OPEN-SOURCE SCRIPT
TASC 2024.04 The Ultimate Smoother

█ OVERVIEW
This script presents an implementation of the digital smoothing filter introduced by John Ehlers in his article "The Ultimate Smoother" from the April 2024 edition of TASC's Traders' Tips.
█ CONCEPTS
The UltimateSmoother preserves low-frequency swings in the input time series while attenuating high-frequency variations and noise. The defining input parameter of the UltimateSmoother is the critical period, which represents the minimum wavelength (highest frequency) in the filter's pass band. In other words, the filter attenuates or removes the amplitudes of oscillations at shorter periods than the critical period.
According to Ehlers, one primary advantage of the UltimateSmoother is that it maintains zero lag in its pass band and minimal lag in its transition band, distinguishing it from other conventional digital filters (e.g., moving averages). One can apply this smoother to various input data series, including other indicators.
█ CALCULATIONS
Ehlers derived the UltimateSmoother using inspiration from the design principles he learned from his experience with analog filters, as described in the original publication. On a technical level, the UltimateSmoother's unique response involves subtracting a high-pass response from an all-pass response. At very low frequencies (lengthy periods), where the high-pass filter response has virtually no amplitude, the subtraction yields a frequency and phase response practically equivalent to the input data. At other frequencies, the subtraction achieves filtration through cancellation due to the close similarities in response between the high-pass filter and the input data.
This script presents an implementation of the digital smoothing filter introduced by John Ehlers in his article "The Ultimate Smoother" from the April 2024 edition of TASC's Traders' Tips.
█ CONCEPTS
The UltimateSmoother preserves low-frequency swings in the input time series while attenuating high-frequency variations and noise. The defining input parameter of the UltimateSmoother is the critical period, which represents the minimum wavelength (highest frequency) in the filter's pass band. In other words, the filter attenuates or removes the amplitudes of oscillations at shorter periods than the critical period.
According to Ehlers, one primary advantage of the UltimateSmoother is that it maintains zero lag in its pass band and minimal lag in its transition band, distinguishing it from other conventional digital filters (e.g., moving averages). One can apply this smoother to various input data series, including other indicators.
█ CALCULATIONS
Ehlers derived the UltimateSmoother using inspiration from the design principles he learned from his experience with analog filters, as described in the original publication. On a technical level, the UltimateSmoother's unique response involves subtracting a high-pass response from an all-pass response. At very low frequencies (lengthy periods), where the high-pass filter response has virtually no amplitude, the subtraction yields a frequency and phase response practically equivalent to the input data. At other frequencies, the subtraction achieves filtration through cancellation due to the close similarities in response between the high-pass filter and the input data.
Skrip open-source
Dengan semangat TradingView yang sesungguhnya, penulis skrip ini telah menjadikannya sumber terbuka, sehingga para trader dapat meninjau dan memverifikasi fungsinya. Hormat untuk penulisnya! Meskipun anda dapat menggunakannya secara gratis, ingatlah bahwa penerbitan ulang kode tersebut tunduk pada Tata Tertib kami.
Tools and ideas for all Pine coders: tradingview.com/u/PineCoders/
TASC: traders.com/
There won't be a publication in September; we'll be back in October.
TASC: traders.com/
There won't be a publication in September; we'll be back in October.
Pernyataan Penyangkalan
Informasi dan publikasi tidak dimaksudkan untuk menjadi, dan bukan merupakan saran keuangan, investasi, perdagangan, atau rekomendasi lainnya yang diberikan atau didukung oleh TradingView. Baca selengkapnya di Persyaratan Penggunaan.
Skrip open-source
Dengan semangat TradingView yang sesungguhnya, penulis skrip ini telah menjadikannya sumber terbuka, sehingga para trader dapat meninjau dan memverifikasi fungsinya. Hormat untuk penulisnya! Meskipun anda dapat menggunakannya secara gratis, ingatlah bahwa penerbitan ulang kode tersebut tunduk pada Tata Tertib kami.
Tools and ideas for all Pine coders: tradingview.com/u/PineCoders/
TASC: traders.com/
There won't be a publication in September; we'll be back in October.
TASC: traders.com/
There won't be a publication in September; we'll be back in October.
Pernyataan Penyangkalan
Informasi dan publikasi tidak dimaksudkan untuk menjadi, dan bukan merupakan saran keuangan, investasi, perdagangan, atau rekomendasi lainnya yang diberikan atau didukung oleh TradingView. Baca selengkapnya di Persyaratan Penggunaan.