Residual of Wavelet decomposition of data. It is the difference between the original data and the decomposed data. A lower scale gives higher frequency signal and vice versa of the decomposed data.

Parameter

Description

Input Data*

Defines the time series data fed into the function. This can be a sensor ID or another function.

Scale

Defines the proportion at which to decompose data.

The Scale must be a whole number >= 1.

A smaller number means that a shorter window of data is considered and higher frequency fluctuations are accounted for. Larger Scales will smooth out the data more.

*Input data is optional in most cases. If Info360 detects that the first input is time series data, it will be applied to the function. Otherwise, the current active sensor's data will be used, which is often the case in Reference Charts.

Example Usage as an Expression:

Residual(Change(3), 2) - finds the residual of values changed in the last 3 intervals, at a scale of 2.

Examples Reference Chart:

The following example shows Decompose(), which captures a smooth trend of the data, while Residual() contains the remainder of the signal (i.e. the difference between the decomposed and original signals).

As illustrated, Decompose(3)+Residual(3) is equal to the original signal.


For information on setting up custom equations and syntax, please refer to Analytical Functions.