Jerk Indicator

5

In physics, "Jerk" is the third time-derivative of position, with acceleration being the second derivative and velocity the first derivative. In technical analysis, the first derivative of price is the price momentum, with the second derivative,acceleration, being seldom used and the third derivative virtually unknown. The magnitude frequency response of a digital differentiator is a positive-slope straight line passing through zero frequency. Therefore, every instance of a digital signal differentiation results in increasing the power of the frequency dependence, the amplification of high frequency components, the diminishing low frequency components, in addition to reducing the lag by half a sampling period (bar). In my previous indicators True Momentum and Top Gun Oscillators, I provided some of the best momentum oscillators available. For these oscillators, the high-frequency noise attenuation is large enough to warrant the calculation and use of the acceleration. In particular,  one proprietary oscillator (RLP LPD) introduced by this developer and provided in  Top Gun Oscillators , has a high enough attenuation to enable the useful calculation of the derivative of acceleration itself, which is the jerk. The causality order of the three dynamical parameters is this: the jerk leads acceleration, which in turn leads velocity (momentum), which in turn leads the price itself.  So having all these advanced signals may help predict price motion. 

The first buffer of the indicator (exportable via iCustoms) is a signal buffer. The signal is +10 if the selected parameters (momentum, acceleration, jerk) fit a particular polarity combination criterion. For example, in screenshot 1, the signal is +10 (Blue) if both acceleration and jerk are positive valued, and -10 (Red) if both are negative valued.

The Acceleration and Jerk oscillator lines are not drawn to scale. They are magnified for visibility.

By the way, if you are wondering what the fourth, fifth and sixth derivatives are called, they are"snap" "crackle"  and "pop" !!!



Reviews 2
19monza64
96
19monza64 2025.01.09 13:15 
 

I tried your indicators. In addition to being very good and in my opinion innovative, they are also free. Thank you. What I don't understand, other than momentum, is how the Jerk (pink oscillator) can be used for trading signals.

