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

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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]

Weighted Burg AR Spectral Estimate Extrapolation of Price [Loxx]

リリースノート

Fixed calculation error.

リリースノート

Changed plot to line and cleaned up coordinate drawing functions.

リリースノート

Coordinate cleanup.

リリースノート

Updated drawing functions

リリースノート

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.

リリースノート

Updated lines calculations

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