line display for detailed analysis
Adjustable transparency levels for personal preference
SMART ALERTS
Pre-configured alert conditions for all major signals:
Buy signals for standard entry opportunities
Sell signals for standard exit or short opportunities
Strong buy signals for high-confidence long entries
Strong sell signals for high-confidence short entries
Bullish divergence detection alerts
Bearish divergence detection alerts
Alert messages automatically include ticker symbol, current price, and specific signal type for quick decision making.
HOW TO USE
FOR TREND TRADERS:
Enable EMA Clouds with focus on Cloud 5 featuring 50 and 200 period moving averages. Wait for trend background color change to confirm direction. Enter on STRONG signals aligned with higher timeframe trend direction. Use support and resistance levels for strategic exits.
FOR SWING TRADERS:
Enable Wave Trend Oscillator information display. Look for oversold and overbought reversal setups. Confirm potential reversals with divergence scanner. Enter on smart reversal signals with proper risk management.
FOR SCALPERS:
Use Type B signal mode for more frequent trading signals. Enable Cloud 1 with 5 and 13 periods for quick trend confirmation. Focus on momentum growing and falling states for entry timing. Take quick entries on regular buy and sell signals.
FOR POSITION TRADERS:
Use Type A mode with higher ATR multiplier set to 3.0 or above. Enable only Cloud 5 with 50 and 200 periods for major trend confirmation. Only take STRONG signals for highest probability setups. Hold positions through minor pullbacks and noise.
RECOMMENDED SETTINGS
STOCKS ON DAILY TIMEFRAME:
Trend Period: 180
ATR Period: 155
ATR Multiplier: 2.1
Signal Mode: Type A
FOREX ON HOURLY AND 4-HOUR TIMEFRAMES:
Trend Period: 150
ATR Period: 120
ATR Multiplier: 2.5
Signal Mode: Type A
CRYPTOCURRENCY ON 15-MINUTE AND 1-HOUR TIMEFRAMES:
Trend Period: 100
ATR Period: 80
ATR Multiplier: 3.0
Signal Mode: Type B
SCALPING ON 1-MINUTE AND 5-MINUTE TIMEFRAMES:
Trend Period: 50
ATR Period: 40
ATR Multiplier: 2.0
Signal Mode: Type B
WHAT IS INCLUDED
Trend Analysis using ATR-based adaptive algorithm
Five EMA Cloud Layers for multi-timeframe confluence
Wave Trend Oscillator for momentum and reversal detection
Divergence Scanner detecting four types of divergence
Market Bias using Heikin Ashi-based trend strength
Momentum System with advanced momentum tracking
Support and Resistance Levels with automatic pivot detection
Live Dashboard showing real-time market analysis
Smart Alerts featuring six pre-configured alert types
Five Color Themes offering professional visual options
TECHNICAL DETAILS
CALCULATION METHODS:
Average True Range (ATR) for volatility adaptation
Exponential Moving Average (EMA) and Simple Moving Average (SMA) for trend smoothing
Wave Trend channel oscillator for momentum analysis
Fractal-based divergence detection algorithm
Heikin Ashi transformation for bias calculation
Logarithmic momentum calculation for precision
PERFORMANCE CHARACTERISTICS:
Optimized for maximum speed and efficiency
No repainting signals ensuring reliability
Works on all timeframes from 1 minute to monthly
Compatible with all instruments including stocks, forex, crypto, and futures
RISK DISCLAIMER
This indicator is a technical analysis tool and should not be used as the sole basis for trading decisions. Always use proper risk management and never risk more than you can afford to lose. Combine with other analysis methods and practice on demo accounts first. Past performance does not guarantee future results. Trading carries substantial risk and is not suitable for all investors.
SUPPORT AND UPDATES
Regular updates and continuous improvements
Based on proven technical analysis principles
Developed following Pine Coders best practices and standards
Clean, well-documented, and optimized code structure
WHY CHOOSE ZS MASTER VISION PRO
All-in-one solution eliminating the need for multiple indicators
Highly customizable to adapt to your specific trading style
Professional grade analysis with institutional-quality standards
Clean interface that is not cluttered or confusing
Works everywhere across all markets and all timeframes
Smart signals filtered for quality over quantity
Beautiful design featuring five professional color themes
Active development with regular improvements and updates
Transform your trading with ZS Master Vision Pro today.
Version 2.0 | Created by Zakaria Safri | Pine Script Version 5
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SuperTrend MAAfter building SuperBands, I kept thinking about what happens at the midpoint between those two volatility-adaptive envelopes. The upper and lower bands are both trailing price based on ATR and EMA smoothing, but they're operating independently in opposite directions. Taking their average seemed like it might produce an interesting centerline that adapts to volatility in a way that regular moving averages don't. Turns out it does, and that's what this indicator is.
