A method for characterising and modelling the noisy electromagnetic fields from complex circuit boards using a simplified representation of correlated dipoles is investigated. It is shown how the equivalent dipole model can be constructed from the time domain measurements of the near fields. This equivalent model can then be used to accurately reproduce the emissions from the circuit board in both the near and far field. However, it is found that there are many challenges to such an approach as such a technique will require a large measurement data set to be acquired which may be very time consuming and the solution can be ill conditioned.