This is an advanced utility that uses fractal dimension and trend information to generate useful insights about price activity and potential trade signals.
In this script, my Advanced FDI algorithm is used to estimate the fractal dimension of the dataset over a user defined period.
Fractal dimension, unlike spatial or topological dimension, measures how complexity or detail in an "object" changes as its unit of measurement changes, rather than the number of axes it occupies.
Many forms of time series data (seismic data, ECG data, financial data, etc.) have been theoretically shown to have limited fractal properties.
Consequently, we can estimate the fractal dimension from this data to get an approximate measure of how rough or convoluted the data stream is.
Financial data's fractal dimension is limited to between 1 and 2, so it can also be used to roughly approximate the Hurst Exponent by the relationship H = 2 - D.
When D=1.5, data statistically behaves like a random walk. D above 1.5 can be considered more rough or "mean reverting" due to the increase in complexity of the series.
D below 1.5 can be considered more prone to trending due to the decrease in complexity of the series.
In this script, you are given the option to apply my Band Shelf EQ algorithm to the dataset before estimating dimension.
This enables you to transform your data and observe how its newly measured complexity changes the outputs.
Whether you want to give emphasis to some frequencies, isolate specific bands, or completely alter the shape of your waveform, EQ filtration makes for an interesting experience.
The default EQ preset in this script removes the low shelf, then attenuates low end and high end oscillations.
The dominant cyclical components (bands 3 - 5 on default settings) are passed at 100%, keeping emphasis on 8 to 64 sample per cycle oscillations.
The estimated dimension is then used to calculate the High Dimension Zone and the Error Bands.
Both of these components are great for analyzing trends and for estimating support and resistance values.
The High Dimension Zone is composed of a high line, low line, and midline that update their values when D is at or above the user defined zone activation threshold.
The zone is then averaged over a user defined amount of updates and zone width is multiplied by a user defined value.
The Error Bands are composed of a high, low, and middle band that are calculated using an error adjusted adaptive filter algorithm that utilizes dimension as the smoothing constant modulator.
The basis filter for the error bands has two calculation types built in:
-> MA - Calculates the filters as adaptive moving averages modulated by D.
-> WAP - Calculates the filters as adaptive weighted average prices modulated by D.
The WAP starting point can be based on the High Dimension Zone being moved or a user defined interval.
You can also define the WAP's minimum and maximum periods for additional control of the initial and decayed sensitivity states.
The alpha (smoothing constant) modulator can be fine tuned using the designated dimension thresholds.
When D is at or below the low dimension threshold, the filter is most responsive, and vice-versa for the high dimension threshold.
Alpha is then multiplied by a user defined amount for additional control of sensitivity.
Band width is then multiplied by a user defined value.
A Hull transformation can be optionally performed on the zone averaging and band filter algorithms as well, which will alter the frequency and phase responses at the cost of some overshoot.
This transformation is the same as a typical Hull equation, but with custom filters being used instead of WMA.
The calculated outputs are then used to gauge the trend for signal and color scheme calculations.
First, a dominant trend indication is selected from its designated dropdown tab.
The available built in indications to choose from are:
-> Band Trend (Outer) - Detects band breakouts and saves their direction to gauge trend.
-> Band Trend (Median) - Uses disparity between source and the band median to gauge trend.
-> Zone Trend (Expansion) - Detects when the high fractal zone expands and saves its direction to gauge trend.
-> Zone Trend (Outer Levels) - Detects zone breakouts and saves their direction to gauge trend.
-> Zone Trend (Median) - Uses disparity between source and the zone median to gauge trend.
Then the trend output is optionally filtered before triggering signals.
There are multiple trend filtration options built into this script that can be used individually or in unison:
-> Filter Trend With High Fractal Zone - Filters the trend using the specified zone level or combination of levels with either disparity or crossover conditions.
There is a set of options for bullish and bearish trends.
-> Filter Trend With Error Bands - Filters the trend using the specified band level or combination of levels with either disparity or crossover conditions.
There is a set of options for bullish and bearish trends.
-> Filter Trend With Band - Zone Disparity Condition - Filters the trend using the specified band level, zone level, and disparity direction.
There is a set of options for bullish and bearish trends.
-> Filter By Zone That Moves With The Trend - Filters the specified trend by detecting when the high fractal zone’s direction correlates.
-> Filter By Bands That Move With The Trend - Filters the specified trend by detecting when the error bands’ direction correlates.
-> Filter Using Wave Confirmation - Filters the specified trend by detecting when source is in a correlating wave with user defined length.
You can also choose separate lengths for bullish and bearish trends.
-> Filter By Bars With Decreasing Dimension - Filters the specified trend by detecting when fractal dimension is decreasing, suggesting source is approaching more linear movement.
The filtered trend output is then used to generate entry and exit signals.
There are multiple options included to fine tune how these signals behave.
For entries, you have the following options built in:
-> Limit Entry Dimension - Limits the range of dimensional values that are acceptable for entry with user defined thresholds.