The core concept is straightforward. Instead of plotting the upper and lower SuperBands separately, this calculates both of them internally, averages their values, and then applies an additional smoothing pass with EMA to create a single centerline. That centerline sits roughly in the middle of where the bands would be, but because it's derived from ATR-offset trailing stops rather than direct price smoothing, it behaves differently than a standard moving average of the same length. During trending periods, the centerline tracks closer to price because one of the underlying bands is actively trailing while the other is dormant. During consolidation, both bands compress toward price and the centerline tends to oscillate more with shorter-term movements.
What's interesting is that this acts like a supertrend all by itself with directional behavior baked in. When one of the underlying supertrend waves dominates, meaning price is strongly trending in one direction and only one band is active, you get what feels like a "true" supertrend, whatever that means exactly. The centerline locks into trend-following mode and the color gradient reflects that commitment. You get bright bullish colors during sustained uptrends when the upper band is doing all the work, and strong bearish colors during downtrends when the lower band dominates. But when both bands are active and fighting for control, which happens during consolidation or choppy conditions, the centerline settles into more neutral tones that clearly signal you're in a ranging environment. The colors really do emphasize this behavior and make it visually obvious which regime you're in.
The smoothing parameter controls how aggressively the underlying SuperBand trails adapt to price, which indirectly affects how responsive the centerline is. Lower values make the bands tighter and more reactive, so the centerline follows price action more closely. Higher values create wider bands that only respond to sustained moves, which produces a smoother centerline that filters out more noise. The center smoothing parameter applies a second EMA pass specifically to the averaged midpoint, giving you independent control over how much additional lag you want on the final output versus the raw band average.
What makes this different from just slapping an EMA on price is that the underlying bands are already volatility-aware through their ATR calculations. When volatility spikes, the bands widen and the centerline adjusts its position relative to price based on where those bands settle. A traditional moving average would just smooth over the volatility spike without adjusting its distance from price. This approach incorporates volatility information into the centerline's positioning, which can help it stay relevant during regime changes where fixed-period moving averages tend to lag badly or whipsaw.
The color gradient adds a momentum overlay using the same angle-based calculation from SuperBands. The centerline's rate of change gets normalized by an RMS estimate of its historical movement range, converted to an angle through arctangent scaling, and then mapped to a color gradient. When the centerline is rising, it gradients from neutral toward your chosen bullish color, with brightness increasing as the rate of ascent steepens. When falling, it shifts toward the bearish color with intensity tied to the descent rate. This gives you an immediate visual sense of whether the centerline is accelerating, decelerating, or moving at a stable pace.
Configuration is simpler than SuperBands since you're only dealing with a single output line instead of separate bull and bear envelopes. The length parameter controls the underlying band behavior. ATR period and multiplier determine how much space the bands allocate around price before they trail. Center smoothing adds the extra EMA pass on the averaged midpoint. You can tune these independently to get different characteristics. A tight ATR multiplier with heavy center smoothing creates a smooth line that stays close to price. A wide multiplier with light center smoothing produces a line that swings more freely and adapts faster to directional changes.
From a practical standpoint, this works well as a trend filter or dynamic support and resistance reference. Price above the centerline with bullish coloring suggests a favorable environment for long positions. Price below with bearish coloring indicates the opposite. Crossovers can signal trend changes, though like any moving average system, you'll get whipsaws in choppy conditions. The advantage over traditional MAs is that the volatility adaptation tends to reduce false signals during transitional periods where volatility is expanding but direction hasn't fully committed.
The implementation reuses the entire SuperBands logic, which means all the smoothing and state management for the trailing stops is identical. The only addition is averaging the two band outputs and applying the final EMA pass. The color calculation follows the same RMS-normalized angle approach but applies it to the centerline's delta rather than the individual band deltas. This keeps the coloring consistent with how SuperBands handles momentum visualization while adapting it to a single line instead of dual envelopes.
What this really highlights is that you can derive moving averages from mechanisms other than direct price smoothing. By building the centerline from volatility-adjusted trailing stops, you get adaptive behavior that responds to both price movement and volatility regime without needing separate inputs or complex multi-stage calculations. Whether that adaptation provides a meaningful edge depends on your strategy and market, but it's a fundamentally different approach than the typical fixed-period or adaptive MAs that adjust length based on volatility or momentum indicators.
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ADX MA Filter for Choppy MarketsA clear way to see expanding markets and identify contracting markets or chop
Trí Nguyễn TrendM30 → M15 Reversal (Engulfing/Doji/Hammer)Trend follow M30
Entry M15 (Engulfing/Doji/Hammer)
SuperBandsI've been seeing a lot of volatility band indicators pop up recently, and after watching this trend for a while, I figured it was time to throw my two chips in. The original spark for this idea came years ago from RicardoSantos's Vector Flow Channel script, which used decay channels with timed events in an interesting way. That concept stuck with me, and I kept thinking about how to build something that captured the same kind of dynamic envelope behavior but with a different mathematical foundation. What I ended up with is a hybrid that takes the core logic of supertrend trailing stops, smooths them heavily with exponential moving averages, and wraps them in Donchian-style filled bands with momentum-based color gradients.
