Level: 2
Background
John F. Ehlers introuced Bandpass Filter in his "Cycle Analytics for Traders" chapter 5 on 2004.
Function
After declaring variables, the band-pass filter calculation is preceded by a high-pass filter whose cutoff frequency is one half-bandwidth octave below the lower-frequency critical frequency of the band-pass filter to avoid...
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...
Level: 2
Background
John F. Ehlers introuced Decycler in his "Cycle Analytics for Traders" chapter 4 on 2004.
Function
The concept of a decycler is really pretty simple. The cyclic components are removed by the process of cancellation. If the high-pass filter output is subtracted from the input data, the residual only contains the low-frequency components....
Level: 2
Background
John F. Ehlers introuced Leading Indicator in his "Cybernetic Analysis for Stocks and Futures" chapter 16 on 2004.
Function
The leading characteristic is present in the net filte.As predicted, the lead is one bar at very low frequencies. That is, the trend indication will lead by one bar. However, the net filter has a lag of approximately...
Level: 2
Background
John F. Ehlers introuced Laguerre RSI Indicator in his "Cybernetic Analysis for Stocks and Futures" chapter 14 on 2004.
Function
“Truth and science always triumph over ignorance and superstition.” said by Dr. Ehlers. We can generate superior smoothing with very short filters, it follows that we should be able to create superior indicators...
Level: 2
Background
John F. Ehlers introuced Laguerre Filter in his "Cybernetic Analysis for Stocks and Futures" chapter 14 on 2004.
Function
The Laguerre transform can be represented as an exponential moving average (EMA) low-pass filter (the first term) followed by a succession of allpass elements instead of unit delays (the k − 1 terms). All terms have...
Level: 2
Background
John F. Ehlers introuced Three Pole Super Smoother in his "Cybernetic Analysis for Stocks and Futures" chapter 13 on 2004.
Function
The Super Smoother filter is formed by retaining the IIR part of a Butterworth digital filter. The order of Super Smoother filters can be increased indefinitely to increase the sharpness of the filter...
Level: 2
Background
John F. Ehlers introuced Two Pole Super Smoother in his "Cybernetic Analysis for Stocks and Futures" chapter 13 on 2004.
Function
The transfer response of the two-pole Super Smoother is almost identical to the transfer response of the Regularized filter. The difference between the two is that the characteristics of the Super Smoother are...
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...
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...
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...
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...
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...
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...
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...
Level: 2
Background
John F. Ehlers introuced Instantaneous Trendline Trading Strategy in his "Cybernetic Analysis for Stocks and Futures" chapter 3 on 2004.
Function
With the crossover strategy that Dr. Ehlers has developed it is possible to be on the wrong side of the trade for a substantial period from time to time. For this reason, Dr. Ehlers has added a...
Level: 2
Background
John F. Ehlers introuced the Instantaneous Trendline and the Trigger of the trend-following system in his "Cybernetic Analysis for Stocks and Futures" chapter 3 on 2004.
Function
The process for creating a trendfollowing trading system from the indicators is simple. One unique aspect of the code is that the ITrend is forced to be a finite...
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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