matlab,data,increment,reduction,periodic-processing , Periodic to incremental (data reduction)

## Question:

Tag: matlab,data,increment,reduction,periodic-processing

it's some time i was thinking about solving this problem. I have a registration of angular data (Angle(~20000,1)) variating between 0 and 355 (a potentiometer attached to a rotary testing machine), and I wanted to convert it in an incremental form, since I want the final total angular displacement. The main issue is that between 355 and the next 0 there are no jumps but a fast decrement (with strongly negative slope in time vs angle space). I've tried 2 ways up to now:

1) Calculate the Angslope=diff(Angle), extract with find the indexes j1=find(Angslope>0.2 & Angslope<0.2) to avoid the negative slopes due to the inversion of angular signal, then try to apply those indexes to the original Angle(n,1), as Angle2=Angle(j1). The trouble is the n-1 lenght of Angslope and the fact that somehow there is not a simple shift of my indexes of one position.

2) For cycles and logical, wanting to exclude data if the previous one is < the current value,etc

``````    Angle2=zeros(size(Angle,1),1);

for i=2:size(Angle,1)
if Angle(i,1)<Angle(i-1,1)
Angle2(i,1)=NaN;
else    Angle2(i,1)=Angle(i,1);
end
end
``````

Which works good, but I don't know how to "match up" the single increment steps I obtain!

Any help or simple comment would be of great help!! Thanks in advance people!

You are probably looking for the `unwrap` function. For this you have to convert your angles into radians, but that's not a big deal.

You can get the increments in one line:

``````Inc = diff(unwrap(Angle*pi/180))*180/pi;
``````

``````Tot = sum(Inc);
``````

Best,

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