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CRT Candle Range Theory HTF MT4.   Ultimate CRT Indicator: Advanced ICT Concepts and Malaysian SnR Trading System Discounted   Price   $50  !!     Secure your lifetime access   now   before it switches to   subscription-only ! Master the Market Maker's Footprints with the Most Advanced Candle Range Theory Indicator Unlock the true power of   Smart Money Concepts (SMC)   and trade precisely like the institutions with the   Ultimate CRT Indicator . Built exclusively for serious traders, this indic
Route Lines Prices
Vitalyi Belyh
Indicators
Route Lines Prices is an indicator designed for finding price directions. Its simple interface contains multiple algorithms for price behavior and future direction calculations. These algorithms include volatility calculations and price smoothing based on the timeframes used. The indicator has a single parameter for changing the " Calculating Price Values " value. The default value of 1 provides a balanced automatic calculation, which can be used without manually configuring the indicator. By m
GoldRush Trend Arrow Signal
Kirk Lee Holloway
5 (2)
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GoldRush Trend Arrow Signal V1.6 The GoldRush Trend Arrow Signal indicator V1.6 continues to provide precise, real-time trend analysis tailored for high-speed, short-term scalpers in XAU/USD , but it now has additional features and improved efficiency and reliability. Built specifically for the 1-minute time frame, this tool displays directional arrows for clear entry points, allowing scalpers to navigate volatile market conditions with confidence. The indicator consists of PRIMARY and SECONDARY
PZ 123 Pattern
PZ TRADING SLU
1 (1)
Indicators
Unlock powerful breakout opportunities The 123 Pattern is one of the most popular, powerful and flexible chart patterns. The pattern is made up of three price points: a bottom, a peak or valley, and a Fibonacci retracement between 38.2% and 71.8%. A pattern is considered valid when the price breaks beyond the last peak or valley, moment at which the indicator plots an arrow, rises an alert, and the trade can be placed. [ Installation Guide | Update Guide | Troubleshooting | FAQ | All Products  ]
Crystal Heikin Ashi Signals MT4
Muhammad Jawad Shabir
Indicators
CRYSTAL HEIKIN ASHI SIGNALS MT4 Professional Trend Detection Indicator with Smart Entry Signals See the Trend. Catch the Move. Trade with Confidence. The professional Heikin Ashi indicator built for traders who want clarity, precision, and EA-ready signal automation. WHAT IS CRYSTAL HEIKIN ASHI SIGNALS? Crystal Heikin Ashi Signals is a professional-grade MetaTrader 4 indicator that combines pure Heikin Ashi candle visualization with an advanced momentum-shift detection system. Designed for both
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Safwan Rushdi Khalil Arekat
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MT5 Version : Pre Note : The indicator uses the Open price value for calculations. This indicator represents a genuine momentum oscillator according to the true definition of "Momentum", and as realised by the techniques of digital filters. Scholarly papers   on the subject   by the current developer can be found   here  and here , but in this description we shall borrow only the minimum of conceptual and mathematical framework needed. In the process, we expose some long-held myths about indica
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This indicator represents a genuine momentum oscillator according to the true definition of "Momentum", and as realised by the techniques of digital filtering. ( Note : download a complete set of true momentum oscillators  here ). A scholarly paper on the subject   by the current developer can be found here , but in this description we shall borrow only the minimum of conceptual and mathematical framework needed. In the process, we expose some long-held myths about indicators supposedly measurin
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Safwan Rushdi Khalil Arekat
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This indicator is a useful tool for visualising cyclic components in price. It calculates the Discrete Fourier Transform (DFT) of a price chart data segment selected by the user. It displays the cycles, the spectrum and the synthesised signal in a separate window.  The indicator is intended as a learning tool only, being unsuitable for providing actual trade signals. Download the file -  it is a free toy. Play with it to understand how signals can be transformed by controlling their cyclic comp
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High Pass Filter Trading Signal
Safwan Rushdi Khalil Arekat
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Latest Changes in 1.6 :  Added Signal Modes input. Mode 1 : HPF positive go long blue, HPF negative go short red. Mode 2 : slow envelope only, HPF above upper envelope go long blue, HPF below lower envelope go short red. Mode 3 : HPF above both upper envelopes - go long blue, HPF below both lower envelopes go short red. Mode 4 : Go long blue if HPF crosses above upper slow, but fast upper should be below slow upper at the time, exit when HPF crosses below upper fast, reverse logic for short red
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Quick n Dirty Frequency Response
Safwan Rushdi Khalil Arekat
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This indicator does not process the price chart data and does not provide trading signals. Instead, it is  an application to compute and display the frequency response of many conventional indicators. Moving averages like the SMA, LWMA and EMA, and  oscillators like the MACD, CCI, Awsome Osc, all have the form of digital filters. Electronic engineers use a special method to characterise the performance of these filters by studying their frequency response. Two important quantities of the freque
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High Pass Filter Candlesticks
Safwan Rushdi Khalil Arekat
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This indicator applies the  biquad high pass filter to the price-chart data, and displays the filter output for the OHLC as candlesticks. The candlesticks corresponds to the actual calculations of the filter value  during the formation of each price bar (not from all historical highs lows or closes). The shape of the bars therefore corresponds directly to the shape of each price bar. High pass filters are an underappreciated type of oscillator that are seldom used in technical analysis in the st
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Note : New in 1.6: the indicator now exports the trade signal (but not displayed). Go long with light blue. Go short with red. Exit otherwise. Signal to be imported to your EA using iCustom. This indicator provides Best of the Best linear filter momentum oscillators that I am aware of (Low Pass Differentiators, LPD's) . All of them are  recent developments by this developer, or other researchers. The oscillator line is the first buffer of the indicator, and can be called  in other indicators or
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This indicator resolves an unrecognised defect in the Commodity Channel Index Oscillator (CCI). The CCI is based on a high pass filter calculated by subtracting the p-period simple moving average of a price signal (usually typical value) from the price signal itself. Then, the result is divided by the absolute mean deviation of the same period. The frequency response of a signal minus its simple moving average is shown in the first screen shot (in Blue). (see my free indicator : Q n D Frequency
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Volatility Limit Trend
Safwan Rushdi Khalil Arekat
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Volatility Limit Trend Indicator (VLT), an original indicator by this developer,  is a trend indicator based on setting a fixed volatility limit as a percentage of price. Volatile price is allowed to wander between two channel lines defining the fixed volatility about a central line. The price crossing one of the channel lines defines an exceeding of the allowed volatility, and ushering in one of two situation : either a continuation or a reversal of trend. The first buffer of the indicator (not
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This indicator demonstrates that the price change of financial instruments is NOT a random walk process, as advocated by the "Random Walk Hypothesis", and as popularised by the bestselling book "A Random Walk Down Wall Street". I wish that were the case!  It is shown here that the real situation with price change is actually much worse than a random walk process!  Deceptive market psychology, and the bulls-bears tug of war, stack up the odds against traders in all instruments, and all time frame
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Safwan Rushdi Khalil Arekat
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This indicator provides trading signals based on the polarity of the dynamical parameters of two digital signals. The dynamical parameters (momentum-acceleration) are derived by applying a high quality momentum oscillator, MTEMA LPD ( see Top Gun Oscillators ) to two digital signals. The MTEMA momentum oscillator is first applied to the price itself. Then, a rectification procedure is applied to the price based on the signals from the momentum oscillator yielding a rectified price signal. This s
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High Time Frame Relative Strength Index
Safwan Rushdi Khalil Arekat
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MUST READ CAUTION BEFORE PURCHASE This  one-of-a-kind indicator displays the instantaneous high resolution High Time Frame Relative Strength Index  (HTF RSI), where  up to three higher time-frame RSI's can be displayed simultaneously on the current chart. The indicator differs drastically from previous multi-time-frame RSI indicators in that it displays  the high resolution bar-by-bar calculation of the HTF RSI - and not just the discrete values at the HTF bar closings. This allows for earlier
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19monza64
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19monza64 2025.01.09 13:15 
 

I tried your indicators. In addition to being very good and in my opinion innovative, they are also free. Thank you. What I don't understand, other than momentum, is how the Jerk (pink oscillator) can be used for trading signals.

ERozen
205
ERozen 2024.06.03 08:21 
 

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