The basic mechanism here is pretty straightforward. Standard supertrend calculates a trailing stop based on ATR offset from price, then flips direction when price crosses the trail. This implementation does the same thing but adds EMA smoothing to the trail calculation itself, which removes a lot of the choppiness you get from raw supertrend during sideways periods. The smoothing period is adjustable, so you can tune how reactive versus stable you want the bands to be. Lower smoothing values make the bands track price more aggressively, higher values create wider, slower-moving envelopes that only respond to sustained directional moves.
Where this diverges from typical supertrend implementations is in the visual presentation and the separate treatment of bullish and bearish conditions. Instead of a single flipping line, you get persistent upper and lower bands that each track their own trailing stops independently. The bullish band trails below price and stays active as long as price doesn't break below it. The bearish band trails above price and remains active until price breaks above. Both bands can be visible simultaneously, which gives you a dynamic channel that adapts to volatility on both sides of price action. When price is trending strongly, one band will dominate and the other will disappear. During consolidation, both bands tend to compress toward price.
The color gradients are calculated by measuring the rate of change in each band's position and converting that delta into an angle using arctangent scaling. Steeper angles, which correspond to the band moving quickly to catch up with accelerating price, get brighter colors. Flatter angles, where the band is moving slowly or staying relatively stable, fade toward more muted tones. This gives you a visual sense of momentum within the bands themselves, not just from price movement. A rapidly brightening band often precedes expansion or breakout conditions, while fading colors suggest the trend is losing steam or entering consolidation.
The filled regions between price and each band serve a similar function to Donchian channels or Keltner bands, creating clearly defined zones that represent normal price behavior relative to recent volatility. When price hugs one band and the fill area compresses, you're in a strong directional regime. When price bounces between both bands and the fills expand, you're in a ranging environment. The transparency gradients in the fills make it easier to see when price is near the edge of the envelope versus safely inside it.
Configuration is split between bullish and bearish settings, which lets you asymmetrically tune the indicator if you find that your market or timeframe has different characteristics in uptrends versus downtrends. You can adjust ATR period, ATR multiplier, and smoothing independently for each direction. This flexibility is useful for instruments that exhibit different volatility profiles during bull and bear phases, or for strategies that want tighter trailing on longs than shorts, or vice versa.
The ATR period controls the lookback window for volatility measurement. Shorter periods make the bands react quickly to recent volatility spikes, which can be beneficial in fast-moving markets but also leads to more frequent whipsaws. Longer periods smooth out volatility estimates and create more stable bands at the cost of slower adaptation. The multiplier scales the ATR offset, directly controlling how far the bands sit from price. Smaller multipliers keep the bands tight, triggering more frequent direction changes. Larger multipliers create wider envelopes that give price more room to move without breaking the trail.
One thing to note is that this indicator doesn't generate explicit buy or sell signals in the traditional sense. It's a regime filter and envelope tool. You can use band breaks as directional cues if you want, but the primary value comes from understanding the current volatility environment and whether price is respecting or violating its recent behavioral boundaries. Pairing this with momentum oscillators or volume analysis tends to work better than treating band breaks as standalone entries.
From an implementation perspective, the supertrend state machine tracks whether each direction's trail is active, handles resets when price breaks through, and manages the EMA smoothing on the trail points themselves rather than just post-processing the supertrend output. This means the smoothing is baked into the trailing logic, which creates a different response curve than if you just applied an EMA to a standard supertrend line. The angle calculations use RMS estimation for the delta normalization range, which adapts to changing volatility and keeps the color gradients responsive across different market conditions.
What this really demonstrates is that there are endless ways to combine basic technical concepts into something that feels fresh without reinventing mathematics. ATR offsets, trailing stops, EMA smoothing, and Donchian fills are all standard building blocks, but arranging them in a particular way produces behavior that's distinct from each component alone. Whether this particular arrangement works better than other volatility band systems depends entirely on your market, timeframe, and what you're trying to accomplish. For me, it scratched the itch I had from seeing Vector Flow years ago and wanting to build something in that same conceptual space using tools I'm more comfortable with.
N Order EMAThe exponential moving average is one of the most fundamental tools in technical analysis, but its implementation is almost always locked to a single mathematical approach. I've always wanted to extend the EMA into an n-order filter, and after some time working through the digital signal processing mathematics, I finally managed to do it. This indicator takes the familiar EMA concept and opens it up to four different discretization methods, each representing a valid way to transform a continuous-time exponential smoother into a discrete-time recursive filter. On top of that, it includes adjustable filter order, which fundamentally changes the frequency response characteristics in ways that simply changing the period length cannot achieve.
The four discretization styles are impulse-matched, all-pole, matched z-transform, and bilinear (Tustin). The all-pole version is exactly like stacking multiple EMAs together but implemented in a single function with proper coefficient calculation. It uses a canonical form where you get one gain coefficient and the rest are zeros, with the feedback coefficients derived from the binomial expansion of the pole polynomial. The other three methods are attempts at making generalizations of the EMA in different ways. Impulse-matched creates the filter by matching the discrete-time impulse response to what the continuous EMA would produce. Matched z-transform directly maps the continuous poles to the z-domain using the exponential relationship. Bilinear uses the Tustin transformation with frequency prewarping to ensure the cutoff frequency is preserved despite the inherent warping of the mapping.
