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How Can I Separate Signal from Noise using corelation

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sefa

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Hi to All,
I am a new member of matlab, and have some questions about noise cancelation. I have 2 sequences, which names are x(n) and y(n).

x(n)= m(n) + e(n) ,vector length is N=730x1-------> yesterday datas
y(n)= m'(n) + e'(n) ,vector length is N=730x1-------> today datas

e(n) and e'(n) are the thermal noise and these are uncorelated, but m(n) and m'(n) are the errors and these are corelated. So, I want the saparate the signal and obtain the m(n) and m'(n) values under cover of the corelation between two sequences.

How can I separate m and e values? Please give me some advice and instractions for this issue or Have you any advice about a method? I am a matlab user but I am just beginner degree.

Finally, corelation with 2 sequences are:
corr2(x,y)= 0.68
but I suppose that m and m' sequences corelation is over ~80%.

Thank you
Sincerely,
 

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