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

Helme-Nikias Weighted Burg AR-SE Extra. of Price 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

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

Weighted Burg AR Spectral Estimate Extrapolation of Price

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Fixed calculation error.

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Changed plot to line and cleaned up coordinate drawing functions.

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Coordinate cleanup.

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Updated drawing functions

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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.

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Updated lines calculations