Honestly, they're all mostly the same in practice, which is exactly what you'd expect since they're all valid discretizations of the same underlying filter. The differences show up in subtle ways during volatile market conditions or in the exact phase characteristics, but for most trading applications the outputs will track each other closely. That said, the bilinear version works particularly well at low periods like 2, where other methods can sometimes produce numerical artifacts. I personally like the z-match for its clean frequency-domain properties, but the real point here is demonstrating that you can tackle the same problem from multiple mathematical angles and end up with slightly different but equally valid implementations.
The order parameter is where things get interesting. A first-order EMA is the standard single-pole recursive filter everyone knows. When you move to second-order, you're essentially cascading two filter sections, which steepens the roll-off in the frequency domain and changes how the filter responds to sudden price movements. Higher orders continue this progression. The all-pole style makes this particularly clear since it's literally stacking EMA operations, but all four discretization methods support arbitrary order. This gives you control over the aggressiveness of the smoothing that goes beyond just adjusting the period length.
On top of the core EMA calculation, I've included all the standard variants that people use for reducing lag. DEMA applies the EMA twice and combines the results to get faster response. TEMA takes it further with three applications. HEMA uses a Hull-style calculation with fractional periods, applying the EMA to the difference between a half-period EMA and a full-period EMA, then smoothing that result with the square root of the period. These are all implemented using whichever discretization method you select, so you're not mixing different mathematical approaches. Everything stays consistent within the chosen framework.
The practical upside of this indicator is flexibility for people building trading systems. If you need a moving average with specific frequency response characteristics, you can tune the order parameter instead of hunting for the right period length. If you want to test whether different discretization methods affect your strategy's performance, you can swap between them without changing any other code. For most users, the impulse-matched style at order 1 will behave almost identically to a standard EMA, which gives you a familiar baseline to work from. From there you can experiment with higher orders or different styles to see if they provide any edge in your particular market or timeframe.
What this really highlights is that even something as seemingly simple as an exponential moving average involves mathematical choices that usually stay hidden. The standard EMA formula you see in textbooks is already a discretized version of a continuous exponential decay, and there are multiple valid ways to perform that discretization. By exposing these options, this indicator lets you explore a parameter space that most traders never even know exists. Whether that exploration leads to better trading results is an empirical question that depends on your strategy and market, but at minimum it's a useful reminder that the tools we take for granted are built on arbitrary but reasonable mathematical decisions.
Bitgak [Osprey]🟠 INTRODUCTION
Bitgak , translated as "Oblique Angle" in Korean, is a strategy used by multi-hundred-million traders in Korea, sometimes more heavily than Fibonacci retracement.
It is a concept that by connecting two or more pivot points on the chart and creating equidistant parallel lines, we can spot other pivot points. As seen in the example, a line at a different height but with the same angle spots many pivot points.
This indicator spots pivot points on the chart and tests all different possible Bitgak lines with a brute-force method. Then it shows the parallel line configuration with the most pivots hitting it. You may use the lines drawn on the chart as possible reversal points.
It is best to use on Day and Week candles . In the very short range of time, the noise makes it hard to capture meaningful data.
🟠 HOW TO USE
The orange dots are the major pivot points (you can set the period of the long-term pivot) upon which the lines are built.
Change the "Manual Lookback Bars" from 300 to a meaningful period upon your inspection.
"Hit Tolerance %" means how close a pivot needs to be to the line to be considered as having touched the line.
If the line is too narrow, which is not very useful, you may consider increasing the "Long-term Pivot Bars" and experimenting with different settings for Channel Lines and Heuristics.
The result:
"Top Anchors to Test (L)" is how many L highest peaks and L lowest troughs should be weighed heavily when testing the lines. That is, with L = 1, the algorithm will reward the Bitgak lines that touch 1 highest peak and 1 lowest trough. It doesn't make much intuitive sense, so I suggest just testing it out.
🟠 HOW IT WORKS
Step 1: Pivot Detection
The indicator runs two parallel detection systems:
Short-term pivots (default: 7 bars on each side) - Captures minor swing highs/lows for detailed analysis
Long-term pivots (default: 17 bars on each side) - Identifies major structural turning points
These pivots form the foundation for all channel calculations.
Step 2: Anchor Point Selection
From the detected long-term pivots, the algorithm identifies:
The L highest peaks (default L=1, meaning the single highest peak)
The L lowest troughs (default L=1, meaning the single lowest trough)
These become potential "anchor points" for channel construction. Higher L values test more combinations but increase computation time.
Step 3: Channel Candidate Generation
For support channels: Every pair of troughs becomes a potential base line (A-B)
For resistance channels: Every pair of peaks becomes a potential base line (A-B)
The algorithm then tests each peak (for support) or trough (for resistance) as pivot C.
