Create a moving average

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

 采纳的回答

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.

4 个评论

Thanks. Why do you divide by 101?
You divide by however many 1's there are in the kernel. If you don't then you're not getting the average. Remember the average is the sum divided by the number of elements in the sum. If you didn't have 101, then you'd simply be summing 101 values and the resulting image would be 101 times as bright rather than in the same intensity range as the original.
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

3 个投票

From MATLAB R2016a there is a function movmean which does not require additional toolboxes.

1 个评论

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

1 个投票

If you have the financial toolbox, doc movavg()....
[Short, Long] = movavg(Asset, Lead, Lag, Alpha)
the cyclist
the cyclist 2013-6-28

1 个投票

This page of the MATLAB documentation has an example of using the filter() command to calculate a moving average:

1 个评论

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

1 个投票

There are many moving average filters in the FileExchange. Whenever a standard problem occurs, looking in the FEX is a good idea:

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