Math Forum Discussions

Eric

Posts: 5
Registered: 9/7/12

Categorize rows of matrix
Posted: Mar 19, 2013 8:31 PM

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Hi,

I am working on categorizing a 100x5 matrix that I am calling coupling. Each row contains a coupling angle (gamma) 0:360 degrees and the columns are trials. The coupling angles are broken into four phases based on a polar plot:
gamma = [0:360];% Can I define gamma like this?
inphase == 22.5 <= gamma < 67.5, 202.5 <= gamma < 247.5;
distal_phase == 67.5 <= gamma < 112.5, 247.5 <= gamma < 292.5;
outphase == 112.5 <= gamma < 157.5, 292.5 <= gamma < 337.5;
prox_phase == 0 <= gamma < 22.5, 157.5 <= gamma < 202.5, 337.5 <= gamma < 360;

Furthermore the rows of the matrix coupling are broken down into 4 bins:
bin1 = coupling(1:20,trial number)
bin2 = coupling (21:50, trial number)
bin3 = coupling(51:75, trial number)
bin4 = coupling(76:100, trial number)

I need to loop through each trial and determine the frequency of coupling angle value defined by 1 of my four phases within each bin. For example, in bin1 I could have 25 coupling angles that falls into inphase and zero for the remaining three phases.

I don't know how to find and sum the number of coupling angles that falls within a bin for each trial.

Any suggestions are much appreciated.

Thank you,

Eric

coupling is a (100,5) matrix
bin = [bin1;bin2;bin3;bin4];
gamma = [0:360];
for trial = 1:5
for row = 1:100
for bin_num = 1:bin

if bin == 1
bin1 = coupling(row:20,trial);
inphase == 22.5 <= gamma < 67.5, 202.5 <= gamma < 247.5;
distal_phase == 67.5 <= gamma < 112.5, 247.5 <= gamma < 292.5;
outphase == 112.5 <= gamma < 157.5, 292.5 <= gamma < 337.5;
prox_phase == 0 <= gamma < 22.5, 157.5 <= gamma < 202.5, 337.5 <= gamma < 360;
elseif bin == 2
bin2 = coupling(21:50,trial);
elseif bin == 3
bin3 = coupling(51:75,trial);
elseif bin ==4
bin4 = coupling(76:100,trial);
else
xx = ('bin error')
end
end
end
end