Step 4: Optimal Spacing Calculation
For each A-B-C combination, the algorithm calculates:
Unit Spacing = (Distance from C to A-B line) / Multiplier
It tests multipliers from 0.5 to 4.0 (or your custom range), asking: "If pivot C sits on the 1.0 line, what spacing makes the most pivots hit other lines?"
Step 5: Scoring & Selection
Each configuration is scored by counting how many pivots fall within tolerance (default 1% of price) of any parallel line in the range . The highest-scoring channel is drawn on your chart.
MACD AI Flux Pro Dashboard V. 2Acknowledgment
This indicator is built upon the MACD-V (Volatility-Normalized MACD) methodology originally created by Alex Spiroglou, CMT, whose research (2015–2022) introduced the principle of normalizing MACD momentum by volatility (MACD/ATR). Full acknowledgment and credit are hereby given to Mr. Spiroglou as the original author of the MACD-V concept and framework.
Indicator Overview — MACD-V Flux Pro Dashboard V.2
The MACD-V Flux Pro Dashboard advances Spiroglou’s volatility-normalized foundation into a comprehensive multi-system architecture that unifies momentum, trend, volatility, and compression analytics in one visual framework. It is engineered for precision decision-making in both intraday and swing-trading environments.
Key Dashboard Features:
Dynamic Probability Engine: Calculates real-time long and short probabilities by weighting momentum, slope, compression, and volume pressure components into a composite score.
Multi-Timeframe Confirmation (HTF Tiles): Displays live directional agreement across fast, mid, and slow timeframes for confidence filtering and signal validation.
Regime Detection System: Automatically classifies the market as Trend Up, Trend Down, Compression, or Transition, applying background color cues for instant context.
Risk and News Filters: Integrates ATR-based risk gating and customizable “mute windows” to block trade signals during high-volatility or scheduled news events.
VWAP and Adaptive Bands: Plots VWAP with configurable ATR or standard-deviation bands to highlight over-extension and pullback zones.
Trend-Day and Opening-Range Logic: Monitors RTH (Regular Trading Hours) price behavior to identify potential trend-day conditions.
Smart Entry Arrows: Generates visual long/short signals only when multiple subsystems confirm direction, slope strength, and proximity to VWAP within defined thresholds.
On-Chart Dashboard Panel: Presents live metrics including probability bias, regime state, ATR level, risk status, and news filters with adaptive color-coding and optional emoji cues for intuitive interpretation.
Chart Display Summary:
All elements are presented directly on the main chart, combining price structure, VWAP bands, EMAs, and regime background shading with the real-time dashboard panel. The design eliminates the need for a secondary pane, offering a consolidated and context-rich view of market dynamics
Index of Civilization DevelopmentIndex of Civilization Development Indicator
This Pine Script (version 6) creates a custom technical indicator for TradingView, titled Index of Civilization Development. It generates a composite index by averaging normalized stock market performances from a selection of global country indices. The normalization is relative to each index's 100-period simple moving average (SMA), scaled to a percentage (100% baseline). This allows for a comparable "development" or performance metric across diverse markets, potentially highlighting trends in global economic or "civilizational" progress based on equity markets.The indicator plots as a single line in a separate pane (non-overlay) and is designed to handle up to 40 symbols to respect TradingView's request.security() call limits.Key FeaturesComposite Index Calculation: Fetches the previous bar's close (close ) and its 100-period SMA for each selected symbol.
Normalizes each: (close / SMA(100)) * 100.
Averages the valid normalizations (ignores invalid/NA data) to produce a single "Index (%)" value.
Symbol Selection Modes:Top N Countries: Selects from a predefined list of the top 50 global stock indices (by market cap/importance, e.g., SPX for USA, SHCOMP for China). Options: Top 5, 15, 25, or 50.
Democratic Countries: ~38 symbols from democracies (e.g., SPX, NI225, NIFTY; based on democracy indices ≥6/10, including flawed/parliamentary systems).
Dictatorships: ~12 symbols from authoritarian/hybrid regimes (e.g., SHCOMP, TASI, IMOEX; scores <6/10).
Customization:Line color (default: blue).
Line width (1-5, default: 2).
Line style: Solid line (default), Stepline, or Circles.
Data Handling:Uses request.security() with lookahead enabled for real-time accuracy, gaps off, and invalid symbol ignoring.
Runs calculations on every bar, with max_bars_back=2000 for historical depth.
Arrays are populated only on the first bar (barstate.isfirst) for efficiency.
Predefined Symbol Lists (Examples)Top 50: SPX (USA), SHCOMP (China), NI225 (Japan), ..., BAX (Bahrain).
Democratic: Focuses on free-market democracies like USA, Japan, UK, Canada, EU nations, Australia, etc.
Dictatorships: Authoritarian markets like China, Saudi Arabia, Russia, Turkey, etc.
Usage TipsAdd to any chart (e.g., daily/weekly timeframe) to view the composite line.
