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@@ -0,0 +1,23 @@
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+function xy_clean = clean_coordinates(xy, sigma)
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+if nargin ==1, sigma = 1.96; end
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+xy_clean = xy;
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+nan_list = isnan(xy);
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+speed = [0, mean(abs(diff(xy(1,:))) + abs(diff(xy(2,:))))];
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+speed_threshold = mean(speed, 'omitnan')+sigma*std(speed, 'omitnan');
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+outliers = find(speed>speed_threshold);
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+
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+% interpolate empty spots
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+xy_clean(:,outliers-1) = nan;
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+xy_clean(:,outliers) = nan;
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+xy_clean(:,outliers+1) = nan;
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+
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+% interpolate empty spots
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+xy_clean(1,:) = interp_nan(xy_clean(1,:));
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+xy_clean(2,:) = interp_nan(xy_clean(2,:));
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+end
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+
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+%% subfunction
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+function y = interp_nan(x)
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+nanx = isnan(x); t = 1:numel(x);
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+y = x; y(nanx) = interp1(t(~nanx), x(~nanx), t(nanx));
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+end
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