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</math> in which integrals can be replaced by summations for discrete representation. Using Parseval relationship it is clear that the three real numbers are the second order moments of the power spectrum of <math>I</math>. The following second order complex moment of the power spectrum of <math>I</math> can then be written as
:<math display="inline">
\kappa_{20} =\mu_{20}-\mu_{02}+i2\mu_{11}=\int (w(r) (I_x(p-r)+i I_y(p-r))^2\,d r =(\lambda_1-\lambda_2)\exp(i2\phi)
</math>
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Likewise the following second order complex moment of the power spectrum of <math>I</math>, which happens to be always real because <math>I</math> is real,
:<math display="inline">
\kappa_{11} =\mu_{20}+\mu_{02}=\int (w(r) |I_x(p-r)+i I_y(p-r)|^2\,d r =\lambda_1+\lambda_2
</math>
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