Ideal for macro analysis: Compare democratic vs. authoritarian performance, or track "top world" equity health.
Potential Limitations: Relies on TradingView's symbol availability; some exotic indices (e.g., KWSEIDX) may fail if not supported. The 40-symbol cap prevents errors.
Interpretation: Values >100 indicate above-trend performance; <100 suggest underperformance relative to recent averages.
This script blends financial data with geopolitical categorization for a unique "civilization index" perspective on global markets. For modifications, ensure symbol tickers match TradingView's format.
Range Boxes XL (Nephew_Sam_) inspiredThis indicator is just Nephew_Sam's "Range Box" indicator modified. It gives the user the opportunity to plot multiple range boxes. This has been one of my favorite indicators for a while. Hopefully some you you all can benefit from it as I have. Thank you @Nephew_Sam.
SALSA Multi-Framework Analysis SuiteThis indicator, SALSA (SALSA Multi-Framework Analysis Suite), is an original compilation designed to provide a multi-dimensional view of the market by integrating several distinct analytical frameworks into a single tool. It is not a simple aggregation of standard indicators without purpose.
The core concept is to combine the analytical power of different technical methodologies:
1. Multi-Length Moving Averages (MAs):A customizable set of 6 MAs (with user-defined types and lengths) provides trend direction, potential support/resistance levels, and generates signals through crossovers. Their rainbow color scheme (Red to Violet) helps visualize different timeframes.
2. **Volume Profile (VP):** Displays the distribution of trading volume at different price levels over a defined lookback period. Key levels like the Point of Control (PoC), Value Area High (VAH), and Value Area Low (VAL) are highlighted with specific, user-adjustable colors (e.g., red PoC, orange VAH, blue VAL) to identify significant price zones where institutional interest may have occurred.
3. Divergence Detection: Implements an algorithm to identify regular and hidden bullish and bearish divergences between an internal oscillator (`sz`) and the asset's price action. This helps anticipate potential trend reversals before they are confirmed by price.
4. Trend & Volatility Indicators: Includes VWAP, Bollinger Bands, and Ichimoku Cloud, offering additional layers for trend confirmation, volatility assessment, and dynamic support/resistance levels.
5. Momentum Indicators:** Features an internal oscillator inspired by Koncorde concepts, using CMF, OBV, RSI, and Stochastic to provide momentum-based buy/sell shapes.
6. Trading Signals (SALSA System):Generates potential buy/sell signals based on the interaction between the `sz` oscillator and ADX values.
7. Whale Detector:Aims to identify potential large player activity based on specific volume and price action patterns.
The primary goal is to allow traders to cross-reference signals from different analytical frameworks (trend, momentum, volume, volatility) simultaneously, increasing the potential for robust trade setups. The extensive input options allow for significant customization to fit various trading styles and preferences.
This script is provided for educational purposes to demonstrate the integration of multiple technical analysis concepts in Pine Script.
Divergences: Price × RSI × OBV The Triple Confirmation Divergence indicator is a sophisticated momentum and volume-based tool designed to identify high-probability trend exhaustion points and potential reversals. It moves beyond traditional single-indicator divergence analysis by synthesizing signals from three core pillars of technical analysis: Price Action, Momentum, and Volume Flow.
This indicator works better on the time frames: 1H, 4H, 1D, 1W and 1M.
Friday’s Close – Futures Weekend AnchorPurpose:
This indicator highlights the US futures weekend close price — the exact level where CME markets end trading on Friday at 4:00 PM CT / 5:00 PM ET.
It’s designed primarily for crypto traders who want to compare weekend market behavior to the traditional finance (TradFi) close.
Why it matters:
Crypto trades 24/7, but global liquidity and sentiment still pivot around the Friday futures close. During the weekend, crypto can “drift” relative to traditional markets — this line shows exactly where the week ended for Wall Street, giving you a clean reference point until futures reopen on Sunday evening.
Features
Precise Friday close capture (CME weekend close minute, not just daily bar)
Works on any ticker — especially useful for BTC, ETH, or other crypto assets
Adjustable for time zone (New York / Chicago / custom)
Option to select prior weeks with weekOffset
Draws a single clean line from Friday’s close forward — no clutter, no vertical stitches
Optional right-edge label with the close value and timestamp
Usage Tips
Keep the chart’s timezone in sync with your anchor (America/New_York = 5 PM ET, America/Chicago = 4 PM CT).
Use weekOffset = 1 to view last week’s Friday close.
Combine with volume, funding, or open interest indicators to see how weekend moves relate to the TradFi close.
Ideal for weekend analysis — shows whether crypto is trading rich or cheap vs. the Friday benchmark before futures reopen.
Recommended For
Crypto traders, analysts, and quant enthusiasts who monitor TradFi–crypto decoupling or weekend premium behavior.
ATR-Normalized MACD w/ Visual BackgroundChatGPT said:
Absolutely! Let’s break down the YON MACD indicator in detail so you understand what it does, how it works, and how to use it.
