## Create a moving average

### Dirk (view profile)

on 28 Jun 2013
Latest activity Commented on by Image Analyst

on 30 Nov 2017

### Andrei Bobrov (view profile)

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

### Andrei Bobrov (view profile)

on 28 Jun 2013

L = filter(ones(101,1)/101,1,[A(:) zeros(50,1)]);
out = L(51:end); ### Image Analyst (view profile)

on 28 Jun 2013
Edited by Image Analyst

### Image Analyst (view profile)

on 28 Jun 2013

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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Image Analyst

### Image Analyst (view profile)

on 29 Nov 2017
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.
Nuchto

### Nuchto (view profile)

on 30 Nov 2017
So you could use ones(101,1) first, and onces it is convolved you can divide by 101?
Image Analyst

on 30 Nov 2017
Yes.

### Grzegorz Knor (view profile)

on 7 Apr 2017

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

Image Analyst

### Image Analyst (view profile)

on 7 Apr 2017
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.

### Marc (view profile)

on 28 Jun 2013

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

### the cyclist (view profile)

on 28 Jun 2013

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

Dirk

### Dirk (view profile)

on 28 Jun 2013
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