loxx

Fourier Extrapolator of Price [Loxx]

loxx Premium Mis à jour   
Fourier Extrapolator of Price is a multi-harmonic (or multi-tone) trigonometric model of a price series xi, i=1..n, is given by:

xi = m + Sum( a*Cos(w*i) + b*Sin(w*i), h=1..H )

Where:

  • xi - past price at i-th bar, total n past prices;
  • m - bias;
  • a and b - scaling coefficients of harmonics;
  • w - frequency of a harmonic ;
  • h - harmonic number;
  • H - total number of fitted harmonics.

Fitting this model means finding m, a, b, and w that make the modeled values to be close to real values. Finding the harmonic frequencies w is the most difficult part of fitting a trigonometric model. In the case of a Fourier series, these frequencies are set at 2*pi*h/n. But, the Fourier series extrapolation means simply repeating the n past prices into the future.

This indicator uses the Quinn-Fernandes algorithm to find the harmonic frequencies. It fits harmonics of the trigonometric series one by one until the specified total number of harmonics H is reached. After fitting a new harmonic , the coded algorithm computes the residue between the updated model and the real values and fits a new harmonic to the residue.

see here: A Fast Efficient Technique for the Estimation of Frequency , B. G. Quinn and J. M. Fernandes, Biometrika, Vol. 78, No. 3 (Sep., 1991), pp . 489-497 (9 pages) Published By: Oxford University Press

The indicator has the following input parameters:
  • src - input source
  • npast - number of past bars, to which trigonometric series is fitted;
  • nharm - total number of harmonics in model;
  • frqtol - tolerance of frequency calculations.

The indicator plots the modeled past values

The purpose of this indicator is to showcase the Fourier Extrapolator method to be used in future indicators. While this method can also prediction future price movements, for our purpose here we will avoid doing.
Notes de version: Fixed input names

Script open-source

Dans le véritable esprit de TradingView, l'auteur de ce script l'a publié en open-source, afin que les traders puissent le comprendre et le vérifier. Bravo à l'auteur! Vous pouvez l'utiliser gratuitement, mais la réutilisation de ce code dans une publication est régie par le règlement. Vous pouvez le mettre en favori pour l'utiliser sur un graphique.

Clause de non-responsabilité

Les informations et les publications ne sont pas destinées à être, et ne constituent pas, des conseils ou des recommandations en matière de finance, d'investissement, de trading ou d'autres types de conseils fournis ou approuvés par TradingView. Pour en savoir plus, consultez les Conditions d'utilisation.

Vous voulez utiliser ce script sur un graphique ?