Compute Normalized Cross-Correlation in Python












3














I have been struggling the last days trying to compute the degrees of freedom of two pair of vectors (x and y) following reference of Chelton (1983) which is:



degrees of freedom according to Chelton(1983)



and I can't find a proper way to calculate the normalized cross correlation function using np.correlate,
I always get an output that it isn't in between -1, 1.



Is there any easy way to get the cross correlation function normalized in order to compute the degrees of freedom of two vectors?










share|improve this question





























    3














    I have been struggling the last days trying to compute the degrees of freedom of two pair of vectors (x and y) following reference of Chelton (1983) which is:



    degrees of freedom according to Chelton(1983)



    and I can't find a proper way to calculate the normalized cross correlation function using np.correlate,
    I always get an output that it isn't in between -1, 1.



    Is there any easy way to get the cross correlation function normalized in order to compute the degrees of freedom of two vectors?










    share|improve this question



























      3












      3








      3







      I have been struggling the last days trying to compute the degrees of freedom of two pair of vectors (x and y) following reference of Chelton (1983) which is:



      degrees of freedom according to Chelton(1983)



      and I can't find a proper way to calculate the normalized cross correlation function using np.correlate,
      I always get an output that it isn't in between -1, 1.



      Is there any easy way to get the cross correlation function normalized in order to compute the degrees of freedom of two vectors?










      share|improve this question















      I have been struggling the last days trying to compute the degrees of freedom of two pair of vectors (x and y) following reference of Chelton (1983) which is:



      degrees of freedom according to Chelton(1983)



      and I can't find a proper way to calculate the normalized cross correlation function using np.correlate,
      I always get an output that it isn't in between -1, 1.



      Is there any easy way to get the cross correlation function normalized in order to compute the degrees of freedom of two vectors?







      python numpy correlation cross-correlation






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited Nov 22 at 22:31

























      asked Nov 22 at 18:04









      Daniela Belén Risaro

      184




      184
























          1 Answer
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          Nice Question. There is no direct way but you can "normalize" the input vectors before using np.correlate like this and reasonable values will be returned within a range of [-1,1]:



          If a and b are the vectors:



          a = (a - np.mean(a)) / (np.std(a) * len(a))
          b = (b - np.mean(b)) / (np.std(b))
          c = np.correlate(a, b, 'full')





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            1 Answer
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            active

            oldest

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            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            1














            Nice Question. There is no direct way but you can "normalize" the input vectors before using np.correlate like this and reasonable values will be returned within a range of [-1,1]:



            If a and b are the vectors:



            a = (a - np.mean(a)) / (np.std(a) * len(a))
            b = (b - np.mean(b)) / (np.std(b))
            c = np.correlate(a, b, 'full')





            share|improve this answer


























              1














              Nice Question. There is no direct way but you can "normalize" the input vectors before using np.correlate like this and reasonable values will be returned within a range of [-1,1]:



              If a and b are the vectors:



              a = (a - np.mean(a)) / (np.std(a) * len(a))
              b = (b - np.mean(b)) / (np.std(b))
              c = np.correlate(a, b, 'full')





              share|improve this answer
























                1












                1








                1






                Nice Question. There is no direct way but you can "normalize" the input vectors before using np.correlate like this and reasonable values will be returned within a range of [-1,1]:



                If a and b are the vectors:



                a = (a - np.mean(a)) / (np.std(a) * len(a))
                b = (b - np.mean(b)) / (np.std(b))
                c = np.correlate(a, b, 'full')





                share|improve this answer












                Nice Question. There is no direct way but you can "normalize" the input vectors before using np.correlate like this and reasonable values will be returned within a range of [-1,1]:



                If a and b are the vectors:



                a = (a - np.mean(a)) / (np.std(a) * len(a))
                b = (b - np.mean(b)) / (np.std(b))
                c = np.correlate(a, b, 'full')






                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered Nov 22 at 18:12









                seralouk

                5,62522338




                5,62522338






























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