1. Purpose
The YON MACD is a volatility-adjusted version of the classic MACD. Instead of just using EMA differences, it normalizes the MACD by the Average True Range (ATR), which means:
High-volatility markets → the MACD signal is scaled down.
Low-volatility markets → the MACD signal is scaled up.
This gives a more consistent momentum signal across different market conditions, avoiding false spikes during high volatility.
2. Components
a. Fast and Slow EMAs
fastEMA → Typically 12-period EMA of price.
slowEMA → Typically 26-period EMA of price.
The difference between them measures short-term momentum.
b. ATR Normalization
atr → Average True Range over a specified period (default 26).
Formula:
YON MACD=fastEMA - slowEMAATR×100
YON MACD=
ATR
fastEMA - slowEMA
×100
This adjusts the MACD for market volatility.
c. Signal Line
EMA of the YON MACD (default 9 periods).
Acts like a trigger line for crossovers.
d. Histogram
hist = YON MACD - Signal Line
Visualizes divergence: how far the MACD is from the signal line.
Positive histogram → bullish momentum, negative → bearish momentum.
3. Visual Features
Plot Lines
YON MACD → colored green (rising), red (falling), gray (unchanged).
Signal line → always blue.
Histogram → columns: green (positive), red (negative).
Background Coloring
Green → MACD rising + histogram positive (bullish momentum).
Red → MACD falling + histogram negative (bearish momentum).
Yellow/Orange → histogram flips (early momentum change).
This makes trend and momentum immediately visible without having to study the panel in detail.
4. Alerts
MACD Cross Alerts
YON MACD crosses above the signal → potential buy.
YON MACD crosses below the signal → potential sell.
Histogram Flip Alerts
Histogram flips from negative → positive → early bullish signal.
Histogram flips from positive → negative → early bearish signal.
This allows automation or notifications for momentum changes.
5. How to Use
Trend Confirmation
Green background + MACD above signal → trend is bullish.
Red background + MACD below signal → trend is bearish.
Entry/Exit Signals
Buy: MACD crosses above signal or histogram flips positive.
Sell: MACD crosses below signal or histogram flips negative.
Volatility Adjustment
Since the MACD is ATR-normalized, it avoids overreacting in volatile conditions and highlights true momentum shifts.
Summary
The YON MACD is a trend-following and momentum indicator with:
Volatility normalization (ATR)
MACD cross signals
Histogram divergence visualization
Background colors for instant momentum reading
Alerts for crossovers and early momentum flips
It’s a powerful all-in-one momentum tool that can work for day trading, swing trading, or even longer-term analysis.
PAMASHAIn this version of 19 OCT 001 UPDATE, this Indicator forecast the future by indicating Hidden divergences and regular Divergences. Besides, it will distinguish order blocks, FVGs, ... .
Multi-Timeframe Stochastic (4x) z Podświetlaniemnowy skrypt bez etykietek o wyprzedaniu i wykupieniu
ICT First Presented FVG with Volume Imbalance [1st P. FVG + VI]The indicator identifies and highlights the first presented Fair Value Gap (FVG) occurringthe morning (09:30–10:00) and afternoon (13:30–14:00) session's first 30 minutes. It includes an optional feature to extend FVG zones when a volume imbalance (V.I.) is detected, providing additional context for areas of potential price inefficiency. This powerful combination helps traders identify significant market structure gaps that often act as support/resistance zones and potential price targets.
What is an FVG?
A Fair Value Gap, often abbreviated as FVG, is a price range on a chart where there is an inefficiency or imbalance in trading. This typically happens when price moves rapidly in one direction, leaving a gap between the wicks or bodies of three consecutive candles. For example, in a bullish move, if the low of the third candle is higher than the high of the first candle, the space between them is the FVG.
What is a Volume Imbalance?
A volume imbalance is a smaller, more precise inefficiency within price action, often visible as a "crack" or thin area in the price delivery. It represents a spot where the volume traded was not balanced between buyers and sellers, often seen as a thin wick or a gap between candle bodies.
FVG + Volume Imbalance:
When you have a fair value gap that contains a volume imbalance, it becomes a more significant area of interest. ICT teaches that you should not ignore a volume imbalance if it’s part of an FVG. In fact, you should use the volume imbalance in conjunction with the FVG to define your trading range more accurately
📊 Volume Imbalance Integration
Toggle Option: Enable/disable volume imbalance detection based on preference
Extended Boundaries: When enabled, FVG boundaries expand to include volume imbalance zones
Accurate Gap Sizing: Total gap calculation includes volume imbalance extensions
Multi-Scenario Support: Handles volume imbalances at start, end, or both sides of FVG formations
📈 Multiple Display Modes
Current Day: Shows only today's FVGs for clean chart analysis
Current Week: Displays all weekly FVGs for broader context
Forward Extension: Extends FVG boxes and CE, Upper/Lower Quadrant lines into the future
📊 Visualization
Bullish FVGs appear in semi-transparent blue or purple zones (depending on session).
