Level: 2 Background John F. Ehlers introuced Three-Pole Butterworth Filter in his "Cybernetic Analysis for Stocks and Futures" chapter 13 on 2004. Function The transfer responses of Butterworth filters have polynomials in both the numerator and denominator. There is a polynomial in the numerator as well as the denominator. The significance of the polynomial...

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Level: 2 Background John F. Ehlers introuced Two Pole Butterworth Filter in his "Cybernetic Analysis for Stocks and Futures" chapter 13 on 2004. Function Dr. Ehlers translated analog Butterworth filters to their digital approximations. The transfer response is characterized by a single variable—the cutoff frequency. The cutoff frequency is that frequency...

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Level: 2 Background John F. Ehlers introuced center of gravity (CG) in his "Cybernetic Analysis for Stocks and Futures" chapter 5 on 2004. Function The center of gravity (CG) of a physical object is its balance point. For example, if you balance a 12-inch ruler on your finger, the CG will be at its 6-inch point. If you change the weight distribution of the...

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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 Cyber Cycle Indicator in his "Cybernetic Analysis for Stocks and Futures" chapter 4 on 2004. Function Trading the Cyber Cycle Indicator is straightforward. Buy when the at this point. Sell when the Cycle line crosses under the Trigger line. You are at the bottom of the cycle at this point. Sell when the Cycle line...

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Level: 2 Background John F. Ehlers introuced Fisher Transform of Normalize Price to a N-Day Channel in his "Cybernetic Analysis for Stocks and Futures" chapter 1 on 2004. Function The Fisher transform changes the PDF of any waveform so that the transformed output has an approximately Gaussian PDF. So what does this mean for trading? If the prices are...

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Level: 2 Background John F. Ehlers introuced Adaptive Stochastic in his "Rocket Science for Traders" chapter 21 on 2001. Function The Stochastic measures the current closing price relative to the lowest low over the observation period. It then normalizes this to the range between the highest high and the lowest low over the observation period. If the current...

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Level: 2 Background John F. Ehlers introuced Ehlers Filter in his "Rocket Science for Traders" chapter 18 on 2001. Function blackcat L2 Ehlers Filter is used to follow trend. The filters Dr. Ehlers have invented are nonlinear FIR filters. It turns out that they provide both extraordinary smoothing in sideways markets and aggressively follow major price...

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Level: 2 Background John F. Ehlers introuced Market Mode Identifier in his "Rocket Science for Traders" chapter 11. The simplified model of the market, derived from the Drunkard's Walk problem, has only two modes-the Cycle Mode and the Trend Mode. Through the derivation of the Sinewave Indicator and the Instantaneous Trendline, Ehlers had shown several ways to...

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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 Homodyne Discriminator Cycle Period Measurer in his "Rocket Science for Traders" chapter 7. Homodyne means we are multiplying the signal by itself. More precise, we want to multiply the signal of the current bar with the complex conjugate of the signal 1 bar ago. The complex conjugate is, by definition, a complex...

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Level: 2 Background John F. Ehlers introuced Phase Accumulation technique of cycle period measurement in his "Rocket Science for Traders" chapter 7. It is perhaps the easiest to comprehend. In this technique, John Ehlers measures the phase at each sample by taking the arctangent of the ratio of the Quadrature component to the In-phase component. A delta phase is...

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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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The Alternate Signal To Noise Ratio was created by John Ehlers (Rocket Science For Traders pgs 84-85) and this is a variation of his signal to noise ratio that some scalpers might find more useful than his default signal to noise ratio. You would want to buy and sell when the indicator is above the dotted line because that means the stock is volatile enough to...

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The Zero Mean Roofing Filter was created by John Ehlers (Cycle Analytics For Traders pg 80) and this is a much more reactive roofing filter compared to Ehler's Roofing Filter which I also added for reference. Buy when the indicator rises over 0 and sell when the indicator falls below 0. This was a special request so let me know if there are other indicators you...

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The Decycler Oscillator was created by John Ehlers (Cycle Analytics For Traders pgs 43-44) and it is used to show transitions between uptrends and downtrends. If it rises above the 0 line then this means it has transitioned to an uptrend and it falls below the 0 line then it is in a downtrend. Buy if the indicator line is green and sell when it is red. This was a...

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The 3 Pole Butterworth Filter was created by John Ehlers (Cycle Analytics For Traders pg 32) and this is a nice filter that follows the price very closely. Buy when the indicator is green and sell when it turns red. This was a custom request so let me know if you would like me to publish any other scripts or if you want something custom done!

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