# Exporting Data from Matlab to BESA Statistics

 Module information Modules BESA Statistics Version 1.0 or higher

## Introduction

This is a short tutorial on how to export MEG data from Matlab in a file format readable by BESA Statistics. For the purpose of this example, MEG data is used, however, the case of EEG data should not be very different. As an example the standard structure generated by FieldTrip after time-lock analysis is used ft_timelockanalysis(...) with the option cfg.keeptrials = 'yes';.

The structure looks like this:

timelock_cond1 =

avg: [147x475 double]
var: [147x475 double]
time: [1x475 double]
dof: [147x475 double]
label: {147x1 cell}
trial: [100x147x475 double]
dimord: 'rpt_chan_time'
trialinfo: [100x1 double]
cfg: [1x1 struct]

The matrix avg contains the averaged data for the current condition and the matrix trial contains the single trial data. In this case there are 100 trials, the data contains 147 channels (this is a 148 channels BTI system but 1 channel was defined as bad) and 475 time samples. An important substructure is grad, it contains the positions of the MEG channels. In order to be able to follow the steps in this tutorial you need to download the scripts for exporting data from Matlab to BESA here: [1].

## Exporting procedure

Let us assume that we already have the data for one subject and two conditions (cond1 and cond2) in these two structures:timelock_cond1 and timelock_cond2.

### Exporting single trial data as ascii-vectorized files (.avr)

For the export of the single trial data in an .avr-file format we need the function besa_save2Avr(...) which is contained in the zip-file mentioned above.

Matlab code:

%% Export single trial data for condition 1

NumChannels = size(timelock_cond1.avg, 1);
NumTrials = size(timelock_cond1.trial, 1);

% the output directory
custom_path = 'D:\Data\C1';
% Multiply by 1000 to get the time in milliseconds.
time_samples = timelock_cond1.time.*1000;
channel_labels = timelock_cond1.label;
data_scale_factor = 1.0;
time_scale_factor = 1.0;

for iTr = 1:NumTrials

% The file name where data should be written.
file_name = ['Condition1Trial' num2str(iTr) '.avr'];
% Multiply by 1e15 to get the data in femtoTesla.
data_matrix = squeeze(timelock_cond1.trial(iTr, :, :)).*1e15;

% Save the data
besa_save2Avr(custom_path, file_name, data_matrix, time_samples, ...
channel_labels, data_scale_factor, time_scale_factor);

end

%% Export single trial data for condition 2

NumTrials = size(timelock_cond2.trial, 1);

% the output directory
custom_path = 'D:\Data\C2';
% Multiply by 1000 to get the time in milliseconds.
time_samples = timelock_cond2.time.*1000;
channel_labels = timelock_cond2.label;
data_scale_factor = 1.0;
time_scale_factor = 1.0;

for iTr = 1:NumTrials

% The file name where data should be written.
file_name = ['Condition2Trial' num2str(iTr) '.avr'];
% Multiply by 1e15 to get the data in femtoTesla.
data_matrix = squeeze(timelock_cond2.trial(iTr, :, :)).*1e15;

% Save the data
besa_save2Avr(custom_path, file_name, data_matrix, time_samples, ...
channel_labels, data_scale_factor, time_scale_factor);

end

Please note that it is also possible to use the function besa_matrix2Gen(...) to save the data in a binary format instead of ASCII-format and thus obtain a better precision; however, you are going to be able to load this data only in BESA Statistics 2.0 and not in version 1.0.

### Rearrange the channel positions

Sometimes it can happen that the order of the channels in the main structure (e.g. timelock_cond1.avg, timelock_cond1.label, timelock_cond1.trial etc) is different compared to the order of the channels in the grad-substructure (e.g. timelock_cond1.grad.chanpos, timelock_cond1.grad.label etc). In this case we have to rearrange the channel positions in the grad-substructure to have the same order as in the main structure.

Matlab code:

%% Rearrange channels in grad

SortedCoordinates = zeros(NumChannels, 3);

for iCh1 = 1:NumChannels

CurrLabel1 = timelock_cond1.label{iCh1};

if(strcmp(CurrLabel1, CurrLabel2))

end

end

end

### Transform to spherical coordinates

Since the positions of the channels in the structure timelock_cond1.grad.chanpos are given in Cartesian coordinates we have to transform them to spherical coordinates in order to be able to generate the .elp-file that is read by BESA Statistics. For this purpose, use the function besa_transformCartesian2Spherical(...).

Matlab code:

%% Transform to spherical coordinates

SphericalCoords = zeros(NumChannels, 3);

% Create a matrix for rotation about the z-axis.
Angle1 = -90;
rotate1 = [cosd(Angle1) -sind(Angle1) 0; sind(Angle1) cosd(Angle1) 0; 0 0 1];

% Perform rotation.
RotatedPositions = SortedCoordinates*rotate1;

for iCh = 1:NumChannels

% Get the current coordinates and normalize the radius to 1.0.
CurrCartesianCoords = RotatedPositions(iCh, :) / ...
sqrt(sum(RotatedPositions(iCh, :).^2));
% Perform the transformation from Cartesian to spherical coordinates.
[azimuth, elevation, r] = besa_transformCartesian2Spherical( ...
CurrCartesianCoords(1), CurrCartesianCoords(2), ...
CurrCartesianCoords(3));
% Assign the transform values to the output matrix.
SphericalCoords(iCh, 1) = azimuth;
SphericalCoords(iCh, 2) = elevation;
SphericalCoords(iCh, 3) = r;

end

### Export the elp-file

After the Cartesian coordinates were transformed to spherical we are ready to save the new coordinates in an elp-file. For that we need the function besa_save2Elp(...).

Matlab code:

%% Export elp-file

% the output directory
custom_path = 'D:\Data';
% The file name where data should be written.
file_name = 'Subject1.elp';
% The type of the channels to be stored.
channel_type = 'MEG';

status = besa_save2Elp(custom_path, file_name, ...
SphericalCoords, channel_labels, channel_type);

In order to make sure that BESA Statistics finds the elp-file, please copy it into one of the two data folders (here D:\Data\C1 or D:\Data\C2).