Bearish FVGs appear in red or orange zones.
Optional dotted lines mark the CE (midpoint) of each FVG for additional reference.
Quadrant Division: Additional 25%/75% lines for large FVGs (configurable minimum gap size)
🎯 Smart Filtering
First Presentation Only: Only displays the initial FVG in each session, avoiding clutter
Minimum Gap Size: Configurable tick-based thresholds for AM and PM sessions
Core FVG Validation: Ensures only valid Fair Value Gaps are displayed
⚙️ Configuration Options
Display Settings
Show Mode: Current Day or Current Week view
Forward Extension: 1-500 bars projection
Day Labels: Toggle weekday labels in weekly mode
Text Color: Customizable label colors
Volume Imbalance Settings
Include Volume Imbalance: Master toggle for enhanced boundary calculation
Automatic Detection: Identifies imbalance scenarios without additional input
Session-Specific Settings
AM Session (09:30-10:00):
Enable/disable AM FVG detection
Customizable bullish/bearish colors
CE line visibility and coloring
Minimum gap size in ticks
PM Session (13:30-14:00):
Enable/disable PM FVG detection
Customizable bullish/bearish colors
CE line visibility and coloring
Minimum gap size in ticks
Quadrant Settings
Enable/Disable: Toggle quadrant line display
Minimum Gap: Tick threshold for quadrant activation
Line Style: Dotted, dashed, or solid
Color: Customizable quadrant line color
How It Works
FVG Boundary Calculation
Traditional FVG: High to Low (bullish) or Low to High (bearish)
Enhanced FVG: Extended boundaries to include volume imbalance zones when enabled
Total Gap Size: Calculated including any volume imbalance extensions
Volume Imbalance Detection
The indicator identifies volume imbalances by detecting bars where:
Bullish Imbalance: Current bar's body is completely above previous bar's body
Bearish Imbalance: Current bar's body is completely below previous bar's body
⚠️ Disclaimer
This script is a technical visualization tool only.
It does not provide financial advice, signals, or predictions. Always perform independent analysis and manage risk appropriately before making trading decisions.
Elite_Pro_SignalsA sophisticated trading indicator that combines 8 powerful technical factors into a single confidence score to identify high-probability reversal signals.
8-Factor Confidence Scoring - Weighted analysis of multiple technical aspects
Smart Trend Alignment - Multi-timeframe EMA convergence
Advanced Pattern Recognition - Pin Bars, Engulfing, Inside Bars, Hammer/Shooting Star
Supply/Demand Zones - Automatic key level detection
Support/Resistance Confluence - Price action at significant levels
⚡ Smart Filters
Market Regime Detection - Avoid choppy/low-volatility conditions
Volume Confirmation - Ensure institutional participation
Liquidity Sweep Validation - Smart money movement detection
Candle Quality Filter - Eliminate false signals from tiny candles
🔧 How It Works
Confidence Scoring System (0-100%)
text
Wick Strength (30%) + Trend Alignment (25%) + Pattern Recognition (15%) +
Supply/Demand Zones (12%) + Support/Resistance (10%) + RSI Momentum (5%) +
Volume & Liquidity (5%)
Signal Generation
🟢 BUY Signals - Bullish rejection + Uptrend + High confidence
🔴 SELL Signals - Bearish rejection + Downtrend + High confidence
🎨 Visual Features
Clear Buy/Sell Arrows - Easy-to-spot signals
Confidence Background - Color-coded confidence levels
Info Table - Real-time metrics and analysis
Multi-Timeframe EMAs - Trend direction visualization
Professional Alerts - Real-time notifications
⚙️ Customization
Confidence Weights
Adjust the importance of each factor to match your trading style
Strategy Parameters
EMA periods (Fast: 20, Slow: 50)
RSI levels (Oversold: 25, Overbought: 80)
Minimum confidence threshold (70% recommended)
Advanced Filters
Volume multiplier settings
Liquidity sweep sensitivity
Market regime filters
Zone detection parameters
📈 Recommended Usage
Timeframes
Primary: 5-minute to 1-hour charts
Best Results: 15-minute with 1-hour trend alignment
Markets
Forex Pairs (EURUSD, GBPUSD, XAUUSD)
Indices (US30, NAS100, DE40)
Commodities (Gold, Oil)
Trading Sessions
London & New York overlap (Highest volatility)
Avoid Asian session (Low signal quality)
🔍 Signal Interpretation
High-Confidence Signals (80%+)
Strong trend alignment
Clear rejection patterns
Volume confirmation
Multiple confluence factors
Medium-Confidence Signals (60-80%)
Good setup but missing 1-2 factors
Requires additional confirmation
Low-Confidence Signals (<60%)
Avoid trading
Wait for better setups
ADOLFO'S NINJA TURTLE SOUPThis indicator signals when there is a turtle soup of m30 in the NY session following the trend of a supertrend indicator in a 1-hour time interval, being excellent for taking RR trades 1 to 1. Created by Engineer Adolfo Pérez Espinoza.
