The Middleton class B model has been shown in the literature as an appropriate model to describe certain non-Gaussian interference phenomena. However, its use is often limited because the probability density function has a very complicated form. In this paper, we derive a mixture representation for the Middleton class B model where the density function is expressed as a weighted sum of Chi-distributions with positive and monotonically decreasing coefficients. Therefore, the user can choose a finite linear combination of these simple distributions to approximate the Middleton class B density function to any desirable accuracy. The results presented in this paper help to extend the applicability of the Middleton class B model in practice.
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