How to calculate the means of n adjacent units of a vector?

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Ekin 2015-2-9

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评论： Ekin 2015-2-9

Hi, i have a question about vectors.

For example i have a vector A=[1 2 3 4 5 6 7 8 9 10]T I want to get the mean values of every two adjacent units in this vector. I mean i should get B=[1,5 2,5 3,5 4,5 5,5 6,5 7,5 8,5 9,5]T

1,5=(1+2)/2 , 2,5=(2+3)/2 etc.

or every 3 units i should get: C=[2 3 4 5 6 7 8 9]T

2=(1+2+3)/3 , 3=(2+3+4)/3 etc.

or every 4 units i should get: D=[2,5 3,5 4,5 5,5 6,5 7,5 8,5]T etc.

Is there any way to do that for large vectors by using mean() function easily (not using any loop)?

Thanks in advance

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采纳的回答

Roger Stafford 2015-2-9

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If you want the mean of each n successive values in A, to place it in X, do this:

X = mean(hankel(A(1:n),A(n,end)),1);

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Roger Stafford 2015-2-9

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Oops, you're right, Guillaume. It should be

X = mean(hankel(A(1:n),A(n:end)),1);

Ekin 2015-2-9

Oh, thanks. It works fine for now.

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