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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Safwan Rushdi Khalil Arekat
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
FREE
Top Gun Oscillators
Safwan Rushdi Khalil Arekat
5 (2)
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
FREE
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
FREE
Price Change Distributions
Safwan Rushdi Khalil Arekat
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
FREE
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
FREE
Price Rectifier Signals
Safwan Rushdi Khalil Arekat
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
FREE
Commodity Channel Index Corrected
Safwan Rushdi Khalil Arekat
5 (1)
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
FREE
High Pass Filter Candlesticks
Safwan Rushdi Khalil Arekat
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
FREE
Volatility Limit Trend
Safwan Rushdi Khalil Arekat
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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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
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ERozen 2024.06.03 08:21 
 

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