Technical Studies Reference

AC DC Histogram - Bill Williams Acceleration Deceleration Oscillator

This study calculates and displays the Bill Williams Acceleration/Deceleration Oscillator. It is computed using four Simple Moving Averages with Lengths \(n_1\), \(n_2\), \(n_3\), and \(n_4\). All four moving averages use the same Input Data.

We begin by finding \(\Delta MA_t(X,n_2,n_1)\), the difference of the moving averages with lengths \(n_1\) and \(n_2\) at Index \(t\).

\(\Delta MA_t(X,n_2,n_1) = MA_t(X,n_2) - MA_t(X,n_1)\)

The height of the AC/DC Histogram at Index \(t\) for the given Inputs is denoted as \(ACDC_t(X,n_1,n_2,n_3,n_4)\). We compute this for \(t \geq \max\{n_1,n_2\} + n_3 + n_4\) as follows.

\(ACDC_t(X,n_1,n_2,n_3,n_4) = MA_t((\Delta MA(X,n_2,n_1) - MA(\Delta MA(X,n_2,n_1),n_4)),n_3)\)

In the above formula, \(\Delta MA(X,n_2,n_1)\) is a random variable corresponding to \(\Delta MA_t(X,n_2,n_1)\).



The spreadsheet below contains the formulas for this study in Spreadsheet format. Save this Spreadsheet to the Data Files Folder.

Open it through File >> Open Spreadsheet.


*Last modified Wednesday, 03rd January, 2018.