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Helme-Nikias Weighted Burg AR-SE Extra. of Price [Loxx]

Von loxx
Aktualisiert
Helme-Nikias Weighted Burg AR-SE Extra. of Price [Loxx] is an indicator that uses an autoregressive spectral estimation called the Weighted Burg Algorithm, but unlike the usual WB algo, this one uses Helme-Nikias weighting. This method is commonly used in speech modeling and speech prediction engines. This is a linear method of forecasting data. You'll notice that this method uses a different weighting calculation vs Weighted Burg method. This new weighting is the following:

w = math.pow(array.get(x, i - 1), 2), the squared lag of the source parameter

and

w += math.pow(array.get(x, i), 2), the sum of the squared source parameter

This take place of the rectangular, hamming and parabolic weighting used in the Weighted Burg method

Also, this method includes Levinson–Durbin algorithm. as was already discussed previously in the following indicator:

Levinson-Durbin Autocorrelation Extrapolation of Price [Loxx]
Levinson-Durbin Autocorrelation Extrapolation of Price [Loxx]


What is Helme-Nikias Weighted Burg Autoregressive Spectral Estimate Extrapolation of price?
In this paper a new stable modification of the weighted Burg technique for autoregressive (AR) spectral estimation is introduced based on data-adaptive weights that are proportional to the common power of the forward and backward AR process realizations. It is shown that AR spectra of short length sinusoidal signals generated by the new approach do not exhibit phase dependence or line-splitting. Further, it is demonstrated that improvements in resolution may be so obtained relative to other weighted Burg algorithms. The method suggested here is shown to resolve two closely-spaced peaks of dynamic range 24 dB whereas the modified Burg schemes employing rectangular, Hamming or "optimum" parabolic windows fail.

Data inputs
  • Source Settings: -Loxx's Expanded Source Types. You typically use "open" since open has already closed on the current active bar
  • LastBar - bar where to start the prediction
  • PastBars - how many bars back to model
  • LPOrder - order of linear prediction model; 0 to 1
  • FutBars - how many bars you want to forward predict


Things to know
  • Normally, a simple moving average is calculated on source data. I've expanded this to 38 different averaging methods using Loxx's Moving Avreages.
  • This indicator repaints


Further reading
A high-resolution modified Burg algorithm for spectral estimation

Related Indicators
Levinson-Durbin Autocorrelation Extrapolation of Price [Loxx]
Levinson-Durbin Autocorrelation Extrapolation of Price [Loxx]


Weighted Burg AR Spectral Estimate Extrapolation of Price [Loxx]
Weighted Burg AR Spectral Estimate Extrapolation of Price [Loxx]
Versionshinweise
Fixed calculation error.
Versionshinweise
Changed plot to line and cleaned up coordinate drawing functions.
Snapshot
Versionshinweise
Coordinate cleanup.
Versionshinweise
Updated drawing functions
Versionshinweise
Increased lookback range to max of 2000 bars. Future bar draws are limited to math.min(array output calcs, FutBars) settings. All settings work now.
Versionshinweise
Updated lines calculations
autoregressiveBURGforecastforecastinghelmenikiaspredictionspectralestimateTrend Analysisweightedburg

Open-source Skript

Ganz im Sinne von TradingView hat dieser Autor sein/ihr Script als Open-Source veröffentlicht. Auf diese Weise können nun das Script auch andere Trader verstehen und prüfen. Vielen Dank an den Autor! Sie können das Script kostenlos verwenden. Die Nutzung dieses Codes in einer Veröffentlichung wird in unseren Hausregeln reguliert. Sie können es als Favoriten auswählen, um es in einem Chart zu verwenden.

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loxx
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