FATL, SATL, RFTL, & RSTL Digital Filters Raw [Loxx]FATL, SATL, RFTL, & RSTL Digital Filters Raw is an indicator to showcase FATL, SATL, RFTL, & RSTL Digital Filters with their raw output values. The coefficients used here are for an idealized environment. This is tuned for Forex.
What is FATL?
FATL (Fast Adaptive Trend Line) is calculated using low frequency digital filter (FLF-1).
FLF-1 filter is necessary for high frequency noises suppression and reduction of market cycles with a very short volatility periods that can also be considered as a noise.
Filters of low frequency FLF-1 and FLF-2 provide attenuation in the stop band with no less than 40 dB and absolutely don’t distort the amplitude and phase of entry discontinuous price series in the pass band (bandwidth). These properties of the digital filters provide significantly improved (in comparison with simple moving average) noise suppression that in its turn allows reducing sharply the probability of appearance "false" signals for buy and sell.
There are no analogues to FATL among widely known technical instruments. It is not a moving "average", but just the adaptive lines estimates of the short-term trends. Unlike moving "average", FATL has no any phase delay with regard to current prices.
What is SATL?
Slow Adaptive Trend Line (SATL) is formed with the digital filter of the low frequency FLF-2.
Filter FLF-2 serves to suppress noises and market cycles with longer periods of oscillation. Filters of low frequency FLF-1 and FLF-2 provide attenuation in the stop band with no less than 40 dB and absolutely don’t distort the amplitude and phase of entry discontinuous price series in the pass band (bandwidth).
These properties of the digital filters provide significantly improved (in comparison with simple moving average) noise suppression that in its turn allows reducing sharply the probability of appearance of "false" signals for purchase and sell.
There are no analogues to SATL among widely known technical instruments. This is not a moving "average", but just the adaptive line estimate of a long-term trend.
Unlike moving average, SATL has no any phase delay with regard to current prices.
What is RFTL?
Reference Fast Trend Line (RFTL) is a response of FLF-1 and FLF-2 digital filters to the input discrete sequence. This response is set with the delay equal to the Nyquist TNi range.
RFTL reference line is an equivalent of simple moving "averages" from the viewpoint of their delay relative to the current prices. Mentioned similarity would have been complete, in case we use an impulse parameter having 1/N weights that corresponds to the procedure of the dotted moving smoothing instead of the complicated FLF impulse parameters.
What is RSTL?
Reference Slow Trend Line (RSTL) is a response of the SATL digital filter to the series of input prices with a delay equal to the Nyquist interval of 1/2F.
Dsf
Jurik Filtered Perfect CCI (PCCI) [Loxx]Jurik Filtered Perfect CCI (PCCI) is a faster and more accurate version of CCI with Jurik Filtering.
What is the PCCI (Perfect Commodity Channel Index)?
PCCI (Perfect Commodity Channel Index) indicator is calculated by the following formula:
PCCI(bar) = close(bar) – DF(bar)
PCCI resembles D. Lambert's Commodity Channel Index by the method of its calculation.
Actually, CCI index is calculated as a normalized difference between the current price and its moving average. PCCI is calculated as a difference between a day closing price and its statistical expectation presented by a Digital Fitler value. Therefore, PCCI is more efficient than CCI.
PCCI index is a high frequency part of the exchange rate fluctuations normalized according to its standard deviation.
What is Jurik Volty used in the Juirk Filter?
One of the lesser known qualities of Juirk smoothing is that the Jurik smoothing process is adaptive. "Jurik Volty" (a sort of market volatility ) is what makes Jurik smoothing adaptive. The Jurik Volty calculation can be used as both a standalone indicator and to smooth other indicators that you wish to make adaptive.
What is the Jurik Moving Average?
Have you noticed how moving averages add some lag (delay) to your signals? ... especially when price gaps up or down in a big move, and you are waiting for your moving average to catch up? Wait no more! JMA eliminates this problem forever and gives you the best of both worlds: low lag and smooth lines.
Ideally, you would like a filtered signal to be both smooth and lag-free. Lag causes delays in your trades, and increasing lag in your indicators typically result in lower profits. In other words, late comers get what's left on the table after the feast has already begun.
Included:
-Bar coloring
