moving average considering the first and end data points without changing window size, cyclic window

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nlm
nlm 2020-3-20
评论： Rik 2020-3-21
How can you calculate moving average, where for edges, it uses the first and last data (cyclic) points instead of decreasing the window size. For example, if my window size = 10, and number of data points = 100, then for an moving average at point 1, it uses end 5 values at 100,99,98,97,96 and 2,3,4,5,6. Similarly, at point 2, it uses, 1,100,99,98,97 and 3,4,5,6,7 so on and so forth.

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Ameer Hamza
Ameer Hamza 2020-3-20
编辑：Ameer Hamza 2020-3-21
Try this
x = 1:100;
window_size = 11;
window = ones(1, window_size)/window_size;
y = cconv(x, window, numel(x));
y = circshift(y, -floor(window_size/2));
Without cconv
x = 1:100;
window_size = 11;
left_window = floor((window_size-1)/2);
right_window = floor((window_size)/2);
x = [x(end-left_window+1:end) x x(1:right_window)];
y = movmean(x, [left_window right_window], 'Endpoints', 'discard');
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Rik
Rik 2020-3-21
I didn't know about the cconv function, so my first thought was to extend both side with the data from the other side (so your second option). I you keep learning

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