How to compute harmonic average on the blocks of an array?

Question

Nisar Ahmed 2022-8-17

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https://ww2.mathworks.cn/matlabcentral/answers/1780885-how-to-compute-harmonic-average-on-the-blocks-of-an-array

评论： Nisar Ahmed 2022-8-18

Mmin.mat

Hi,

I have attached the data Mmin, I want to compute the harmonic average of first 4 values and then next 4 and so on. In short in the blocky form and each block is of 4 values.

Just like shown in the attached figure. after taking harmonic mean of first four values, there will be one value instead of four and so on.

Can someone help me to write it code?

Thanks

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Answer 1

David Hill 2022-8-17

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https://ww2.mathworks.cn/matlabcentral/answers/1780885-how-to-compute-harmonic-average-on-the-blocks-of-an-array#answer_1028315

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a=randi(100,1,100);%some vector
for k=1:length(a)-3
  A(k)=harmmean(a(k:k+3));
end

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David Hill 2022-8-18

编辑：David Hill 2022-8-18

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I misunderstood you. I thought you wanted a rolling harmonic mean 1-4 then 2-5, then 3-6, 4-7, etc. I simple change will correct.

a=randi(100,1,32);%some vector
c=1;
for k=1:4:length(a)-3
  A(c)=harmmean(a(k:k+3));
  c=c+1;
end
A
A = 1×8
    7.1646   42.5475   57.0370   11.6593   49.3414   59.0867   62.9062   33.5323

Or

m=movsum(1./a,4,'Endpoints','discard');
A=4./m(1:4:end)
A = 1×8
    7.1646   42.5475   57.0370   11.6593   49.3414   59.0867   62.9062   33.5323

Nisar Ahmed 2022-8-18

@David Hill thanks, One more thing is if I want to compute moving harmonic mean (like 1-4 then 2-5, then 3-6, 4-7, etc. ) as you did in your previous comment and want to keep the length of array same as before applying moving harmonic mean. How I can do it? e.g.

a=randi(100,1,100);%some vector

for k=1:length(a)-3

A(k)=harmmean(a(k:k+3));

end

length(A) should be equal to length(A)

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