Iterative MMSE/MAP impulsive noise reduction for OFDM

This paper proposes an iterative Minimum Mean Square Error (MMSE)/Maximum A Posteriori (MAP) technique for impulsive noise reduction in telecommunications with Orthogonal Frequency Division Modulation (OFDM) modulation, its derivation and connection to previous works. Two versions of the technique are presented and compared with other works using Middleton class A noise and measured power lines noise. The technique starts by making an MMSE or MAP estimation of the received signal in the transform domain, and then it proceeds to make an MMSE estimate of the impulsive noise in the time domain. The estimate of the noise is then used to improve the estimate of the signal and this is done repeatedly.