calculateCMC.m File Reference

Function to caluclate the Coefficient of Multiple Correlation. More...

Functions
function	calculateCMC (in y1f, in y2f)
	Function to caluclate the Coefficient of Multiple Correlation.

Detailed Description

Function to caluclate the Coefficient of Multiple Correlation.

Author

Marlies Nitschke

Date

December, 2018

Function Documentation

calculateCMC()

function calculateCMC	(	in	y1f,
		in	y2f
	)

Function to caluclate the Coefficient of Multiple Correlation.

This function will caluclate the Coefficient of Multiple Correlation or CMC for statistical analysis, in order to compare two signals \( Y_{1f} \) and \( Y_{2f} \). It is used to assess the similarity of waveforms. A higher value indicates higher similarity.

\( CMC = \sqrt{1 - \frac{\displaystyle\sum_{m=1}^{M}\sum_{f=1}^{F} (Y_{mf}-\bar{Y}_f)^2 / (F (M-1) )}{\displaystyle\sum_{m=1}^{M}\sum_{f=1}^{F} (Y_{mf}-\bar{Y})^2 / (MF-1) )} } \)

\( \bar{Y}_f = \frac {1}{M} \displaystyle\sum_{m=1}^{M}Y_{mf} \)

\( \bar{Y} = \frac {1}{MF} \displaystyle\sum_{m=1}^{M}\sum_{f=1}^{F}Y_{mf} \)

In this function: \( M=2 \Rightarrow \)

\( Y_{1f} = \left[y_{11},y_{12},\ldots,y_{1F} \right]^T \)

\( Y_{2f} = \left[y_{21},y_{22},\ldots,y_{2F} \right]^T \)

CMC_value = calculateCMC(y1f, y2f)

Warning:

• If the IMC and OMC signals are not of the same size, an error will be thrown.

Parameters

y1f	Double vector: Signal 1
y2f	Double vector: Signal 2

Return values

CMC_value

Double: Coefficient of mulitiple correlation which is between 0 and 1