This can be incredibly useful for filtering out entries taken when price is moving in a more complex pattern,
or when price is approaching a peak and you’re a little late to the party.
-> Enable Position Increase Signals - Enables more entry signals to fire up to a user defined number of times when a position is active.
This is helpful for those who incrementally increase their positions, or for those who want to see additional signals as reference.
-> Limit Number Of Consecutive Trades - Limits the number of consecutive trades that can be opened in a single direction to a user defined maximum.
This is especially useful for markets that only trend for brief durations.
By limiting the amount of trades you take in one direction, you have more control over your market exposure.
There is a set of these options for both bullish and bearish entries.
For exits, you have the following options built in:
-> Include Exit Signals From High Fractal Zone - Enables exit signals generated from either crossover or disparity conditions between price and a specified zone level.
-> Include Exit Signals From Error Bands - Enables exit signals generated from either crossover or disparity conditions between price and a specified zone level.
-> Include Inactive Trend Output For Exits - Triggers exit signals when the filtered trend output is an inactive value.
-> Dimension Target Exit Method - Triggers exit signals based on fractal dimension hitting a user defined threshold.
You can either choose for the exit to trigger instantly, or after dimension reverts from the target by a user specified amount.
-> Exit At Maximum Entry Dimension - Triggers exit signals when dimension exceeds the maximum entry limit.
-> Number Of Signals Required For 100% Exit - Controls the number of exit signals required to close the position.
You can also choose whether or not to include partial exits.
Enabling them will fire a partial signal when an exit occurs, but the position is not 100% closed.
Of course, there is a set of these options for bullish and bearish exits.
In my opinion, no system is complete without some sort of risk management protocol in place.
So in this script, bullish and bearish trades come equipped with optional protective SL and TP levels with signals.
The levels can be fixed or trailing, and are calculated with a user defined scale.
The available scales for SL and TP distances are ticks, pips, points, % of price, ATR, band range, zone range, or absolute numerical value.
Now what if you have some awesome signals of your own that you’d like to use in conjunction with this script?
Well good news. You can!
In addition to all of the customizable features built into the script, you can integrate your own signals into the system using the external data inputs and linking your script.
This adds a whole new layer of customization to the system.
With external signals, you can use your own custom dominant trend indication, filter the dominant trend, and trigger exits and protective stops using custom signals.
The signal input is an integer format. 1=Bull Signal, -1=Bear Signal, 2=Bull Exit, -2=Bear Exit, 3=Bull SL Hit, -3=Bear SL Hit, 4=Bull TP Hit, -4=Bear TP Hit.
You can also use the external input as a custom source value for either dimension or global sources to further tailor the system to your liking.
The color scheme in this script utilizes two custom gradients that can be chosen for bar and background colors:
-> Trend (Dominant or Filtered) - A polarized gradient that shows green scaled values for bullish trend and red scaled values for bearish trend.
The colors are brighter and more vibrant as perceived trend strength increases.
-> Dimension - A thermal gradient that shows cooler colors when dimension is higher, and hotter colors when dimension is lower.
Both color schemes are dependent on the designated dimension thresholds.
The script comes equipped with alerts for entries, additional entries, exits, partial exits, and protective stops so you can automate more and stare at your charts less.
And lastly, the script comes equipped with additional external outputs to further your analysis:
-> Entry And Exit Signals - Outputs in the same format as the external signal input with these additions: 5=Bull Increase, -5=Bear Increase, 6=Bull Reduce, -6=Bear Reduce.
You can use these to send to other scripts, including strategy types so you can backtest your performance on TV’s engine.
-> Dominant Trend - Outputs 1 for bullish and -1 for bearish. Can be used to send trend signals to another script.
I designed this tool with individuality in mind.
Every trader has a different situation. We trade on different schedules, markets, perspectives, etc.
Analytical systems of basically any type are very seldom (if ever) “one size fits all” and usually require a fair amount of modification to achieve desirable results.
That’s why this system is so freely customizable.
Your system should be flexible enough to be tailored to your analytical style, not the other way around.
When a system is limited in what you can control, it limits your experience, analytical potential, and possibly even profitability.
This is not your typical pre-set system. If you're looking for just another "buy, sell" script that requires minimal thought, look elsewhere.
If you’re ready to dive into a powerful technical system that allows you to tailor the experience to your style, welcome!
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This is a premium script, and access is granted on an invite-only basis.
To gain access, get a copy of the system overview, or for additional inquiries, send me a direct message.
I look forward to hearing from you!
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General Disclaimer:
Trading stocks, futures, Forex, options, ETFs, cryptocurrencies or any other financial instrument has large potential rewards, but also large potential risk.
You must be aware of the risks and be willing to accept them in order to invest in stocks, futures, Forex, options, ETFs or cryptocurrencies.
Don’t trade with money you can’t afford to lose.
This is neither a solicitation nor an offer to Buy/Sell stocks, futures, Forex, options, ETFs, cryptocurrencies or any other financial instrument.
No representation is being made that any account will or is likely to achieve profits or losses of any kind.
The past performance of any trading system or methodology is not necessarily indicative of future results.