Create a moving average

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Dirk
Dirk 2013-6-28
编辑： Adam Danz 2021-9-19
Hi There, How can I calculate a moving average for a column of data. For instance i want to average the 50 points either side of each data point in my column. Thanks

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Andrei Bobrov
Andrei Bobrov 2013-6-28
A - your data
L = filter(ones(101,1)/101,1,[A(:) zeros(50,1)]);
out = L(51:end);

更多回答（5 个）

Image Analyst
Image Analyst 2013-6-28
编辑：Image Analyst 2013-6-28
For a 1D column vector:
movingAverage = conv(yourSignal, ones(101,1)/101, 'same');
For a 2D array of columns:
movingAverage = conv2(yourSignal, ones(101,1)/101, 'same');
If you don't want the central pixel to be included in the average and have ONLY the 50 on either side, use
kernel = ones(101,1)/100;
kernel(51) = 0;
movingAverage = conv(yourSignal, kernel, 'same');
Same for a 2D matrix except use conv2 instead of conv. conv() and conv2() are highly optimized and very fast.
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Nuchto
Nuchto 2017-11-30
So you could use ones(101,1) first, and onces it is convolved you can divide by 101?

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Grzegorz Knor
Grzegorz Knor 2017-4-7
编辑：Adam Danz 2021-9-19
From MATLAB R2016a there is a function movmean which does not require additional toolboxes.
  1 个评论
Image Analyst
Image Analyst 2017-4-7
True, and it offers some edge handling options ('shrink', 'discard', 'fill') that conv2() does not have.
conv2() also does not require any toolboxes because it's in base MATLAB.

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Marc
Marc 2013-6-28
If you have the financial toolbox, doc movavg()....
[Short, Long] = movavg(Asset, Lead, Lag, Alpha)
the cyclist
the cyclist 2013-6-28
This page of the MATLAB documentation has an example of using the filter() command to calculate a moving average:
http://www.mathworks.com/help/matlab/data_analysis/filtering-data.html
  1 个评论
Dirk
Dirk 2013-6-28
Thanks. The filter function is set to average data from the previous n measurements. Is there a simple way to specify a different averaging criteria? Thanks

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Jan
Jan 2013-6-28
There are many moving average filters in the FileExchange. Whenever a standard problem occurs, looking in the FEX is a good idea:
http://www.mathworks.com/matlabcentral/fileexchange/index?utf8=%E2%9C%93&term=moving+average

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