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Level: 2 Background John F. Ehlers introuced Classic Hilbert Transform in his "Cycle Analytics for Traders" chapter 14 on 2013. The Hilbert Transform is a procedure to create complex signals from the simple chart data familiar to all traders. Once we have the complex signals, we can compute indicators and signals that are more accurate and responsive than those...

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Level: 2 Background John F. Ehlers introduced Autocorrelation Reversals in his "Cycle Analytics for Traders" chapter 8 on 2013. Function One of the distinctive characteristics of autocorrelation is that the autocorrelation shifts from yelow to red or from red to yellow at all values of lag at the cyclic reversals of the price. Therefore, all we need do to...

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Level: 2 Background John F. Ehlers introduced Autocorrelation Indicator in his "Cycle Analytics for Traders" chapter 8 on 2013. Function If we correlate a waveform composed of perfectly random numbers by itself, the correlation will be perfect. However, if we lag one of the data streams by just one bar, the correlation will be dramatically reduced. In a long...

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Level: 2 Background John F. Ehlers introuced Modified Stochastic Indicator in his "Cycle Analytics for Traders" chapter 7 on 2013. Function Conventional indicators are not immune to the effects of spectral dilation. For example, a Stochastic indicator remains near its upper bound when the market is in an uptrend even though a relatively short lookback period...

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Level: 2 Background John F. Ehlers introuced Zero Mean Roofing Filter in his "Cycle Analytics for Traders" chapter 7 on 2013. Function The HP-LP Roofing Filter output still contains all of these frequency components. The only way we can reduce the effect of these lower-frequency components is to introduce another high-pass filter, adding an additional 6 dB...

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Level: 2 Background John F. Ehlers introuced HP-LP Roofing Filter in his "Cycle Analytics for Traders" chapter 7 on 2013. Function A “roofing filter” can be used to limit the frequency content of an input before proceeding to construct an indicator. The roofing filter is composed of a highpass filter that passes only frequency components whose periods are...

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Level: 2 Background John F. Ehlers introuced Zero Crossings Period Measurer in his "Cycle Analytics for Traders" chapter 5 on 2004. Function The band-pass filter can be used as a relatively simple measurement of the dominant cycle. A cycle is complete when the waveform crosses zero two times from the last zero crossing. Therefore, each successive zero...

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Level: 2 Background John F. Ehlers introuced Decycler Oscillator in his "Cycle Analytics for Traders" chapter 4 on 2004. Function A decycler oscillator is created by subtracting the output of a high-pass filter having a shorter cutoff period from the output of another high-pass filter having a longer cutoff period. This way, both elements have a zero in their...

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Level: 2 Background John F. Ehlers introuced Smoothed Adaptive Momentum in his "Cybernetic Analysis for Stocks and Futures" chapter 12 on 2004. Function Smoothed Adaptive Momentum is to measure the Dominant Cycle period and then use that measured period to take a onecycle momentum. It really does matter if you measure the Dominant Cycle. The trend component...

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Level: 2 Background John F. Ehlers introuced Relative Vigor Index in his "Cybernetic Analysis for Stocks and Futures" chapter 6 on 2004. Function Relative Vigor Index (RVI) uses concepts dating back over three decades and also uses modern filter and digital signal processing theory to realize those concepts as a practical and useful indicator. The RVI merges...

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Level: 2 Background John F. Ehlers introuced Cyber Cycle Trading Strategy in his "Cybernetic Analysis for Stocks and Futures" chapter 4 on 2004. Function With cyber cycle alone, the Trigger lags the Cycle by one bar, so that their crossing introduces at least another bar of lag. Finally, Dr Ehler concluded that we can’t execute the trade until the bar after...

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Level: 2 Background John F. Ehlers introuced Optimum Predictor in his "Rocket Science for Traders" chapter 20 on 2001. Function As we have seen before, the majority of the code involves the computation of the period using the Homodyne Discriminator algorithm. Once the period has been computed, the Optimum Predictor is found in just a few lines of code....

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Level: 2 Background John F. Ehlers introuced Hilbert Oscillator in his "Rocket Science for Traders" chapter 8. The Hilbert Oscillator identifies every major turning point. Function blackcat L2 Ehlers Hilbert Oscillator is used to follow the trend. Although it will not be a leading indicator because of the 2-bar lag required to compute Q3, it does prove...

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Level: 2 Background John F. Ehlers introuced Dual Differential Cycle Period Measurer in his "Rocket Science for Traders" chapter 7. The In-phase and Quadrature components are computed with the Hilbert Transformer using procedures identical to those in the Dual Differentiator. Function blackcat L2 Ehlers Homodyne Discriminator Cycle Period Measurer is used to...

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Level: 2 Background John F. Ehlers introuced Hilbert Transform in his "Rocket Science for Traders" chapter 6. The Hilbert Transform is a procedure to create complex signals from the simple chart data familiar to all traders. Once we have the complex signals, we can compute indicators and signals that are more accurate and responsive than those computed using...

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Hot off the presses! The Truncated BandPass Filter was created by John Ehlers (Stocks & Commodities July 2020) and this is a much more reactive version of his original bandpass filter. When the indicator rises above 0 then it is an uptrend and when it falls below 0 then it is in a downtrend. Buy when the indicator line is red and sell when it is green. Let me...

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The Restoring Pull Indicator was created by John Ehlers (Stocks & Commodities V.11:10 (395-400)) and this was one of his earliest indicators that functions as a momentum indicator . Buy when the indicator line is green and sell when it is red. Let me know if you would like to see me publish more scripts or if you want something custom done! Note: I'm...

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Phase Calculation was authored by John F. Elders in the Stocks and Commodities Magazine 11/1996 This indicator will tell you if the stock is in a uptrend or downtrend. A phase number with a low number means it is in a uptrend and a phase number with a high number means it is in a downtrend. Let me know if you want to see me write code for different indicators!

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